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On the asymptotics of the shifted sums of Hecke eigenvalue squares

2020/11/12 by Jiseong Kim, Kim, Jiseong
Computer Science · Mathematics · #11F30 #Analytic Number Theory Research #Coding theory and cryptography #FOS: Mathematics #Finite Group Theory Research #Number Theory (math.NT)

paper · pdf · doi:10.48550/arxiv.2011.06142

openalex publication_date 2020/11/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The purpose of this paper is to obtain asymptotics of shifted sums of Hecke eigenvalue squares on average. We show that for X(2)/(3)+ε < H

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