2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/56541Regularized adelic formulas for gamma and beta functions for arbitrary quasicharacters (either ramified or not) and in an arbitrary field of algebraic numbers are concretized as applied to one-class quadratic fields (and to the field of rational numbers). Applications to 4-tachyon tree string amplitudes, to the Veneziano (open strings) and Virasoro (closed strings) amplitudes as well as to massless 4-particle amplitudes of the Ramond-Neveu-Schwarz superstring and a heterotic string are discussed. Certain relations between different superstring amplitudes are established.15 pages, Latex2eMathematical PhysicsHigh Energy Physics - TheoryAdelic Formulas for Gamma and Beta Functions of One-Class Quadratic Fields: Applications to 4-Particle Scattering String Amplitudestext