Clifford Algebras and Shimura ’ S Lift for Theta - Series Fedor Andrianov
نویسنده
چکیده
Automorph class theory formalism is developed for the case of integral nonsingular quadratic forms in an odd number of variables. As an application, automorph class theory is used to construct a lifting of similitudes of quadratic Z-modules of arbitrary nondegenerate ternary quadratic forms to morphisms between certain subrings of associated Clifford algebras. The construction explains and generalizes Shimura’s correspondence in the case of thetaseries of positive definite ternary quadratic forms. Relations between associated zeta-functions are considered.
منابع مشابه
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