Asymptotic formulas for the second moments of \(L\)-series associated to holomorphic cusp forms on the critical line

Asymptotic formulas for the second moments of \(L\)-series associated to holomorphic cusp forms on the critical line

New uniform asymptotic formulas are obtained for the second moment of \(L\)-series of cusp forms of even weight \(2k\ge2\) with respect to the congruence subgroup \(\Gamma_0(N).\)

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Veröffentlicht in:arXiv.org 2016-08
Hauptverfasser: Bykovskii, V A, Frolenkov, D A
Format: Artikel
Sprache:eng
Schlagworte:
Asymptotic properties
Subgroups
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Zusammenfassung:New uniform asymptotic formulas are obtained for the second moment of \(L\)-series of cusp forms of even weight \(2k\ge2\) with respect to the congruence subgroup \(\Gamma_0(N).\)
ISSN:2331-8422
DOI:10.48550/arxiv.1608.00555