The arithogeometric mean

DOI10.1007/BF01198359zbMath0686.14040MaRDI QIDQ1262364

Daniel R. Grayson

Publication date: 1989

Published in: Archiv der Mathematik (Search for Journal in Brave)

zbMATH Keywords

algorithmsperiods of an elliptic curvearithogeometric meancompute elliptic functionsmachine computations

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Special algebraic curves and curves of low genus (14H45) Elliptic curves (14H52) Software, source code, etc. for problems pertaining to algebraic geometry (14-04) Elliptic functions and integrals (33E05)

Related Items (2)

The Weierstrass mean. I: The periods of \(\wp (z| e_ 1,e_ 2,e_ 3)\) ⋮ The behavior of the Mordell-Weil group of elliptic curves

Uses Software

• EllipticIntegrals

Cites Work

• The arithmetic-geometric mean of Gauss
• Divisibility of the Specialization Map for Families of Elliptic Curves

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