Theta functions, elliptic functions and π

DOI10.1515/9783110541915zbMATH Open1458.11002OpenAlexW3041092376MaRDI QIDQ5112002

Heng Huat Chan

Publication date: 27 May 2020

Full work available at URL: https://doi.org/10.1515/9783110541915

zbMATH Keywords

Eisenstein seriestheta functionselliptic functionsRamanujanarithmetic-geometric mean\(q\)-binomial theoremJacobi's triple product identity

Mathematics Subject Classification ID

Modular and automorphic functions (11F03) Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to number theory (11-01) Elliptic functions and integrals (33E05) Theta functions and curves; Schottky problem (14H42) Elliptic integrals as hypergeometric functions (33C75)

Related Items (1)

Several identities, estimates and special values for the elliptic theta functions

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