Number Theory Seminar

The Number Theory Seminar meets on Tuesdays at LIT 368, 3pm – 3:50pm, unless otherwise indicated.

Date Speaker Affiliation Title
2017-10-31 Alexander Berkovich University of Florida \((1-q)(1-q^2)\dots(1-q^n)\) Revisited
2017-10-24 Larry Rolen Trinity College, Dublin Jensen-Pólya Criterion for the Riemann Hypothesis and Related Problems
2017-03-21 Peter Elliott University of Colorado Group of rationals, then and now
2017-03-14 George E. Andrews Pennsylvania State University The combinatorics of the mock theta functions \(\nu(q)\)
2017-02-28 Alexander Berkovich University of Florida Non-Negative Thoughts
2017-02-14 Colin Defant University of Florida Undergraduate Unitary Cayley Graphs
2017-01-31 Ali K. Uncu University of Florida Some new observations on partitions and divisors
2017-01-24 George E. Andrews Pennsylvania State University Topics in Partitions
2017-01-10 Atul Dixit Indian Institute of Technology Gandhinagar Transformation involving \(r_k(n)\) and Bessel Functions
2016-12-01 Frank Garvan University of Florida New Mock Theta Function Identities II
2016-11-10 Frank Garvan University of Florida New Mock Theta Function Identities
2016-10-27 Alexander Berkovich University of Florida Partitions with non-repeating even parts. New Observations.
2016-10-20 Alexander Berkovich University of Florida New weighted partition identities involving partitions with distinct odd parts
2016-10-06 Alexander Berkovich University of Florida New Weighted Partition Identities, the Smallest Part of Partition and all that 3
2016-09-29 Alexander Berkovich University of Florida New Weighted Partition Identities, the Smallest Part of Partition and all that 2
2016-09-22 Alexander Berkovich University of Florida New Weighted Partition Identities, the Smallest Part of Partition and all that
2016-04-12 Michael D. Hirschhorn University of New South Wales Partitions in three colors
2016-04-05 Colin Defant University of Florida Undergraduate Revisiting the Riemann Zeta Function at Positive Even Integers
2016-03-15 Alexander Berkovich University of Florida New weighted partition theorems inspired by the work of Alladi
2016-03-08 Alexander Berkovich University of Florida New weighted partition theorems inspired by the work of Alladi
2016-04-23 George Andrews Pennsylvania State University 4-Shadows in q-Series, the Kimberling Index, and Garden of Eden Partitions
2016-02-16 Krishnaswami Alladi University of Florida On the local distribution of the number of small prime factors
2016-02-09 Krishnaswami Alladi University of Florida The number of prime factors function and integers with restricted prime II
2016-02-02 Krishnaswami Alladi University of Florida The number of prime factors function and integers with restricted prime
2014-02-25 George Andrews Pennsylvania State University Legendre Theorems, Mock theta functions and Overpartitions
2015-12-01 Frank Garvan University of Florida Extending Ramanujan’s Dyson rank function identity to all primes greater than 3
2015-11-10 Colin Defant University of Florida Undergraduate Ranges of Divisor Functions
2015-11-03 Alexander Berkovich University of Florida Combinatorial interpretation of the Berkovich-Warnaar identity
for Rogers-Szego polynomials
2015-10-20 Li-Chien Shen University of Florida On Ramanujan’s identities involving the Eisenstein series and hyper-geometric series
2015-09-01 Alexander Berkovich University of Florida On some partitions with conditions on even/odd indexed odd parts II
2015-08-25 Alexander Berkovich University of Florida On some partitions with conditions on even/odd indexed odd parts
2015-08-21 Thomas Prellberg University of London The Combinatorics of the leading root of Ramanujan’s function
2015-06-05 Tony Shaska Oakland University Integral minimal models for binary forms
2015-04-07 Robert C. Vaughan Pennsylvania State University Zeros of Dirichlet series
2015-04-07 Robert C. Vaughan Pennsylvania State University Goldbach: A modern panorama
2015-03-31 George Andrews Pennsylvania State University Partitions With Early Conditions and Mock Theta Functions
2015-03-17 Ali Kemal Uncu University of Florida A new companion to Capparelli’s identities and the allied inequalities
2014-12-03 Alexander Berkovich University of Florida On a new companion to Capparelli partition theorem
2014-10-21 Olivia Beckwith Emory University Multiplicative properties of the number of k-regular partitions
2014-10-21 Michael Griffin Emory University Theorems at the interface of number theory and representation theory
2014-10-07 Frank Patane University of Florida An identity connecting theta series associated with binary quadratic forms of discriminant Delta and Delta p^2
2014-09-23 Alexander Berkovich University of Florida Some implications of the 1907 Hurwitz formula III
2014-09-16 Alexander Berkovich University of Florida Some implications of the 1907 Hurwitz formula II
2014-09-09 Alexander Berkovich University of Florida Some implications of the 1907 Hurwitz formula
2014-04-22 George Andrews Pennsylvania State University Identities missed by Schur and MacMahon
2014-04-15 Duc Huynh University of Florida Chebotarev Density Theorem – its history and applications
2014-04-08 Christopher Jennings-Shaffer University of Florida Higher Order Overpartition Spt Functions
2014-04-01 Keith Grizzell University of Florida Generalization and refinement of the Berkovich-Garvan partition inequalities
2014-03-18 Peter Paule RISC at Johannes Kepler University Ramanujan’s Congruences Modulo Powers of 5, 7, and 11 Revisited
2014-03-17 Ae Ja Yee Pennsylvania State University The truncated Jacobi triple product theorem
2014-03-11 George Andrews Pennsylvania State University Bressoud’s “Easy Proof of the Rogers-Ramanujan Identities” and some unexpected consequences
2014-02-25 George Andrews Pennsylvania State University Congruences for the Fishburn Numbers
2014-02-04 Frank Patane University of Florida Essentially Unique Representations by Ternary Quadratic Forms

Some Photos of the Number Theory Seminar