# Number Theory Seminar

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

Date Speaker Affiliation Title
2016-04-09 Krishnaswami Alladi University of Florida Parity Questions Concerning the Generalized Divisor Function with Restrictions on the Prime Factors
2016-04-02 Krishnaswami Alladi University of Florida The Parity of the Number of Prime Factors Among Integers with Restrictions
2019-03-19 George E. Andrews Pennsylvania State University The Ramanujan-Dyson identities and George Beck’s Congruence Conjectures
2019-02-19 Alexander Lubotzky Hebrew University, Jerusalem Ramanujan Graphs and Error Correcting Codes
2019-02-19 Alexander Lubotzky Hebrew University, Jerusalem From Expander Graphs to High Dimensional Expanders
2019-02-19 George E. Andrews Pennsylvania State University How Ramanujan May Have Thought of the Mock Theta Functions
2019-02-12 Alexander Berkovich University of Florida Polynomial Identities Implying Two Capparelli’s Partition Theorems
2019-02-05 Alexander Berkovich University of Florida Elementary Polynomial Identities Implying Two Capparelli’s Partition Theorems
2019-01-29 Alexander Berkovich University of Florida Remarks on Bressoud’s Positivity Conjecture
2019-01-22 Gaurav Bhatnagar University of Vienna Prime Number Conjectures from the Shapiro Class Structure
2018-04-17 Alexander Berkovich University of Florida Sudler’s Products. Some New Observations
2018-03-20 Thomas Prellberg Queen Mary University of London The Combinatorics of the Leading Root of Ramanujan’s Function
2018-03-13 Thomas Prellberg Queen Mary University of London Higher-order Multi-critical Points in Two-dimensional Lattice Polygon Models
2018-02-27 Thomas Prellberg Queen Mary University of London Basic Hypergeometric Expressions for q-Tangent and q-Secant Numbers
2018-02-20 Krishnaswami Alladi University of Florida Revisiting the Riemann Zeta Function at the Positive Even Integers
2018-02-20 Krishnaswami Alladi University of Florida Revisiting the Riemann Zeta Function at the Positive Even Integers
2018-02-13 Frank Garvan University of Florida Higher Order Mock Theta Conjectures
2018-02-06 George E. Andrews Pennsylvania State University Problems of David Newman
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 E. Andrews Pennsylvania State University 4-Shadows in q-Series, the Kimberling Index, and Garden of Eden Partitions
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 E. 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 E. Andrews Pennsylvania State University Partitions With Early Conditions and Mock Theta Functions
2015-03-17 Ali K. 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 E. 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 E. Andrews Pennsylvania State University Bressoud’s “Easy Proof of the Rogers-Ramanujan Identities” and some unexpected consequences
2014-02-25 George E. Andrews Pennsylvania State University Congruences for the Fishburn Numbers
2014-02-04 Frank Patane University of Florida Essentially Unique Representations by Ternary Quadratic Forms