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Convolution formula for the sums of generalized Dirichlet L-functions
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- Balkanova, Olga, 1988 (author)
- Chalmers tekniska högskola,Chalmers University of Technology,Göteborgs universitet,University of Gothenburg
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- Frolenkov, Dmitry (author)
- Russian Academy of Sciences
- (creator_code:org_t)
- 2019-07-12
- 2019
- English.
- In: Revista Matematica Iberoamericana. - : European Mathematical Society - EMS - Publishing House GmbH. - 0213-2230 .- 2235-0616. ; 35:7, s. 1973-1995
- Journal article (peer-reviewed)
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 -- Geometri (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Geometry (hsv//eng)
- NATURVETENSKAP -- Matematik -- Diskret matematik (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Discrete Mathematics (hsv//eng)
- NATURVETENSKAP -- Matematik -- Matematisk analys (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Mathematical Analysis (hsv//eng)
Keyword
- Prime geodesic theorem
- Generalized Dirichlet L-functions
- Kuznetsov trace formula
- Generalized Kloosterman sums
- Symmetric square L-functions
Publication and Content Type
- art (subject category)
- ref (subject category)
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