Quadratic minima and modular forms II

Barry Brent

Published 2000-01-14, updated 2000-01-15Version 2

We give upper bounds on the size of the gap between a non-zero constant term and the next non-zero Fourier coefficient of an entire level two modular form. We give upper bounds for the minimum positive integer represented by a level two even positive-definite quadratic form. These bounds extend partial results in part I.