On the sum of the twisted Fourier coefficients of Maass forms by M\"obius function

K Venkatasubbareddy; Amrinder Kaur; Ayyadurai Sankaranarayanan

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arXiv · 2202.00873

On the sum of the twisted Fourier coefficients of Maass forms by M\"obius function

K Venkatasubbareddy·Amrinder Kaur·Ayyadurai Sankaranarayanan

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Abstract

In this paper, we study non-trivial upper bounds for the sum $\sum \limits_{n \in S} |\lambda_f(n)|$ where $f$ is a normalized Maass eigencusp form for the full modular group, $\lambda_f(n)$ is the $n$th normalized Fourier coefficient of $f$ and $S$ is a proper subset of positive integers in $[1,x]$ with certain properties.

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BibTeX RIS

K Venkatasubbareddy, Amrinder Kaur, Ayyadurai Sankaranarayanan. 2022-02-02. On the sum of the twisted Fourier coefficients of Maass forms by M\"obius function. https://arxiv.org/abs/2202.00873

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