My photo

Atul Dixit

Department of Mathematics
University of Illinois at Urbana-Champaign
1409 W. Green Street, Urbana, Illinois 61801.

Contact

Office: B4 A Coble Hall
Phone: (217)-244-1967
Email: aadixit2[at]illinois.edu

Biographical Information

Research Interests I am primarily interested in Analytic number theory, q-series and Special functions. I like to work in the areas of Mathematics developed by Srinivasa Ramanujan. This is my fourth year of PhD. My thesis advisor is Prof. Bruce C. Berndt.

Publications

  1. Orthopoles and the Pappus Theorem (with D. Grinberg), Forum Geometricorum, 4, (2004), 53-59, (pdf).
  2. Monotonicity of quotients of theta functions related to an extremal problem on harmonic measure (with A. Yu. Solynin) J. Math. Anal. Appl., 336, No. 2, (2007), 1042-1053.
  3. The Laplace transform of the psi function, Proc. Amer. Math. Soc., 138, No. 2, (2010), 593-603.
  4. A transformation formula involving the Gamma and Riemann zeta functions in Ramanujan's Lost Notebook (with B. C. Berndt), to appear in The Legacy of Alladi Ramakrishnan: Mathematics and Physics, Springer, New York (2010), (pdf).
  5. Character analogues of theorems of Ramanujan, Koshliakov and Guinand (with B. C. Berndt and J. Sohn), accepted for publication in Advances in Applied Mathematics.
  6. Analogues of a transformation formula of Ramanujan, submitted for publication, (pdf).
  7. Series transformations and integrals involving the Riemann Xi function, submitted for publication.

Conference talks

  1. Monotonicity of Quotients of Theta Functions, Midwest Number Theory Conference for Graduate Students IV, University of Illinois at Urbana- Champaign, October 28-29, 2006.
  2. Generalizing Theorems of Ramanujan, Koshliakov and Guinand for even, periodic and completely multiplicative sequences, Illinois Number Theory Fest, Conference in the honor of 80th Birthday celebration of Heini Halberstam and John Selfridge, University of Illinois at Urbana-Champaign, May 16-20, 2007.
  3. Character Analogues of formulas of Ramanujan, Koshliakov and Guinand, Midwest Number Theory Conference for Graduate Students V, University of Wisconsin at Madison, November 3-4, 2007.
  4. A transformation formula involving the Gamma and Riemann zeta functions in Ramanujan’s Lost Notebook, Combinatory Analysis 2008, Conference in the honor of George E. Andrews’ 70th birthday, Penn State University, December 5-7, 2008.
  5. Analogues of a transformation formula of Ramanujan, Quadratic Forms, Sums of Squares, Theta Functions and Integral Lattices conference, University of Florida at Gainesville, March 11-15, 2009.
  6. Transformation formulas associated with integrals involving the Riemann $\Xi$ function, 2009 AMS Fall Central Sectional Meeting, Special Session on contemporary Complex and Special Function Theory, Baylor University, October 16-18, 2009.
  7. Transformation formulas associated with integrals involving the Riemann $\Xi$ function, Midwest Number Theory Conference for Graduate Students VI, University of Wisconsin at Madison, November 7-8, 2009.

Expository Papers

  1. Fermatche Shevatche Prameya (in Marathi), English translation: 'Fermat's Last Theorem', December 26, 2004, (pdf).

Teaching

  • This Fall I am teaching Math 241 - Calculus III (Calculus and Mathematica section). My previous teaching assignments were as follows:

    • Links

  • Last updated on November 8, 2009.