Clifford algebras and Shimura's lift for Theta-series
Number Theory
2007-05-23 v1
Abstract
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.
Keywords
Cite
@article{arxiv.math/9909201,
title = {Clifford algebras and Shimura's lift for Theta-series},
author = {Fedor Andrianov},
journal= {arXiv preprint arXiv:math/9909201},
year = {2007}
}