Higher genus arithmetic-geometric means

DOI10.1007/s11139-007-9058-0zbMath1229.14035OpenAlexW2089563254MaRDI QIDQ539121

Frazer Jarvis

Publication date: 27 May 2011

Published in: The Ramanujan Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11139-007-9058-0

zbMATH Keywords

Siegel modular formsTheta functionsarithmetic-geometric means

Mathematics Subject Classification ID

Theta functions and abelian varieties (14K25) Theta series; Weil representation; theta correspondences (11F27) Special sequences and polynomials (11B83) Theta functions and curves; Schottky problem (14H42)

Related Items (2)

Certified Newton schemes for the evaluation of low-genus theta functions ⋮ Hyperelliptic integrals and generalized arithmetic-geometric mean

Cites Work

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• The arithmetic-geometric mean of Gauss
• Tata lectures on theta. I: Introduction and motivation: Theta functions in one variable. Basic results on theta functions in several variables. With the assistance of C. Musili, M. Nori, E. Previato, and M. Stillman

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