RAMANUJAN SERIES WITH A SHIFT

DOI10.1017/S1446788718000174zbMath1428.33015arXiv1802.02023OpenAlexW2963506815MaRDI QIDQ4972095

Jesús Guillera

Publication date: 22 November 2019

Published in: Journal of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1802.02023

zbMATH Keywords

hypergeometric seriesmodular formslattice sumsDirichlet \(L\)-valuesRamanujan series for \(1/ \pi \)

Mathematics Subject Classification ID

Modular and automorphic functions (11F03) Generalized hypergeometric series, ({}_pF_q) (33C20) Classical hypergeometric functions, ({}_2F_1) (33C05) Elliptic functions and integrals (33E05) Elliptic integrals as hypergeometric functions (33C75)

Related Items (2)

Special Hypergeometric Motives and Their L-Functions: Asai Recognition ⋮ Bilateral Ramanujan-like series for 1/πk and their congruences

Uses Software

• OEIS

Cites Work

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• Domb's numbers and Ramanujan-Sato type series for \(1/\pi\)
• Apéry limits and special values of \(L\)-functions
• WZ-Proofs of “Divergent” Ramanujan-Type Series
• RAMANUJAN SERIES UPSIDE-DOWN
• A Matrix form of Ramanujan-type series for $1/\pi$
• Lattice Sums Then and Now

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