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The coefficients of the lemniscate function


Author: L. Carlitz
Journal: Math. Comp. 16 (1962), 475-478
MSC: Primary 33.19; Secondary 10.20
DOI: https://doi.org/10.1090/S0025-5718-1962-0152678-2
Corrigendum: Math. Comp. 17 (1963), 215-215.
MathSciNet review: 0152678
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References [Enhancements On Off] (What's this?)

  • [1] L. Carlitz, ``Congruences connected with the power series expansions of the Jacobi elliptic functions,'' Duke Math. J., v. 20, 1953, p. 1-12. MR 0052452 (14:621f)
  • [2] L. Carlitz, ``The coefficients of singular elliptic functions,'' Math. Ann., v. 127, 1954, p. 162-169. MR 0059950 (15:604a)
  • [3] L. Carlitz, ``Some arithmetic properties of the lemniscate coefficients,'' Math. Nachr., v. 22, 1960, p. 237-249. MR 0121338 (22:12077)
  • [4] A. Hurwitz, ``Entwickelungscoeffizienten der lemniscatischen Funktionen,'' Math. Ann., v. 51, 1899, p. 196-226 (Mathematische Werke, Basel, 1953, v. 2, p. 342-373). MR 1511022

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DOI: https://doi.org/10.1090/S0025-5718-1962-0152678-2
Article copyright: © Copyright 1962 American Mathematical Society

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