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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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