Algebraic hypergeometric transformations of modular origin

DOI10.1090/S0002-9947-07-04128-1zbMath1145.11034arXivmath/0501425WikidataQ62796069 ScholiaQ62796069MaRDI QIDQ3433740

Robert S. Maier

Publication date: 2 May 2007

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

Full work available at URL: https://arxiv.org/abs/math/0501425

Mathematics Subject Classification ID

Modular and automorphic functions (11F03) Dedekind eta function, Dedekind sums (11F20) Classical hypergeometric functions, ({}_2F_1) (33C05)

Related Items (8)

Towers of function fields over finite fields corresponding to elliptic modular curves ⋮ Quantum geometry of resurgent perturbative/nonperturbative relations ⋮ Darboux evaluations for hypergeometric functions with the projective monodromy \(\mathrm{PSL}(2,\mathbb{F}_7)\) ⋮ A new approach to hypergeometric transformation formulas ⋮ Basic representations for Eisenstein series from their differential equations ⋮ Hypergeometric transformation formulas of degrees 3, 7, 11 and 23 ⋮ HYPERGEOMETRIC MODULAR EQUATIONS ⋮ Positivity of rational functions and their diagonals

Uses Software

• OEIS

Cites Work

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• Modular solutions to equations of generalized Halphen type
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• Construction and Application of a Class of Modular Functions (II)†
• Eta products of weight 1 and level 36.

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