×

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
PDFBibTeX XMLCite
Full Text: DOI

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 · doi:10.2307/2005214
[5] Selberg, J. ReineAngew. Math. 227 pp 86– (1967)
[6] DOI: 10.1088/0305-4470/9/8/007 · Zbl 0338.10038 · doi:10.1088/0305-4470/9/8/007
[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 · doi:10.1093/qmath/os-3.1.81
[10] DOI: 10.1088/0305-4470/9/8/006 · Zbl 0338.10037 · doi:10.1088/0305-4470/9/8/006
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.