{"title":"Spectral reciprocity via integral representations","authors":"Ramon M. Nunes","doi":"10.2140/ant.2023.17.1381","DOIUrl":null,"url":null,"abstract":"<p>We prove a spectral reciprocity formula for automorphic forms on <math display=\"inline\" xmlns=\"http://www.w3.org/1998/Math/MathML\"><mi> GL</mi><mo> <!--FUNCTION APPLICATION--> </mo><!--nolimits--><mo stretchy=\"false\">(</mo><mn>2</mn><mo stretchy=\"false\">)</mo></math> over a number field that is reminiscent of one found by Blomer and Khan. Our approach uses period representations of <math display=\"inline\" xmlns=\"http://www.w3.org/1998/Math/MathML\"><mi>L</mi></math>-functions and the language of automorphic representations. </p>","PeriodicalId":50828,"journal":{"name":"Algebra & Number Theory","volume":"55 3","pages":""},"PeriodicalIF":0.9000,"publicationDate":"2023-08-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"6","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Algebra & Number Theory","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.2140/ant.2023.17.1381","RegionNum":1,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 6
Abstract
We prove a spectral reciprocity formula for automorphic forms on over a number field that is reminiscent of one found by Blomer and Khan. Our approach uses period representations of -functions and the language of automorphic representations.
期刊介绍：
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