An explicit formula for the second moment of Maass form symmetric square L-functions
Balkanova, Olga (Steklov Mathematical Institute (Moscou, Rússia))
Frolenkov, Dmitry (Steklov Mathematical Institute (Moscou, Rússia))

Fecha:	2023
Resumen:	We prove an explicit formula for the second moment of symmetric square L-functions associated to Maass forms for the full modular group. In particular, we show how to express the considered second moment in terms of dual second moments of symmetric square L-functions associated to Maass cusp forms of levels 4, 16, and 64.
Nota:	Altres ajuts: Olga Balkanova's research was funded by RFBR, project number 19-31-60029. Dmitry Frolenkov's research was supported by the Theoretical Physics and Mathematics Advancement Foundation "BASIS".
Derechos:	Tots els drets reservats.
Lengua:	Anglès
Documento:	Article ; recerca ; Versió publicada
Materia:	L-functions ; Kloosterman sums ; Kuznetsov trace formula ; Regularization
Publicado en:	Publicacions matemàtiques, Vol. 67 Núm. 2 (2023) , p. 611-660 (Articles) , ISSN 2014-4350

Adreça original: https://raco.cat/index.php/PublicacionsMatematiques/article/view/418413
DOI: 10.5565/PUBLMAT6722306

50 p, 590.0 KB

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