On the asymptotics of the shifted sums of Hecke eigenvalue squares

DOI10.1515/forum-2020-0359OpenAlexW4319449199MaRDI QIDQ2689765

Jiseong Kim

Publication date: 14 March 2023

Published in: Forum Mathematicum (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2011.06142

zbMATH Keywords

Hecke eigenvalueshifted convolution

Mathematics Subject Classification ID

Fourier coefficients of automorphic forms (11F30)

Related Items (1)

On the Rankin-Selberg problem in families

Uses Software

• GL(n)pack

Cites Work

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• On the Rankin-Selberg problem
• Sign changes of Hecke eigenvalues
• A zero-density theorem for the Riemann zeta-function
• Sums of powers of cusp form coefficients
• Correlations of the von Mangoldt and higher divisor functions. II: Divisor correlations in short ranges
• Topics in multiplicative number theory
• Automorphic Forms and L-Functions for the GroupGL(n, R)
• Averages of shifted convolutions ofd₃(n)
• Average behavior of Fourier coefficients of cusp forms
• An Additive Divisor Problem
• Correlations of the von Mangoldt and higher divisor functions I. Long shift ranges
• Cancellation in additively twisted sums on GL(n)

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