BYU

Abstract by Miriam Beazer

Personal Infomation


Presenter's Name

Miriam Beazer

Degree Level

Undergraduate

Abstract Infomation


Department

Mathematics

Faculty Advisor

Paul Jenkins

Title

Prime power congruences for coefficients of half-integer weight modular forms

Abstract

Congruences for partition functions studied by Ramanujan have led to the study of congruences for the coefficients of modular forms. Congruences have been proved for coefficients of integer weight modular forms such as the j-invariant and bases for spaces of integer weight modular forms. In addition, Boylan has studied and proved congruences for coefficients of half-integral weight modular forms modulo 2n. We study other congruences for coefficients of half-integral weight modular forms modulo powers of 3, 5, 7, 11, and 13.