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1 results on '"Cusp form"'

1. On the first sign change of Fourier coefficients of cusp forms.

Author

He, Xiaoguang and Zhao, Lilu

Subjects
*FOURIER analysis, *COEFFICIENTS (Statistics), *CUSP forms (Mathematics), *INTEGRALS, *INTEGERS
Abstract

Let f be a nonzero cusp form of even integral weight k ⩾ 2 on the Hecke congruence subgroup Γ 0 ( N ) with N squarefree. Suppose that the normalized Fourier coefficients λ f ( n ) of f are real. We prove that the first sign change of λ f ( n ) occurs in the range n ≪ ( k N ) 2 + ε . This improves upon the earlier result of Choie and Kohnen [2] . [ABSTRACT FROM AUTHOR]

Published
2018
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