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Special values of hecke L-functions and abelian integrals

1985; Springer Nature; Linguagem: Inglês

10.1007/bfb0084583

1617-9692

G. Harder, Norbert Schappacher,

Analytic Number Theory Research

In this article we attempt to explain the formalism of Deligne's rationality conjecture for special values of motivic L-functions (see [DI]) in the particular case of L-functions attached to algebraic Hecke characters (Gr~Bencharaktere of type A0). In this case the conjecture is now a theorem by virtue of two complementary results, due to D. Blasius and G. Harder, respectively: see §5 below.