Geodesic
Regularized adelic formulas for string and superstring amplitudes in one-class quadratic fields
Teoretičeskaâ i matematičeskaâ fizika, Tome 164 (2010) no. 3, pp. 323-332 Cet article a éte moissonné depuis la source Math-Net.Ru

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We obtain regularized adelic formulas for gamma and beta functions for fields of rational numbers and the one-class quadratic fields and arbitrary quasicharacters (ramified or not). We consider applications to four-tachyon tree string amplitudes, generalized Veneziano amplitudes (open string), perturbed Virasoro amplitudes (closed string), massless four-particle tree open and closed superstring amplitudes, Ramond–Neveu–Schwarz superstring amplitudes, and charged heterotic superstring amplitudes. We establish certain relations between different string and superstring amplitudes.
Keywords: adele, field, string.
Mots-clés : idele 
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V. S. Vladimirov. Regularized adelic formulas for string and superstring amplitudes in one-class quadratic fields. Teoretičeskaâ i matematičeskaâ fizika, Tome 164 (2010) no. 3, pp. 323-332. http://geodesic.mathdoc.fr/item/TMF_2010_164_3_a0/

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