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J. L. Doob Research Assistant Professor
From January to December 2013, I visited the Max Planck Institute for Mathematics. Academic parents:
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Research interests
Analytic number theory, special functions, symbolic and numerical computation, enumerative combinatorics
More specifically, objects of particular interest include
- Apéry-like numbers and their properties, particularly supercongruences,
- modular forms and arithmetic differential equations,
- hypergeometric functions, multiple polylogarithms and Mahler measure.
Fall 2014 semester
- Applied Linear Algebra (Math 415)
- IGL project: p-adic properties of sequences and finite state automata
- Number Theory Seminar
- Graduate Student Number Theory Seminar
Recent publications
- Densities of short uniform random walks, Part II: Higher dimensions
Jonathan M. Borwein, Armin Straub, Christophe Vignat — Preprint — 2015 - Congruences for Fishburn numbers modulo prime powers
Armin Straub — International Journal of Number Theory — 2015 - Special values of trigonometric Dirichlet series and Eichler integrals
Armin Straub — Preprint — 2014 - Multivariate Apéry numbers and supercongruences of rational functions
Armin Straub — Algebra & Number Theory — Volume 8, Number 8, 2014, Pages 1985-2008 - On a secant Dirichlet series and Eichler integrals of Eisenstein series
Bruce C. Berndt, Armin Straub — Preprint — 2014
Recent talks
- Congruences for Fishburn numbers modulo prime powers
2015/01/11 — AMS Joint Meetings 2015, Special Session on Partitions, q-Series, and Modular Forms (San Antonio) - Trigonometric Dirichlet series and Eichler integrals
2014/10/20 — Number Theory and Experimental Mathematics Day (Dalhousie University) - On a q-analog of the Apéry numbers
2014/10/18 — AMS Fall Eastern Sectional Meeting 2014, Special Session on Experimental Mathematics in Number Theory, Analysis, and Combinatorics (Dalhousie University) - Positivity of rational functions and their diagonals
2014/10/18 — AMS Fall Eastern Sectional Meeting 2014, Special Session on Special Functions and Their Applications (Dalhousie University) - Properties and applications of Apéry-like numbers (Tulane)
2014/09/18 — Mathematics Colloquium (Tulane University)
