The coefficients of the lemniscate function

Carlitz, L.

doi:10.1090/S0025-5718-1962-0152678-2

Mathematics of Computation

Published by the American Mathematical Society since 1960 (published as Mathematical Tables and other Aids to Computation 1943-1959), Mathematics of Computation is devoted to research articles of the highest quality in computational mathematics.

ISSN 1088-6842 (online) ISSN 0025-5718 (print)

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The coefficients of the lemniscate function
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by L. Carlitz PDF

Math. Comp. 16 (1962), 475-478 Request permission

Corrigendum: Math. Comp. 17 (1963), 215-215.

References

L. Carlitz, Congruences connected with the power series expansions of the Jacobi elliptic functions, Duke Math. J. 20 (1953), 1–12. MR 52452
Leonard Carlitz, The coefficients of singular elliptic functions, Math. Ann. 127 (1954), 162–169. MR 59950, DOI 10.1007/BF01361117
Leonard Carlitz, Some arithmetic properties of the lemniscate coefficients, Math. Nachr. 22 (1960), 237–249. MR 121338, DOI 10.1002/mana.19600220312
A. Hurwitz, Ueber die Entwickelungscoefficienten der lemniscatischen Functionen, Math. Ann. 51 (1898), no. 2, 196–226 (German). MR 1511022, DOI 10.1007/BF01453637