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

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

1997-01-20

arxiv.org/abs/alg-geom/9701008v1

Mathematics

Algebraic Geometry

19 pages, plain Tex, no figures

Scientific paper

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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