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Convolution formula...
Convolution formula for the sums of generalized Dirichlet L-functions
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- Balkanova, Olga (author)
- Gothenburg University,Göteborgs universitet,Institutionen för matematiska vetenskaper,Department of Mathematical Sciences
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Frolenkov, Dmitry (author)
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(creator_code:org_t)
- 2019-07-12
- 2019
- English.
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In: Revista Matematica Iberoamericana. - : European Mathematical Society - EMS - Publishing House GmbH. - 0213-2230. ; 35:7, s. 1973-1995
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Abstract
Subject headings
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- Using the Kuznetsov trace formula, we prove a spectral decomposition for the sums of generalized Dirichlet L-functions. Among applications are an explicit formula relating norms of prime geodesics to moments of symmetric square L-functions and an asymptotic expansion for the average of central values of generalized Dirichlet L-functions.
Subject headings
- NATURVETENSKAP -- Matematik (hsv//swe)
- NATURAL SCIENCES -- Mathematics (hsv//eng)
Keyword
- Generalized Dirichlet L-functions
- prime geodesic theorem
- Kuznetsov
- trace formula
- generalized Kloosterman sums
- symmetric square
- L-functions
- mean-value
- series
- weight
- values
- Mathematics
Publication and Content Type
- ref (subject category)
- art (subject category)
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