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Adelic Formulas for Gamma- and Beta-functions in Algebraic Numbers Fields

V. S. Vladimirov

alg-geomarXiv:alg-geom/9701008

Abstract

On the basis of analysis on the adele ring of any algebraic numbers field (Tate's formula) a regularization for divergent adelic products of gamma- and beta-functions for all completions of this field are proposed, and corresponding regularized adelic formulas are obtained.

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