A note on small gaps between nonzero fourier coefficients of cusp forms

Article Type

Research Article

Publication Title

Proceedings of the American Mathematical Society

Abstract

It is shown that there are infinitely many primitive cusp forms f of weight 2 with the property that for all X large enough, every interval (X,X + cX1/4), where c > 0 depends only on the form, contains an integer n such that the n-th Fourier coefficient of f is nonzero.

First Page

2301

Last Page

2305

DOI

10.1090/proc/12887

Publication Date

6-1-2016

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