Geodesic
Asymptotic Expansions for Dirichlet Series Associated to Cusp Forms
Publications de l'Institut Mathématique, _N_S_65 (1999) no. 79, p. 69

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Zbl

We prove an asymptotic expansion of Riemann-Siegel type for Dirichlet series associated to cusp forms. Its derivation starts from a new integral formula for the Dirichlet series and uses sharp asymptotic expansions for partial sums of the Fourier series of the cusp form.
Classification : 11M41
Keywords: Riemann-Siegel formula, cusp forms, Dirichlet series 
Andreas Guthmann. Asymptotic Expansions for Dirichlet Series Associated to Cusp Forms. Publications de l'Institut Mathématique, _N_S_65 (1999) no. 79, p. 69 . http://geodesic.mathdoc.fr/item/PIM_1999_N_S_65_79_a7/
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     author = {Andreas Guthmann},
     title = {Asymptotic {Expansions} for {Dirichlet} {Series} {Associated} to {Cusp} {Forms}},
     journal = {Publications de l'Institut Math\'ematique},
     pages = {69 },
     year = {1999},
     volume = {_N_S_65},
     number = {79},
     zbl = {1006.11052},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/PIM_1999_N_S_65_79_a7/}
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