Date | Speaker | Title |
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Fall 2019 |
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Dec. 2, 2019 | George Beck | Distinct and Complete Integer Partitions ( Notes, Summary of Definition) |

Nov. 25, 2019 | Heesung Yang | Variant of a theorem of Erd\H{o}s on the sum-of-proper-divisors function ( Slides) |

Nov. 20, 2019 | Abdullah Al-Shaghay | Some Classes of Generalized Cyclotomic Polynomials ( Slides) |

Nov. 4, 2019 | Asmita Sodhi | Integer-Valued Polynomials over $p\times p$ Matrices ( Slides) |

Oct. 28, 2019 | Daniele Turchetti | Lifting automorphisms of power series from characteristic p to characteristic 0 ( Notes) |

Oct. 21, 2019 | Manar Benoumhani | Additive decomposition of polynomials over unique factorization domains ( Slides) |

Oct. 7, 2019 | Keith Johnson | Integer Valued Polynomials and Division Algebras ( Slides) |

Sept. 30, 2019 | Karl Dilcher | Infinite Products Involving Dirichlet Characters and Cyclotomic Polynomials ( Notes+Slides) |

Sept. 23, 2019 | Lin Jiu | Examples on Several Integration Methods ( Notes ) |

Sept. 16, 2019 | Lin Jiu | On b-ary Binomial Coefficients ( Slides ) |

Sept. 11, 2019 | Christophe Vignat | A Probabilistic Approach to Some Elliptic Functions ( Slides ) |

Winter 2019 |
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Apr. 1, 2019 | Mason Maxwell | Irreducibility of Generalized Stern Polynomials ( Slides ) |

Mar. 25, 2019 | Abdullah Al-Shaghay | A Survey of Polynomial Results ( Slides ) |

Mar. 11, 2019 | Karl Dilcher | Some polynomial and geometric Diophantine equations ( Slides ) |

Feb. 25, 2019 | Lin Jiu | Random Walk & Identities ( Slides ) |

Feb. 11, 2019 | Keith Johnson | Rational Polynomials which Preserve the Ring of 2x2 Matrices with Integer Coefficients ( Notes ) |

Feb. 4, 2019 | Anne Johnson | Valuative capacity of some compact subsets of $\mathbb{Z}_p$ ( Slides ) |

Jan. 21, 2019 | Karl Dilcher | Zeros and irreducibility of some classes of special polynomials ( Slides ) |

Jan. 14, 2019 | Lin Jiu | Orthogonal Polynomials for Bernoulli and Euler Polynomials ( Slides ) |

Fall 2018 |
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Nov. 30, 2018 | Karl Dilcher | Fermat's Last Theorem ( Slides ) |

Nov. 23, 2018 | Scott Cameron | A Linear Algebra Problem Related to Legendre Polynomials ( Slides ) |

Nov. 9, 2018 | Anne Johnson | ρ-ordering and Valuative Capacity in Ultrametric Spaces ( Slides ) |

Nov. 2, 2018 | Asmita Sodhi | A Composite Problem ( Slides ) |

Oct. 26, 2018 | Keith Johnson | p-orderings, Fekete n-tuples and capacity in ultra-metric spaces ( Notes ) |

Oct. 19, 2018 | Larry Ericksen | Generalized Stern Polynomials: Their Recursions and Continued Fractions ( Slides ) |

Oct. 5, 2018 | Abdullah Al-Shaghay | Galois Irreducible Polynomials ( Notes ) |

Sept. 28, 2018 | Karl Dilcher | Gauss Factorials, Jacobi Primes, and Generalized Fermat Numbers ( Slides) |

Sept. 21, 2018 | Lin Jiu | Matrix Representations for Multiplicative Nested Sums (Slides) |

Sept. 7, 2018 | Maciej Ulas | p-adic Valuations of Certain Colored Partition Functions (Slides) |

Summer 2018 |
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June 20, 2018 | Scott Cameron | A Linear Algebra Problem Related to Legendre Polynomials (Slides) |

June 6, 2018 | Karl Dilcher | Derivatives and special values of higher-order Tornheim zeta functions (Slides) |

May 30, 2018 | Lin Jiu | Two Sequences Related to Bernoulli and Euler Numbers (Slides) |

May 23, 2018 | Christophe Vignat | Multiple Zeta Values for Classical Special Functions (Slides) |

Winter 2018 |
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Mar. 26, 2018 | Marie-Andrée B.Langlois | Building 3-Variable Homogeneous Integer-valued Polynomials Using Projective Planes (Slides) |

Mar. 19, 2018 | Keith Johnson | Some open problems about Bhargava's p-orderings of finite sets (Reference Paper) |

Mar. 12, 2018 | Michelle Boothillier | Representations of Epitrochoids and Hypotrochoids (Slides) |

Mar. 5, 2018 | Abdullah Al-Shaghay | Irreducibility and Roots of a Class of Polynomials (Slides) |

Feb. 26, 2018 | Lin Jiu | Hidden Walks (Slides) |

Feb. 12 2018 | Asmita Sodhi | Integer-Valued Polynomials on 3×3 Matrices (Slides) |

Feb. 5, 2018 | Karl Dilcher | On the Polynomial Part of A Restricted Partition Function (Slides) |

Jan. 29, 2018 | Marie-Andrée B.Langlois | Introduction to Integer Valued Polynomials (Slides) |

Jan. 22, 2018 | Lin Jiu | Introduction to Zonal Polynomials (Slides) |

Previous Talks Before 2018 |
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Dec. 14, 2017 | Michelle Bouthillier | Implicit Representations of Epitrochoids and Hypotrochoids(Abstract) |

Nov. 23, 2017 | Marie-Andree Langlois | Constructing Bases for Homogenous Three Variable Integer Valued Polynomials(Abstract) |

Oct. 13, 2017 | Lin Jiu | Bernoulli Symbol $\mathcal{B}$: from Umbral Calculus to Random Variable and Combinatorics(Abstract) |

Sept. 15, 2017 | Christophe Vignat | Finite Generating Functions for the Sum of Digits Sequence(Abstract) |

Dec. 08, 2016 | Johannes Schleischitz | Classical Exponents of Diophantine Approximation(Abstract) |

Apr. 13, 2016 | Oleksiy Klurman | Multiplicative Functions Over Function Fields(Abstract) |

Mar. 15, 2016 | Abdullah Al-Shaghay | A look at $\mathbb{Q}_p} as compared to $\mathbb{R}$ (Abstract) |

Oct. 22, 2015 | Abdullah Al-Shaghay | The Nagell-Lutz Theorem (Abstract) |

June 11, 2015 | Matthew Stephen | Stability Results for Sections of Convex Bodies(Abstract) |

June 01, 2015 | Michael Coons | Stern's Sequence, Asymptotics, and Some Consequences(Abstract) |

May 29, 2015 | Tony Vargas | Newman-Rivlin Asymptotics for Partial Sums of Power Series(Abstract) |

Sept. 11, 2014 | J.C. Saunders | Sums of Digits in $q$-ary Expansions(Abstract) |

Sept. 10, 2014 | Paul Voutier | Sharp Height Estimates for Elliptic Curves(Abstract) |

Aug. 21, 2014 | Christophe Vignat | Elementary Non Commutative Algebra and Special Functions(Abstract) |

Apr. 09, 2014 | Karl Dilcher | Zeros and Irreducibility of Polynomials with GCD Powers as Coefficients(Abstract) |

Mar. 19, 2014 | John Cosgrave | Gauss Factorials, Jacobi Primes, and Prime Factors of Generalized Fermat Numbers(Abstract) |

Jan. 29, 2014 | Abdullah Al-Shaghay | The Local-Global Principle: A Brief Introduction to the $p$-adic Numbers(Abstract) |

Apr. 29, 2013 | Matilde Lalin | Mahler Measure and Special Values of L-functions(Abstract) |

Feb. 21, 2013 | Karl Dilcher | Some Number Theoretic Results Due to Euler(Abstract) |

Jan. 24, 2013 | Abdullah Al-Shaghay | The Prime Number Theorem and Dirichlet's Theorem(Abstract) |

Jan. 07, 2013 | Timothy Caley | A New Algorithm for the Prouhet-Tarry-Escott Problem(Abstract) |

Nov. 29, 2012 | Kira Scheibelhut | A Classification of Integer-valued Polynomials Using A Generalized Factorial Function(Abstract) |

Oct. 25, 2012 | John Cosgrave | The multiplicative orders of certain Gauss factorials (again)(Abstract) |

Sept. 27, 2012 | Ram Murty | Automorphy and the Sato-Tate Conjecture(Abstract) |

Mar. 22, 2012 | Tatiana Hessami Pilehrood | Congruences concerning Jacobi polynomials, II(Abstract) |

Mar. 01, 2012 | Tony Vargas | Zeros of Partial Sums of Power Series(Abstract) |

Feb. 02, 2012 | Tatiana Hessami Pilehrood | Congruences Concerning Jacobi Polynomials and Apery-like Formulae(Abstract) |

Jan. 26, 2012 | Karl Dilcher | The Gauss-Wilson Theorem for Partial Products(Abstract) |

Jan. 11, 2012 | Abdullah Al-Shaghay | An Irreducibility Criterion of Arthur Cohn(Abstract) |

Dec. 21, 2011 | Doug Staple | Introduction to Perfect Numbers(Abstract) |

Oct. 26, 2011 | John Cosgrave | Quarter Gauss Factorials Assuming Simplest Value(Abstract) |

Oct. 05, 2011 | Keith Johnson | Integer Valued Polynomials on Matrices(Abstract) |

Sept. 28, 2011 | Tony Vargas | Zeros and Limit Functions of Stern Polynomials(Abstract) |

Sept. 21, 2011 | Karl Dilcher | Stern Polynomials and Continued Fractions(Abstract) |

Mar. 30, 2011 | Hester Graves | Euclidean Ideals(Abstract) |

Mar. 09, 2011 | Karen Chandler | The Regularity of Singularity III(Abstract) |

Mar. 02, 2011 | Karen Chandler | The Regularity of Singularity II(Abstract) |

Feb. 16, 2011 | Karen Chandler | The Regularity of Singularity(Abstract) |

Nov. 24, 2010 | Rob Noble | Conjugate Algebraic Numbers on Plane Curves(Abstract) |

Nov. 03, 2010 | Ping Zhou | Some Arithmetical Results on Certain Multivariate Power(Abstract) |

June 30, 2010 | Rob Noble | Asymptotics of A Family of Binomial Sums(Abstract) |

Apr. 07, 2010 | Franklin Mendivil | Dynamics of Finite Linear Cellular Automata over $\mathbb{Z}_N$(Abstract) |

Mar. 31, 2010 | Karl Dilcher | The Multiplicative Orders of Certain Gauss Factorials(Abstract) |

Mar. 24, 2010 | Eva Curry | Similar Matrices and Topological Properties of Self-Affine Tiles(Abstract) |

Mar. 10, 2010 | Rob Noble | Zero Terms in Linear Recurrence Sequences(Abstract) |

Mar. 03, 2010 | Karyn McLellan | Growth Rates of Recurrence Sequences with Periodic Coefficients(Abstract) |

Feb. 10, 2010 | Mark Pavlovski | Prime Factorization in Hurwitz Quaternions(Abstract) |

Feb. 03, 2010 | Keith Johnson | Limits and Integer Valued Polynomials(Abstract) |

Jan. 27, 2010 | Karl Dilcher | Dedekind Sums and Uniform Distributions(Abstract) |

Jan. 19, 2010 | Dante Manna | Extensions of Strodt Polynomials and Numbers(Abstract) |

July 15, 2009 | Theodore Kolokolnikov | Combinatorics and PDEs(Abstract) |