Asymptotic formulae for the second moments of -series of holomorphic cusp forms on the critical line

Asymptotic formulae for the second moments of -series of holomorphic cusp forms on the critical line

We obtain new uniform asymptotic formulae for the second moments of -series of cusp forms of even weight with respect to the congruence subgroup .

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Veröffentlicht in:Izvestiya. Mathematics 2017-04, Vol.81 (2), p.239-268
Hauptverfasser: Bykovskii, V. A., Frolenkov, D. A.
Format: Artikel
Sprache:eng
Schlagworte:
Asymptotic properties
convolution formula
L$-series of automorphic forms
modular form
Subgroups
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Beschreibung
Zusammenfassung:We obtain new uniform asymptotic formulae for the second moments of -series of cusp forms of even weight with respect to the congruence subgroup .
ISSN:1064-5632
1468-4810
DOI:10.1070/IM8426