On the sum of the twisted Fourier coefficients of Maass forms by Möbius function

2022/02/02 by K Venkatasubbareddy, Venkatasubbareddy, K, Amrinder Kaur +3
Mathematics · #Advanced Algebra and Geometry #Advanced Mathematical Identities #Analytic Number Theory Research #FOS: Mathematics #Number Theory (math.NT)

paper · pdf · doi:10.48550/arxiv.2202.00873

openalex publication_date 2022/02/02 · openalex created_date 2022/04/03 · openalex updated_date 2026/07/28

Abstract

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

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