Quadratic minima and modular forms II, by Barry Brent

We prove that a level two, weight k modular form with non-zero constant term has a non-zero Fourier coefficient for a positive exponent not exceeding the dimension of the level two, weight k vector space of modular forms. We obtain a corresponding bound for the least positive integer represented by an even, positive, level two quadratic form.

Barry Brent <barryb@primenet.com>