Clifford algebras and Shimura's lift for Theta-series

Details Clifford algebras and Shimura's lift for Theta-series Clifford algebras and Shimura's lift for Theta-series

1999-09-14

arxiv.org/abs/math/9909201v1

Mathematics

Number Theory

Scientific paper

In this paper we use automorph class theory formalism to construct a lifting of similitudes of quadratic Z-modules of arbitrary ternary nondegenerate quadratic forms to morphisms between certain subrings of associated Clifford algebras. The construction explains and generalizes Shimura's correspondence in the case of theta-series of positive-definite quadratic forms. Relations between associated zeta-functions are considered.

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