Generalized Ramanujan-Sato series arising from modular forms

DOI10.1007/978-3-031-51677-1_3MaRDI QIDQ6619052

Lea Beneish, Bella Tobin, Manami Roy, Angelica Babei, Holly Swisher, Fang-Ting Tu

Publication date: 15 October 2024

zbMATH Keywords

hypergeometric functionsmodular formsRamanujan-type seriesarithmetic triangle groups

Mathematics Subject Classification ID

Modular and automorphic functions (11F03) Holomorphic modular forms of integral weight (11F11) Generalized hypergeometric series, ({}_pF_q) (33C20) Classical hypergeometric functions, ({}_2F_1) (33C05) Evaluation of number-theoretic constants (11Y60)

Cites Work

• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)
• The Apéry numbers, the Almkvist-Zudilin numbers and new series for \(1/\pi\)
• Arithmetic triangle groups
• Modular equations and approximations to \(\pi\).
• Computing special \(L\)-values of certain modular forms with complex multiplication
• Domb's numbers and Ramanujan-Sato type series for \(1/\pi\)
• Valence formulas for certain arithmetic groups and their applications
• Product of two hypergeometric functions with power arguments
• Elliptic Modular Forms and Their Applications
• Rational analogues of Ramanujan's series for 1/π
• Ramanujan-type formulae for $1/\pi$: A second wind?
• Monstrous Moonshine
• Values of the Dedekind Eta Function at Quadratic Irrationalities
• Von den Coefficienten der Reihen von Kugelfunctionen einer Variablen.
• Schwarzian differential equations and Hecke eigenforms on Shimura curves
• Modular polynomials via isogeny volcanoes
• Evaluation of the Dedekind Eta Function

This page was built for publication: Generalized Ramanujan-Sato series arising from modular forms

Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6619052)