PUBLICATIONS

Complete List of Publications (PS)

• Papers:
  1. Generalized Dirichlet series and Hecke's functional equation, Proc. Edinburgh Math. Soc. 15 (1967), 309-313.
  2. An identity for certain Dirichlet series, Glasgow Math. J. 9 (1968), 79-82.
  3. Identities involving the coefficients of a class of Dirichlet series. I, Trans. Amer. Math. Soc. 137 (1969), 345-359.
  4. Identities involving the coefficients of a class of Dirichlet series. II, Trans. Amer. Math. Soc. 137 (1969), 361-374.
  5. Arithmetical identities and Hecke's functional equation, Proc. Edinburgh Math. Soc. 16 (1969), 221-226.
  6. On the zeros of the Riemann zeta-function, Proc. Amer. Math. Soc. 22 (1969), 183-188.
  7. A note on the number of integral ideals of bounded norm in a quadratic number field, Bull. Amer. Math. Soc. 75 (1969), 1283-1285.
  8. Identities involving the coefficients of a class of Dirichlet series. III, Trans. Amer. Math. Soc. 146 (1969), 323-348.
  9. On the zeros of a class of Dirichlet series, I, Illinois J. Math. 14 (1970), 244-258.
  10. Identities involving the coefficients of a class of Dirichlet series. IV, Trans. Amer. Math. Soc. 149 (1970), 179-185.
  11. On the average order of some arithmetical functions, Bull. Amer. Math. Soc. 76 (1970), 858-859.
  12. The number of zeros for zeta^(k)(s), J. London Math. Soc. (2) 2 (1970), 577-580.
  13. On the zeros of a class of Dirichlet series, II, Illinois J. Math. 14 (1970), 678-691.
  14. On the average order of ideal functions and other arithmetical functions, Bull. Amer. Math. Soc. 76 (1970), 1270-1274.
  15. The number of zeros of the Dedekind zeta-function on the critical line, J. Number Theory 3 (1971), 1-6.
  16. On the average order of a class of arithmetical functions, I, J. Number Theory 3 (1971), 184-203.
  17. On the average order of a class of arithmetical functions, II, J. Number Theory 3 (1971), 288-305.
  18. The functional equation of some Dirichlet series, Proc. Amer. Math. Soc. 29 (1971), 457-460.
  19. Identities involving the coefficients of a class of Dirichlet series. V, Trans. Amer. Math. Soc. 160 (1971), 139-156.
  20. Identities involving the coefficients of a class of Dirichlet series. VI, Trans. Amer. Math. Soc. 160 (1971), 157-167.
  21. The Voronoi summation formula, Proceedings of a Conference on the Theory of Arithmetic Functions, Kalamazoo, April, 1971, Springer Verlag, Berlin, 1972, pp. 21-36.
  22. On the Hurwitz zeta-function, Rocky Mountain J. Math. 2 (1972), 151-157.
  23. The functional equation of some Dirichlet series, II, Proc. Amer. Math. Soc. 31 (1972), 24-26.
  24. Two new proofs of Lerch's functional equation, Proc. Amer. Math. Soc. 32 (1972), 403-408.
  25. The evaluation of character series by contour integration, Publ. Elektro. Fak. Univ. u Beogradu No. 386 (1972), 25-29.
  26. A new proof of the functional equation of Dirichlet L-functions, Proc. Amer. Math. Soc. 37 (1973), 355-357.
  27. An elementary proof of some character sum identities of Apostol, Glasgow Math. J. 14 (1973), 50-53.
  28. On Gaussian sums and other exponential sums with periodic coefficients, Duke Math. J. 49 (1973), 145-156.
  29. Generalized Dedekind eta-functions and generalized Dedekind sums, Trans. Amer. Math. Soc. 178 (1973), 495-508.
  30. Character transformation formulae similar to those for the Dedekind eta-function, Analytic Number Theory, Proc. Sym. Pure Math., No. 24, Amer. Math. Soc., Providence, 1973, pp. 9-30.
  31. The evaluation of infinite series by contour integration, Publ. Elektro. Fak. Univ. Beogradu, no. 435 (1973), 119-122.
  32. A new method in arithmetical functions and contour integration, Canad. Math. Bull. 16 (1973), 381-387.
  33. A new proof of the reciprocity theorem for Dedekind sums, Elem. der Math. 29 (1974), 93-94.
  34. Ramanujan's formula for zeta(2n+1), Professor Srinivasa Ramanujan Commemoration Volume, Jupiter Press, Madras, 1974, pp.1-7.
  35. Zero sums of the Legendre symbol (with S. Chowla), Nordisk Mat. Tidskr. 22 (1974), 5-8.
  36. Least positive residues and the law of quadratic reciprocity (with Ronald J. Evans), Delta 4 (1974), 65-69.
  37. Identities involving the coefficients of a class of Dirichlet series. VII, Trans. Amer. Math. Soc. 201 (1975), 247-261.
  38. A generalization of a theorem of Gauss on sums involving [x], Amer. Math. Monthly 82 (1975), 44-51.
  39. Generalized Eisenstein series and modified Dedekind sums, J. Reine Angew. Math. 272 (1975), 182-193.
  40. Elementary evaluation of zeta(2n), Math. Mag. 48 (1975), 148-154.
  41. Periodic Bernoulli numbers, summation formulas, and applications, Theory and Application of Special Functions, Academic Press, New York, 1975, pp. 143-189.
  42. Periodic analogues of the Euler-Maclaurin and Poisson summation formulas with applications to number theory (with Lowell Schoenfeld), Acta Arith. 28 (1975), 23-68.
  43. Character analogues of the Poisson and Euler-Maclaurin summation formulas with applications, J. Number Thy. 7 (1975), 413-445.
  44. On Eisenstein series with characters and the values of Dirichlet L-functions, Acta Arithmetica 28 (1975), 299-320.
  45. The evaluation of certain classes of non-absolutely convergent double series, SIAM J. Math Anal. 6 (1975), 966-977.
  46. Dedekind sums and a paper of G. H. Hardy, J. London Math. Soc. (2) 13 (1976), 129-137.
  47. Classical theorems on quadratic residues, L' Enseignement Math. 22 (1976), 261-304.
  48. Reciprocity theorems for Dedekind sums and generalizations, Advances in Math. 23 (1977), 285-316.
  49. Modular transformations and generalizations of several formulae of Ramanujan, Rocky Mountain J. Math 7 (1977), 147-189.
  50. The reckoning of certain quartic and octic Gauss sums (with S. Chowla), Glasgow Math. J. 18 (1977), 153-155.
  51. A new class of Bessel function integrals (with M. L. Glasser), Aequa. Math. 16 (1977), 183-186.
  52. Dedekind sums and class numbers (with Ronald J. Evans), Monats. Math. 84 (1977), 265-273.
  53. Ramanujan's notebooks, Math. Mag. 51 (1978), 147-164.
  54. Analytic Eisenstein series, theta-functions, and series relations in the spirit of Ramanujan, J. Reine Angew. Math. 304 (1978), 332-365.
  55. Sums of Gauss, Jacobi, and Jacobsthal (with R. J. Evans), J. Number Theory 11 (1979), 349-398.
  56. Sums of Gauss, Eisenstein, Jacobi, Jacobsthal, and Brewer (with Ronald J. Evans), Illinois J. Math. 23 (1979), 374-437.
  57. Half Gauss sums (with R. J. Evans), Math. Ann. 249 (1980), 115-125.
  58. Chapter 14 of Ramanujan's second notebook, Enseign. Math. 26 (1980), 1-65.
  59. Chapter 2 of Ramanujan's second notebook (with P. T. Joshi and B. M. Wilson), Glasgow Math. J. 22 (1981), 199-216.
  60. The determination of Gauss sums (with R. J. Evans), Bull. Amer. Math. Soc. (new series) 5 (1981), 107-129.
  61. Chapter 4 of Ramanujan's second notebook (with B. M. Wilson), Proc. Royal Soc. Edinburgh (A) 89 (1981), 87-109.
  62. Chapter 5 of Ramanujan's second notebook (with B. M. Wilson), Analytic Number Theory, Lecture Notes in Mathematics No. 899, M. I. Knopp, editor, Springer-Verlag, Berlin, 1981, pp. 49-78.
  63. Sums involving the greatest integer function and Riemann-Stieltjes integration (with U. Dieter), J. Reine Angew. Math. 337 (1982), 208-220.
  64. An arithmetic Poisson formula, Pacific J. Math. 103 (1982), 295-299.
  65. Chapter 8 of Ramanujan's second notebook, J. Reine Angew. Math 338 (1983), 1-55.
  66. Chapter 11 of Ramanujan's second notebook, Bull. London Math. Soc. 15 (1983), 273-320.
  67. Chapter 9 of Ramanujan's second notebook (with P. T. Joshi), vol. 23, Contemporary Mathematics, Amer. Math. Soc., Providence, 1983.
  68. Chapter 3 of Ramanujan's second notebook (with R. J. Evans), Advances in Math. 49 (1983), 123-169.
  69. Chapter 6 of Ramanujan's second notebook, Resultate der Math. 6 (1983), 7-26.
  70. The quarterly reports of S. Ramanujan, Amer. Math. Monthly 90 (1983), 505-516.
  71. Chapter 7 of Ramanujan's second notebook (with R. J. Evans), Math. Proc. Indian Acad. Sci. 92 (1983), 67-96.
  72. Analytic properties of arithmetic sums arising in the theory of the classical theta-functions (with L. A. Goldberg), SIAM J. Math. Anal. 15 (1984), 143-150.
  73. Ramanujan's quarterly reports, Bull. London Math. Soc. 16 (1984), 449-489.
  74. Chapter 13 of Ramanujan's second notebook: Integrals and asymptotic expansions (with R. J. Evans), Expositiones Math. 2 (1984), 289-347.
  75. The gamma function and the Hurwitz zeta-function, Amer. Math. Monthly 92 (1985), 126-130.
  76. Chapter 16 of Ramanujan's second notebook: Theta-functions and q-series (with C. Adiga, S. Bhargava, and G. N. Watson), Memoir No. 315, American Mathematical Society, Providence, 1985.
  77. Chapter 10 of Ramanujan's second notebook, J. Indian Math. Soc. 46 (1982), 31-76 (published in 1985).
  78. Chapter 12 of Ramanujan's second notebook: Continued fractions (with R. L. Lamphere and B. M. Wilson), Rocky Mountain J. Math. 15 (1985), 235-310.
  79. Extensions of asymptotic expansions from Chapter 15 of Ramanujan's second notebook (with R. J. Evans), J. Reine Angew. Math. 361 (1985), 118-134.
  80. Remarks on some of Ramanujan's number theoretical discoveries found in his second notebook, Number Theory, Proc. of the 4th Matscience Conf., Ootacamund, Lecture Notes in Math. No. 1122, K. Alladi, ed., Springer-Verlag, Berlin, 1985, pp. 47-55.
  81. A Pilgrimage, Math. Intell. 8 (1986), 25-30.
  82. Chapter 15 of Ramanujan's second notebook: part 2, modular forms (with R. J. Evans), Acta Arith. 47 (1986), 123-142.
  83. Ramanujan's "mixed" modular equations (with A. J. Biagioli and J. M. Purtilo), J. Ramanujan Math. Soc. 1 (1986), 46-70.
  84. Ramanujan's modular equations of "large" prime degree (with A. J. Biagioli and J. M. Purtilo), J. Indian Math. Soc. 51 (1987), 75-110.
  85. Ramanujan's modular equations of degrees 7 and 11 (with A. J. Biagioli and J. M. Purtilo), Indian J. Math. 29 (1987), 215-228.
  86. The notebooks of Srinivasa Ramanujan, Srinivasa Ramanujan (1887-1920), Macmillan India Ltd., Madras, 1988, pp. 42-51.
  87. Ramanujan's modular equations, Ramanujan Revisited, Academic Press, Boston, 1988, pp. 313-333.
  88. Ramanujan-100 years old (fashioned) or 100 years new (fangled)?, Math. Intell. 10 (no. 3) (1988), 24-29.
  89. Gauss, Landen, Ramanujan, the arithmetic-geometric mean, ellipses, \pi, and the Ladies Diary (with G. Almkvist), Amer. Math. Monthly 95 (1988), 585-608.
  90. Introduction to Ramanujan's modular equations, Proceedings of the Ramanujan Centennial International Conference, 15-18 December 1987, Annamalainagar, The Ramanujan Mathematical Society, Madras, 1988, pp. 15-20.
  91. Srinivasa Ramanujan, The American Scholar 58 (1989), 234-244.
  92. Variations on the Rogers-Ramanujan continued fraction in Ramanujan's notebooks (with G. E. Andrews, L. Jacobsen, and R. L. Lamphere), Number Theory, Madras 1987, Lecture Notes in Math. No. 1395, K. Alladi, ed., Springer-Verlag, Berlin, 1989, pp. 73-83.
  93. Ramanujan and the theory of prime numbers, Number Theory, Madras 1987, Lecture Notes in Math. No. 1395, K. Alladi, ed., Springer-Verlag, Berlin, 1989, pp. 122-139.
  94. Ramanujan's formulas for Eisenstein series, Number Theory and Related Topics: Papers presented at the Ramanujan Colloquium, Bombay, 1988, Oxford University Press, Bombay, 1989, pp. 23-29.
  95. An integral functional equation of Ramanujan related to the dilogarithm (with R. J. Evans), Number Theory, Proc. First Conf. of the Canadian Number Theory Association, Banff, R. A. Mollin, ed., Walter de Gruyter, Berlin, 1990, pp. 1-5.
  96. Some asymptotic formulas for q-series found in Ramanujan's third notebook and ``lost notebook," Indian J. Math. 32 (1990), 179-185.
  97. Ramanujan's inversion formulas for the lemniscate and allied functions (with S. Bhargava), J. Math. Anal. Applics. 160 (1991), 504-524.
  98. Some elegant approximations and asymptotic formulas of Ramanujan (with R. J. Evans), J. Comp. and Appl. Math. 37 (1991), 35-41.
  99. Ramanujan's identities for eta-functions (with L.-C. Zhang), Math. Ann. 292 (1992), 561-573.
  100. Hans Rademacher, 1892-1969, Acta Arith. 61 (1992), 209-231; The Legacy of Hans Rademacher, Contemp. Math. No. 166, G. E. Andrews, D. M Bressoud, and A. L. Parson, eds., Amer. Math. Soc., Providence, 1994, pp. xiii-xxxvi.
  101. Asymptotic expansion of a series of Ramanujan (with R. J. Evans), Proc. Edinburgh Math. Soc. 35 (1992), 189-199.
  102. The continued fractions found in the unorganized portions of Ramanujan's notebooks (with G. E. Andrews, L. Jacobsen, and R. L. Lamphere), Memoir No. 477, American Mathematical Society 99 (1992), 71 pages.
  103. A remarkable identity found in Ramanujan's third notebook (with S. Bhargava), Glasgow Math. J. 34 (1992), 341-345.
  104. On a certain theta-function in a letter of Ramanujan from Fitzroy House, Ganita 43 (1992), 33-43.
  105. A theorem of Ramanujan on certain alternating series (with J. L. Hafner), A Tribute to Emil Grosswald: Number Theory and Related Analysis, M. Knopp and M. Sheingorn, editors, Contemp. Math. No. 143, Amer. Math. Soc., Providence, 1993, pp. 47-57.
  106. Ramanujan's theory of theta-functions, in Theta Functions from the Classical to the Modern, M. Ram Murty, editor, CRM Proceedings and Lecture Notes, vol. 1, Amer. Math. Soc., Providence, 1993, pp. 1-63.
  107. Ramanujan --- for lowbrows (with S. Bhargava), Amer. Math. Monthly 100 (1993), 644-656.
  108. Two remarkable doubly exponential series transformations of Ramanujan (with J. L. Hafner), Proc. Indian Acad. Sci. (Math. Sci.) 104 (1994), 245-252.
  109. On Rademacher's multiplier system for the classical theta-function (with R. J. Evans), The Legacy of Hans Rademacher, Contemp. Math. No. 166, G. E. Andrews, D. M. Bressoud, and A. L. Parson, eds., Amer. Math. Soc., Providence, 1994, pp. 1-7.
  110. A new class of theta-function identities originating in Ramanujan's notebooks (with L.-C. Zhang), J. Number Theory 48 (1994), 224-242.
  111. Five formulas of Ramanujan arising from Eisenstein series (with P. Bialek), Number Theory, K. Dilcher, ed., CMS Conf. Proc., vol. 15, Amer. Math. Soc., Providence, 1995, pp. 67-86.
  112. Some values for the Rogers--Ramanujan continued fraction (with H. H. Chan), Canad. J. Math., 47(1995), 897-914.
  113. Ramanujan's class invariants and cubic continued fraction (with H. H. Chan and L.-C. Zhang), Acta Arith., 73 (1995), 67-85.
  114. Ramanujan's theories of elliptic functions to alternative bases (with S. Bhargava and F. G. Garvan), Trans. Amer. Math. Soc. 347 (1995), 4163-4244.
  115. Ramanujan's explicit values for the classical theta-function (with H. H. Chan), Mathematika, 42 (1995), 278-294.
  116. Ramanujan's explicit values for the Rogers-Ramanujan continued fraction (with H. H. Chan and L.-C. Zhang), J. Reine Angew. Math. 480 (1996), 141-159.
  117. Ramanujan's singular moduli (with H.H. Chan and L.-C. Zhang), The Ramanujan Journal 1(1997), 53-74.
  118. Ramanujan's class invariants with applications to the vaules of q-continued fractions and theta functions (with H. H. Chan and L.-C. Zhang), in Special Functions, q-Series, and Related Topics, M. Ismail, D. Masson, and M. Rahman, eds., Fields Institute Communication Series, Vol. 14, American Mathematical Society, Providence, RI, 1997, pp. 37-53, (ps).
  119. Ramanujan's class invariants, Kronecker's limit formula, and modular equations (with H. H. Chan and L.-C. Zhang), Trans. Amer. Math. Soc. 349 (1997), 2125-2173.
  120. Ramanujan's remarkable product of theta-functions (with H. H. Chan and L.-C. Zhang), Proc. Edinburgh Math. Soc. 40(1997), 583-612.
  121. Ramanujan's association with radicals in India (with H. H. Chan and L.-C. Zhang), Amer. Math. Monthly 104 (1997), 913-919, (ps).
  122. An overview of Ramanujan's notebooks, in Charlemagne and His Heritage: 1200 Years of Civilization and Science in Europe, Volume 2: Mathematical Arts, P. L. Butzer, H. Th. Jongen, and W. Oberschelp, editors, Brepols, Turnhout, 1998, pp. 119-146, (ps).
  123. The remaining 40% of Ramanujan's lost notebook, in Number Theory and its Applications, Surikaisekikenkyuusho Kokyuuroku, No. 1060, RIMS Kyoto University, Kyoto, 1998, pp. 111-118, (Unrefereed Paper) (ps).
  124. Radicals and units in Ramanujan's work (with H. H. Chan and L.-C. Zhang), Acta Arith. 87 (1998), 145-158, (ps).
  125. Notes on Ramanujan's singular moduli, (with H. H. Chan) in Number Theory, Fifth Conference of the Canadian Number Theory Association, R. Gupta and K. S. Williams, eds., Amer. Math. Soc., Providence, RI, 1999, 7-16.
  126. Ramanujan's unpublished manuscript on the partition and tau functions with proofs and commentary (with K. Ono), Sem. Lotharingien de Combinatoire 42 (1999), 63 pp.; in The Andrews Festschrift, D. Foata and G.-N. Han, eds., Springer-Verlag, Berlin, 2001, pp. 39-110, (ps).
  127. The Rogers-Ramanujan continued fraction (with H. H. Chan, S.-S. Huang, S.-Y. Kang, J. Sohn, and S. H. Son), J. Comput. Appl. Math. 105 (1999), 9-24, (ps).
  128. The problems submitted by Ramanujan to the Journal of the Indian Mathematical Society (with Y.-S. Choi and S.-Y. Kang), in Continued Fractions: From Analytic Number Theory to Constructive Approximation, (B. C. Berndt and F. Gesztesy, eds.), Contem. Math. 236, American Mathematical Society, Providence, RI, 1999, pp. 15-56.
  129. Fragments by Ramanujan on Lambert series, in Number Theory and Its Applications, K. Gyory and S. Kanemitsu, eds., Kluwer, Dordrecht, 1999, pp. 35-49, (ps).
  130. Ramanujan and the modular j-invariant (with H. H. Chan), Canad. Math. Bull. 42 (1999), 427-440, (ps).
  131. Modular equations in Ramanujan's lost notebook, in Number Theory, R. P. Bambah, V. C. Dumir, and R. Hans-Gill, eds., Hindustan Book Co., Delhi, 1999, pp. 55-74, (ps).
  132. The Brocard--Ramanujan diophantine equation n! + 1 = m^2 (with W. Galway), The Ramanujan J. 4 (2000), 41-42, (ps).
  133. Eisenstein series in Ramanujan's lost notebook (with H. H. Chan, J. Sohn, and S. H. Son), The Ramanujan J. 4 (2000), 81-114, (ps).
  134. Some theorems on the Rogers-Ramanujan continued fraction in Ramanujan's lost notebook (with S.-S. Huang, J. Sohn, and S. H. Son), Trans. Amer. Math. Soc. 352 (2000), 2157--2177, (ps).
  135. Incomplete elliptic integrals in Ramanujan's lost notebook (with H. H. Chan and S.-S. Huang), in q-series from a Contemporary Perspective, M. E. H. Ismail and D. Stanton, eds., American Mathematical Society, Providence, RI, 2000, pp. 79-126, (ps).
  136. The books studied by Ramanujan in India (with R. A. Rankin), Amer. Math. Monthly 107 (2000), 595-601.
  137. Ramanujan's short unpublished manuscript on integrals and series related to Euler's constant (with D. C. Bowman), in Constructive, Experimental and Nonlinear Analysis, M. Thera, ed., American Mathematical Society, Providence, RI, 2000, pp. 19-27.
  138. On Ramanujan's quartic theory of elliptic functions (with H. H. Chan and W.-C. Liaw), J. Number Thy. 88 (2001), 129-156, (ps).
  139. Eisenstein series and approximations to pi (with H. H. Chan), Illinois J. Math. 45 (2001), 75-90, (ps).
  140. Flowers which we cannot yet see growing in Ramanujan's garden of hypergeometric series, elliptic functions, and q's, in Special Functions 2000: Current Perspective and Future Directions (J. Bustoz, M. E. H. Ismail, and S. K. Suslov, eds.), Kluwer, Dordrecht, 2001, pp. 61-85, (ps).
  141. On the transformation formula for the Dedekind eta-function (with K. Venkatachaliengar), Symbolic Computation, Number Theory, Special Functions, Physics and Combinatorics, F. G. Garvan and M. E. H. Ismail, eds., Kluwer, Dordrecht, 2001, pp. 73-77, (ps).
  142. Formulas of Ramanujan for the power series coefficients of certain quotients of Eisenstein series (with P. R. Bialek and A. J. Yee), International Mathematics Research Notices 21 (2002), 1077-1109, (ps).
  143. A certain quotient of eta-functions found in Ramanujan's lost notebook (with H. H. Chan, S.-Y. Kang, and L.-C. Zhang), Pacific J. Math. 202 (2002), 267-304, (ps).
  144. Asymptotic formulas for two continued fractions in Ramanujan's lost notebook (with J. Sohn), J. London Math. Soc. (2) 65 (2002), 271-284, (ps).
  145. The influence of Carr's Synopsis on Ramanujan, in Number Theory and Discrete Mathematics (A. K. Agarwal, B. C. Berndt, C. F. Krattenthaler, G. L. Mullen, K. Ramachandra, and W. Waldschmidt, eds.), Hindustan Book Agency, New Delhi, 2002, pp. 31-35.
  146. The problems solved by Ramanujan in the Journal of the Indian Mathematical Society, in Number Theory and Discrete Mathematics (A. K. Agarwal, B. C. Berndt, C. F. Krattenthaler, G. L. Mullen, K. Ramachandra, and W. Waldschmidt, eds.), Hindustan Book Agency, New Delhi, 2002, pp. 189-200.
  147. Congruences for the coefficients of quotients of Eisenstein series (with A. J. Yee), Acta Arith. 104 (2002), 297-308, (ps).
  148. Integrals of Eisenstein series and derivatives of L-functions, (with S. Ahlgren, A. J. Yee, and A. Zaharescu), International Mathematics Research Notices 2002, No. 32, 1723-1738, (ps).
  149. A multi-variable theta product (with A.Zaharescu), Indag. Math. N. S. 13 (2002), 11-22, (ps).
  150. An integral of Dedekind eta-functions in Ramanujan's lost notebook (with A. Zaharescu), J. Reine Angew. Math. 551 (2002), 33-39, (ps).
  151. Explicit evaluations and reciprocity theorems for finite trigonometric sums (with B. P. Yeap), Advances in Appl. Math., Adv. In Appl. Math. 29 (2002), 358-385, (ps).
  152. Commentary on an unpublished lecture by G. N. Watson on solving the quintic (with B. K. Spearman and K. S. Williams), Math. Intell. 24, No. 4 (2002), 15-33, (ps).
  153. Ramanujan's contributions to Eisenstein series, especially in his lost notebook (with A. J. Yee), in Number Theoretic Methods - Future Trends, C. Jia and S. Kanemitsu, eds., Kluwer, Dordrecht, 2002, pp. 31-53; abridged version, A survey on Eisenstein series in Ramanujan's lost notebook (with A. J. Yee), in New Aspects of Analytic Number Theory, Y. Tanigawa, ed., Research Institute for Mathematical Sciences, Kyoto University, Kyoto, 2002, pp. 130--141, (ps).
  154. On Ramanujan's continued fraction for  (q²; q³)_inf/(q;q³)_inf (with G. E. Andrews, J. Sohn, A. J. Yee, and A. Zaharescu), Trans. Amer. Math. Soc. 355 (2003), 2397-2411, (ps).
  155. A page on Eisenstein series in Ramanujan's lost notebook (with A. J. Yee), Glasgow Math. J. 45 (2003), 123-129 (ps).
  156. On the parity of partition functions (with A. J. Yee and A. Zaharescu), Internat. J. Math. 14 (2003), 437-459.
  157. A quasi-theta product in Ramanujan's lost notebook (with H. H. Chan and A. Zaharescu), Math. Proc. Cambridge Philos. Soc. 135 (2003), 11-18 (ps).
  158. Theorems on partitions from a page in Ramanujan's lost notebook (with A. J. Yee and J. Yi), J. Compo Appl. Math. 160 (2003), 53-68 (ps).
  159. The life and work of R. A. Rankin (1915-2001) (with W. Kohnen and K. Ono), Ramanujan J. 7 (2003), 9-38 (ps).
       a. Articles of Rankin, (ps).
       b. Books of Rankin, (ps).
       c. Booksedited of Rankin, (ps).
       d. Obituary and Biographical Notices of Rankin, (ps).
       e. Other Writings of Rankin, (ps).
       
  160. On the generalized Rogers-Ramanujan continued fraction (with A. J. Yee), Ramanujan J. 7 (2003), 321-331 (ps).
  161. Combinatorial proofs of identities in Ramanujan's lost notebook associated with the Rogers-Fine identity and false theta functions (with A. J. Yee), Annals of Combinatorics, 7 (2003), 409-423, (ps).
  162. A new identity for (q; q)10/inf with an application to Ramanujan's partition congruence modulo 11 (with S. H. Chan, Z.-G. Liu, and H. Yesilyurt), Quart. J. Math. (Oxford) 55 (2004), 13-30 (ps).
  163. Two exams taken by Ramanujan in India (with C. A. Reddi), Amer. Math. Monthly 111 (2004), 330-339 (ps).
  164. New theorems on the parity of partition functions (with A. J. Yee and A. Zaharescu), J. Reine Angew. Math. 566 (2004), 91-109.
  165. An unpublished manuscript of Ramanujan on infinite series identities, J. Ramanujan Math. Soc. 19 (2004), 57-74 (ps).
  166. Some integrals in Ramanujan's lost notebook, Proc. Amer. Math. Soc. 132 (2004), 2983-2988 (ps).
  167. Finite trigonometric sums and class numbers (with A. Zaharescu), Math. Ann. 330 (2004), 551-575 (ps).
  168. q-Gauss summation via Ramanujan and combinatorics (with A. J. Yee), South East Asian J. Math. and Math. Sci. 3 (2004), 15-22 (ps).
  169. Cranks and dissections in Ramanujan's lost notebook (with H. H. Chan, S. H. Chan, and W.{C. Liaw), J. Combin. Thy. (A) 109 (2005), 91-120 (ps).
  170. Ramanujan and cranks (with H. H. Chan, S. H. Chan, and W.C. Liaw), in Theory and Applications of Special Functions. A Volume Dedicated to Mizan Rahman, M. E. H. Ismail and E. Koelink, eds., Springer, Dordrecht, 2005, pp. 77-98. (ps).
  171. Continued fractions with three limit points (with G. E. Andrews, J. Sohn, A. J. Yee, and A. Zaharescu), Adv. in Math. 192 (2005), 231-258 (ps).
  172. A continued fraction from Ramanujan's lost notebook (with G. Choi), Aequa. Math. 69 (2005), 257-262 (ps).
  173. Determinations of analogues of Gauss sums and other trigonometric sums (with M. Beck, O.-Y. Chan, and A. Zaharescu), Internat. J. Number Thy. 1 (2005), 333-356 (pdf).
  174. On the power series coefficients of certain quotients of Eisenstein series (with P. R. Bialek), Trans. Amer. Math. Soc. 357 (2005), 4379-4412 (ps).
  175. New identities for the Rogers{Ramanujan functions, (with H. Yesilyurt), Acta Arith. 120 (2005), 395-413 (pdf).
  176. Weighted divisor sums and Bessel function series (with A. Zaharescu), Math. Ann. 335 (2006), 249-283 (pdf).
  177. A reciprocity theorem for certain q-series found in Ramanujan's lost notebook (with S. H. Chan, B. P. Yeap, and A. J. Yee), Ramanujan J., to appear (ps).
  178. Ramanujan's congruences for the partition function modulo 5, 7, and 11, submitted for publication (ps).
  179. Ramanujan's forty identities for the Rogers-Ramanujan functions (with G. Choi, Y.-S. Choi, H. Hahn, B. P. Yeap, A. J. Yee, H. Yesilyurt, and J. Yi), Memoirs, Amer. Math. Soc., to appear (pdf).
  180. Two entries on bilateral hypergeometric series in Ramanujan's lost notebook (with Wenchang Chu), Proc. Amer. Math. Soc., to appear (pdf).
  181. An identity for the Dedekind eta-function involving two independent complex variables (With W. B. Hart), Bull. London Math. Soc., to appear (pdf).
  182. Partition-Theoretic Interpretations of Certain Modular Equations of Schroter, Russell and Ramanujan, Annals of Combinatorics, to appear (pdf).
  183. Partition identities and Ramanujan's modular equations (with N. D. Baruah), submitted for publication (pdf).
  184. Partition identities arising from theta function identities (with N. D. Baruah), submitted for publication (pdf).
  185. Solving Ramanujan's differential relations for Eisenstein series via a first order Riccati equation (with J. M. Hill and T. Huber), submitted for publication(pdf).
  
  

  Top of file
  

  

• Books:
  
  1. Ramanujan's Notebooks, Part I, Springer-Verlag, New York, 1985 (Errata), (ps).
  2. Ramanujan's Notebooks, Part II, Springer-Verlag, New York, 1989 (Errata), (ps).
  3. Ramanujan's Notebooks, Part III, Springer-Verlag, New York, 1991 (Errata), (ps).
  4. Ramanujan's Notebooks, Part IV, Springer-Verlag, New York, 1994 (Errata), (ps).
  5. Ramanujan's Notebooks, Part V, Springer-Verlag, New York, 1998 (Errata).
  6. Ramanujan: Letters and Commentary (with R.A. Rankin), American and London Mathematical Societies, Providence, 1995; jointly published by the London Mathematical Society, London, 1995; published in India by Affiliated East West, New Delhi, 1997; the book has also been translated into Japanese and published by Springer-Verlag, Tokyo, 2001.
  7. Gauss and Jacobi Sums (with R.J. Evans and K.S. Williams), John Wiley, New York, 1998 (Errata) (ps).
  8. Ramanujan: Essays and Surveys (with R. A. Rankin), American Mathematical Society, Providence, RI, 2001; jointly published by the London Mathematical Society, London, 2001.
  9. Ramanujan's Lost Notebook, Part I (with G.E. Andrews), Springer, New York (2005).
  10. Number Theory in the Spirit of Ramanujan, American Mathematical Society, Providence, RI 2006.
  
  
• Books Edited:
  
  1. Ramanujan Revisited (with G.E. Andrews, R.A. Askey, K.G. Ramanathan, and R.A. Rankin), Academic Press, Boston, 1988
  2. Analytic Number Theory: Proceedings of Conference in honor of Paul T. Bateman (with H.G. Diamond, H. Halberstam, and A. Hilderbrand), Birkhauser, Boston, 1990
  3. Analytic Number Theory: Proceedings of Conference in honor of Heini Halberstam (2 volumes) (with H.G. Diamond and A. Hilderbrand), Birkhauser, Boston, 1996
  4. Continued Fractions: From Analytic Number Theory to Constructive Approximation (with F. Gesztesy), American Mathematical Society, Providence, RI, 1999.
  5. Ramanujan, by G. H. Hardy, American Mathematical Society, Providence, RI, 1999.
  6. Collected Papers, by S. Ramanujan, American Mathematical Society, Providence, RI, 2000.
  7. q-Series, with Applications to Combinatorics, Number Theory, and Physics (with K. Ono), Contemp. Math., American Mathematical Society, Providence, RI, 2001.
  8. Number Theory and Discrete Mathematics (with A. K. Agarwal, C. F. Krattenthaler, G. L. Mullen, K. Ramachandra, and M. Waldschmidt), Hindustan Book Agency, Delhi, 2002.
  9. Number Theory for the Millennium (3 volumes) (with M. A. Bennett, N. Boston, H. D. Diamond, A. J. Hildebrand, and W. Philipp), A K Peters, Natick, MA, 2002.
  10. Surveys in Number Theory (with M. A. Bennett, N. Boston, H. D. Diamond, A. J. Hildebrand, and W. Philipp), A K Peters, Natick, MA, 2003.
  11. Number Theory and Modular Forms: Papers in Memory of Robert A. Rankin (with K. Ono), Kluwer, Dordrecht, 2003.

Top of file
updated 8/23/06