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Sign of Fourier coefficients of modular forms of half integral weight

Published 2 Jul 2015 in math.NT | (1507.00518v2)

Abstract: We establish lower bounds for (i) the numbers of positive and negative terms and (ii) the number of sign changes in the sequence of Fourier coefficients at squarefree integers of a half-integral weight modular Hecke eigenform.

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