Mixed moments of Hecke eigenforms and L‐functions

Abstract In this paper, we establish estimates for the expectation and variance of the mixed (2,2)‐moment of two Hecke eigenforms of distinct weights. Our results yield applications to triple product ‐functions. The proofs are based on moments of ‐functions.

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Publication Details

Journal
Mathematika
Published
2026-04-01
DOI
https://doi.org/10.1112/mtk.70091
Primary Topic
Analytic Number Theory Research
Type
article
Field-Weighted Citation Impact
0.00

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article

Mixed moments of Hecke eigenforms and L‐functions

Bingrong Huang
Mathematika
Analytic Number Theory Research
article

Mixed moments of Hecke eigenforms and L‐functions

Bingrong Huang
article en

Abstract

Abstract In this paper, we establish estimates for the expectation and variance of the mixed (2,2)‐moment of two Hecke eigenforms of distinct weights. Our results yield applications to triple product ‐functions. The proofs are based on moments of ‐functions.

MathematikaVol. 72(2)
State Key Laboratory of Cryptology (CN)
National Key Research and Development Program of China
Openalex Percentile: Top 96%
Analytic Number Theory Research
DOIOpen Access PDFOpenAlex
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