2001 Illinois Number Theory Conference and
Workshop on the Interface of Probability and Number Theory

May 18 - 20, 2001

University of Illinois at Urbana-Champaign

Information for Participants

Tentative Schedule of Talks

All talks will be given in Room 314 Altgeld Hall

Friday, 5/18/2001

Morning Session

8:30 - 9:00 REGISTRATION
9:00 - 9:50 Vishwa Dumir, View obstruction problems: a survey
9:50 - 10:20 COFFEE BREAK
10:20 - 10:40 Matthias Beck, On the number of "magic squares"
10:45 - 11:05 Bruce Reznick, Equal sums of higher powers of quadratic forms
11:10 - 11:30 Gennady Bachman, Divisibility properties of certain multinomial coefficients
11:35 - 11:55 Aaron Meyerowitz, When is ((an)! (bn)!)/((cn)! (dn)! (en)!) an integer for all n?

Afternoon Session

1:30 - 2:20 Doug Bowman, Multiple zeta values: a survey
2:30 - 2:50 Jimmy McLaughlin, On the divergence of the Rogers-Ramanujan continued fraction on the unit circle
2:55 - 3:15 Kevin O'Bryant, Beatty sequences and the permutation which orders {alpha}, {2 alpha},...,{n alpha}
3:15 - 3:45 COFFEE BREAK
3:45 - 4:05 Sam Wagstaff, Prime numbers with few zero bits in their binary representation
4:10 - 4:30 Ferrell Wheeler, Computations on Catalan's conjecture
4:35 - 4:55 Jonathan Sorensen, A fast algorithm for approximately counting smooth numbers
5:00 - 5:20 Tanush Shaska, Some computational aspects of genus 2 curves
6:30 BANQUET AT LEVIS FACULTY CENTER



Saturday, 5/19/2001

Morning Session

9:00 - 9:20 R.C. Vaughan, A generalized divisor problem
9:25 - 9:45 Morley Davidson, Cyclotomic reduction properties of Euler's recurrence for p(n)
9:50 - 10:20 COFFEE BREAK
10:20 - 10:40 Adrian Stanger, Identities for powers of partition functions
10:45 - 11:05 Matthew Boylan, Exceptional congruences for coefficients of modular forms
11:10 - 11:30 Rohit Chatterjee, Periodicity for congruences of the partition function modulo M
11:35 - 11:55 Eric Mortenson, The modularity of a specific Calabi-Yau threefold

Afternoon Session

1:30 - 1:50 Carl Pomerance, The expected number of random elements to generate a finite abelian group
1:55 - 2:15 Ken Stolarsky, Parametrized polynomials with diaphanous discriminants
2:20 - 2:40 Yoonjin Lee, Fundamental units in cyclic cubic function fields
2:45 - 3:05 Don Redmond, On the zeros of a class of Dirichlet series
3:05 - 3:35 COFFEE BREAK
3:35 - 3:55 Ae Ja Yee, Formulas of Ramanujan for the power series coefficients of certain quotients of Eisenstein series
4:00 - 4:20 Ibrahim Mostafa, A new approach to formal derivation

Sunday, 5/20/2001

Workshop on the Interface of Probability and Number Theory

9:00 - 9:40 Jean-Marc Deshouillers, From probability theory to additive number theory and backwards
9:50 - 10:30 Richard Arratia, A strong comparison of the prime factorization of a uniformly distributed random integer with a process of independent geometric counts
10:30 - 10:50 COFFEE BREAK
10:50 - 11:30 Alex Zaharescu, Spacing distributions in number theory
11:40 - 12:20 Walter Philipp, Metric theorems for pair correlations and for the distribution measure of random sequences
1:30 - 2:10 R.C. Vaughan, On the distribution of generating functions


Last modified Wed May 16 14:27:21 2001 ajh@uiuc.edu