Analogues of the Hurwitz formulas for level 2 Eisenstein series

DOI10.1007/S00025-010-0058-9zbMath1248.11065OpenAlexW1988330189MaRDI QIDQ606397

Hirofumi Tsumura

Publication date: 17 November 2010

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00025-010-0058-9

zbMATH Keywords

hyperbolic functionsEisenstein seriesRiemann zeta-functionHurwitz numberslemniscate constant

Mathematics Subject Classification ID

Other Dirichlet series and zeta functions (11M41)

Related Items (3)

Double series identities arising from Jacobi's identity of the theta function ⋮ Identities about level 2 Eisenstein series ⋮ Infinite series involving hyperbolic functions

Cites Work

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• Modular transformations and generalizations of several formulae of Ramanujan
• On the values of Eisenstein series
• Hyperbolic-sine analogues of Eisenstein series, generalized Hurwitz numbers, and q-zeta functions
• On certain analogues of Eisenstein series and their evaluation formulas of Hurwitz type
• EVALUATION OF CERTAIN CLASSES OF EISENSTEIN-TYPE SERIES
• Euler and the Zeta Function
• Eine Bemerkung über die Hurwitzschen Zahlen.
• Analytic Eisenstein series, theta-functions, and series relations in the spirit of Ramanujan.
• On some combinatorial relations for Tornheim's double series
• On functional relations between the Mordell–Tornheim double zeta functions and the Riemann zeta function

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