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2017 | OriginalPaper | Chapter

Sturm-Like Bound for Square-Free Fourier Coefficients

Authors : Pramath Anamby, Soumya Das

Published in: L-Functions and Automorphic Forms

Publisher: Springer International Publishing

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Abstract

In this short article, we show the existence of an analogue of the classical Sturm’s bound in the context of the square-free Fourier coefficients for cusp forms of square-free levels. This number is a cut-off to determine a cusp form from its initial few square-free Fourier coefficients. We also mention some questions in this regard.

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next chapter Images of Maass-Poincaré Series in the Lower Half-Plane
Literature
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Metadata
Title
Sturm-Like Bound for Square-Free Fourier Coefficients
Authors
Pramath Anamby
Soumya Das
Copyright Year
2017
Book
L-Functions and Automorphic Forms

Print ISBN: 978-3-319-69711-6

Electronic ISBN: 978-3-319-69712-3

Copyright Year: 2017

DOI
https://doi.org/10.1007/978-3-319-69712-3_1

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