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On the freund-witten adelic formula for Veneziano amplitudes

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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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Authors and Affiliations

  1. Steklov Mathematical Institute, Vavilov str. 42, GSP-1, 117966, Moscow, Russia

    V. S. Vladimirov

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  1. V. S. Vladimirov
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Vladimirov, V.S. On the freund-witten adelic formula for Veneziano amplitudes. Lett Math Phys 27, 123–131 (1993). https://doi.org/10.1007/BF00750680

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  • DOI: https://doi.org/10.1007/BF00750680

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