Algebra & Number Theory Seminar | Department Home

Texas Tech University
Algebra & Number Theory Seminar

Department of Mathematics & Statistics
Math 110
Wednesdays 3:00-4:00 pm

Dermot McCarthy

Texas Tech University

Wednesday, 7 March, 2018

Math 110, 3:00 pm

Title: Sequences, Modular Forms and Cellular Integrals

Abstract: The Apéry numbers, which arise in the irrationality proofs for ζ(2) and ζ(3), satisfy many intriguing arithmetic properties, and are also related to the p-th Fourier coefficients of modular forms. We describe sequences associated to Brown's cellular integrals, of which the Apéry numbers are special cases. We discuss recent work on proving that the connection to modular forms persists for these sequences in general.