# Dalhousie Number Theory Seminar

Date Speaker Title

Fall 2019

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

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

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

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

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

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)