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.
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container_title Izvestiya. Mathematics
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creator Bykovskii, V. A.
Frolenkov, D. A.
description We obtain new uniform asymptotic formulae for the second moments of -series of cusp forms of even weight with respect to the congruence subgroup .
doi_str_mv 10.1070/IM8426
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source IOP Publishing Journals; Alma/SFX Local Collection
subjects Asymptotic properties
convolution formula
L$-series of automorphic forms
modular form
Subgroups
title Asymptotic formulae for the second moments of -series of holomorphic cusp forms on the critical line
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