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On an identity of Chowla and Selberg. (English) Zbl 0418.14024


MSC:

14K22 Complex multiplication and abelian varieties
14H45 Special algebraic curves and curves of low genus
11G15 Complex multiplication and moduli of abelian varieties
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References:

[1] Chowla, S.; Selberg, A., On Epstein’s zeta-function, Crelle J., 227, 86-110 (1967) · Zbl 0166.05204
[2] P. Deligne; P. Deligne
[3] Gross, B., Arithmetic on Elliptic Curves with Complex Multiplication, (thesis (1978), Harvard University)
[4] Gross, B., On the periods of Abelian integrals and a formula of Chowla and Selberg, Invent. Math., 45, 193-211 (1978) · Zbl 0418.14023
[5] Gross, B.; Koblitz, N., Gauss sums and the \(p\)-adic Γ-function, Ann. Math., 109, 569-581 (1979) · Zbl 0406.12010
[6] Shimura, G., Automorphic forms and the periods of Abelian varieties, (Proc. Math. Soc. Japan (1979)), to appear · Zbl 0456.10015
[7] Weil, A., La cyclotomie jadis et naguère, Sém. Bourbaki, No. 452 (1974) · Zbl 0352.12006
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