Double series identities arising from Jacobi's identity of the theta function

DOI10.1007/s00025-018-0770-4zbMath1432.11124OpenAlexW2791993824MaRDI QIDQ1743215

Hirofumi Tsumura

Publication date: 13 April 2018

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

Full work available at URL: https://doi.org/10.1007/s00025-018-0770-4

zbMATH Keywords

hyperbolic functionsEisenstein seriesRiemann's zeta-function

Mathematics Subject Classification ID

Other Dirichlet series and zeta functions (11M41) Multiple Dirichlet series and zeta functions and multizeta values (11M32)

Related Items (2)

Identities about level 2 Eisenstein series ⋮ On approximation by max-product Shepard operators

Cites Work

• Analogues of level-\(N\) Eisenstein series
• Analogues of the Hurwitz formulas for level 2 Eisenstein series
• On alternating analogues of Tornheim's double series. II
• 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
• On functional relations between the Mordell–Tornheim double zeta functions and the Riemann zeta function
• Introduction to algebraic independence theory. With contributions from F. Amoroso, D. Bertrand, W. D. Brownawell, G. Diaz, M. Laurent, Yu. V. Nesterenko, K. Nishioka, P. Philippon, G. Rémond, D. Roy, M. Waldschmidt
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