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The evaluation in terms of \(\Gamma\)-functions of the periods of elliptic curves admitting complex multiplication. (English) Zbl 0356.33003

MSC:
33E05 Elliptic functions and integrals
11M35 Hurwitz and Lerch zeta functions
11E45 Analytic theory (Epstein zeta functions; relations with automorphic forms and functions)
11R42 Zeta functions and \(L\)-functions of number fields
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References:
[1] Ramanujan, Quart. J. Math. 45 pp 350– (1914)
[2] Landau, Vorleaung ?ber Zahlentheorie II pp 9– (1947)
[3] Hardy, Ramanujan (1959)
[4] DOI: 10.2307/2005214 · Zbl 0217.11002
[5] Selberg, J. ReineAngew. Math. 227 pp 86– (1967)
[6] DOI: 10.1088/0305-4470/9/8/007 · Zbl 0338.10038
[7] Whittaker, Modern Analysis pp 22– (1927)
[8] Weber, Lehrbuch der Algebra III (1908)
[9] DOI: 10.1093/qmath/os-3.1.81 · Zbl 0005.00902
[10] DOI: 10.1088/0305-4470/9/8/006 · Zbl 0338.10037
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