Abstract by Miriam Beazer
Prime power congruences for coefficients of half-integer weight modular forms
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, and 11.