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Quadratic minima and modular forms II

Barry Brent

math.NTarXiv:math/0001085

Abstract

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.

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