{"title":"A Voronoi summation formula for non-holomorphic Maass forms of half-integral weight","authors":"Olga Balkanova, Dmitry Frolenkov","doi":"10.1007/s00605-023-01921-3","DOIUrl":null,"url":null,"abstract":"<p>We prove a Voronoi summation formula for non-holomorphic half-integral weight Maass forms on <span>\\(\\Gamma _0(4)\\)</span> without any restrictions on the denominator of a fraction in the exponential function. As an application we obtain a Voronoi summation formula for the values of Zagier <i>L</i>-series.\n</p>","PeriodicalId":18913,"journal":{"name":"Monatshefte für Mathematik","volume":"61 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2023-11-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Monatshefte für Mathematik","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1007/s00605-023-01921-3","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
We prove a Voronoi summation formula for non-holomorphic half-integral weight Maass forms on \(\Gamma _0(4)\) without any restrictions on the denominator of a fraction in the exponential function. As an application we obtain a Voronoi summation formula for the values of Zagier L-series.
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