A MAGNETIC DOUBLE INTEGRAL

DOI10.1017/S1446788718000186zbMath1470.11068arXiv1708.02381MaRDI QIDQ5222665

Wadim Zudilin, David J. Broadhurst

Publication date: 10 July 2019

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

Full work available at URL: https://arxiv.org/abs/1708.02381

zbMATH Keywords

modular formelliptic integralarithmetic-geometric meanarithmetic differential equation

Mathematics Subject Classification ID

Holomorphic modular forms of integral weight (11F11) Generalized hypergeometric series, ({}_pF_q) (33C20) Elliptic functions and integrals (33E05) Statistical mechanics of magnetic materials (82D40) Symbolic computation of special functions (Gosper and Zeilberger algorithms, etc.) (33F10)

Related Items (5)

MAGNETIC (QUASI-)MODULAR FORMS ⋮ A magnetic modular form ⋮ Symmetries of certain double integrals related to Hall effect devices ⋮ Arithmetic properties of Fourier coefficients of meromorphic modular forms ⋮ Extensions of the AZ-Algorithm and the Package MultiIntegrate

Cites Work

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• Taylorentwicklungen automorpher Formen und ein Transzendenzproblem aus der Uniformisierungstheorie
• A functional identity involving elliptic integrals
• A Double Integral
• On Epstein's Zeta Function (I)

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