BYU

Abstract by Ryan Keck

Personal Infomation


Presenter's Name

Ryan Keck

Degree Level

Masters

Co-Authors

Paul Jenkins

Abstract Infomation


Department

Mathematics

Faculty Advisor

Paul Jenkins

Title

Congruences for coefficients of modular functions in levels 3, 5, and 7 with poles at 0

Abstract

We give congruences modulo powers of p, where p = 3, 5, or 7, for the Fourier coefficients of certain modular functions in level p with poles only at 0, answering a question posed by Andersen and Jenkins and continuing work done by Jenkins, Keck, and Moss. The congruences involve a modulus that depends on the base p expansion of the modular form's order of vanishing at infinity.