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On an asymptotic formula of Ramanujan for a certain theta-type series

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Publication:2717593
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DOI10.4064/aa97-2-4zbMath0972.11080OpenAlexW2037706968MaRDI QIDQ2717593

Masanori Katsurada

Publication date: 17 June 2001

Published in: Acta Arithmetica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4064/aa97-2-4


zbMATH Keywords

Mellin transformasymptotic expansionRiemann zeta-functiontheta seriesHurwitz zeta-functionLerch zeta-functionmultiple zeta-function


Mathematics Subject Classification ID

(zeta (s)) and (L(s, chi)) (11M06) Hurwitz and Lerch zeta functions (11M35)


Related Items (9)

Asymptotic expansions of the Hurwitz--Lerch zeta function ⋮ Fractality in cosmic topology models with spectral action gravity ⋮ Fractal zeta functions of orbits of parabolic diffeomorphisms ⋮ Complete asymptotic expansions associated with Epstein zeta-functions ⋮ Complete asymptotic expansions associated with Epstein zeta-functions. II ⋮ Generalized Lambert series and arithmetic nature of odd zeta values ⋮ DIFFERENTIAL ACTIONS ON THE ASYMPTOTIC EXPANSIONS OF NON-HOLOMORPHIC EISENSTEIN SERIES ⋮ A note on the asymptotic expansion of the Lerch's transcendent ⋮ Bounds for the Tornheim double zeta function




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