{"title":"Mixed moments of Hecke eigenforms and -functions","authors":"Bingrong Huang","doi":"10.1112/mtk.70091","DOIUrl":null,"url":null,"abstract":"<p>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 <span></span><math></math>-functions. The proofs are based on moments of <span></span><math></math>-functions.</p>","PeriodicalId":18463,"journal":{"name":"Mathematika","volume":"72 2","pages":""},"PeriodicalIF":0.8000,"publicationDate":"2026-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Mathematika","FirstCategoryId":"100","ListUrlMain":"https://londmathsoc.onlinelibrary.wiley.com/doi/10.1112/mtk.70091","RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 0
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.
期刊介绍:
Mathematika publishes both pure and applied mathematical articles and has done so continuously since its founding by Harold Davenport in the 1950s. The traditional emphasis has been towards the purer side of mathematics but applied mathematics and articles addressing both aspects are equally welcome. The journal is published by the London Mathematical Society, on behalf of its owner University College London, and will continue to publish research papers of the highest mathematical quality.