On the freund-witten adelic formula for Veneziano amplitudes |
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Authors: | V S Vladimirov |
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Institution: | 1. Steklov Mathematical Institute, Vavilov str. 42, GSP-1, 117966, Moscow, Russia
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Abstract: | On the basis of the analysis of the adele group (Tate's formula), a regularization for the divergent infinite product ofp-adic Г-functions $$\Gamma _p (\alpha ) = \frac{{1 - p^{\alpha - 1} }}{{ - p^{ - \alpha } }}$$ is proposed, and the adelic formula is proved $$reg\coprod\limits_{p = 2}^\infty {\Gamma _p (\alpha )} = \frac{{\zeta (\alpha )}}{{\zeta (1 - \alpha )}}$$ whereζ(α) is the Riemannζ-function. |
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