Michael E. Henderson
International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
Paper
Indefinite quadratic forms and Eisenstein series
Abstract
We use geometric algebra and the theory of automorphic forms to realize theta series attached to an indefinite quadratic form as the sum of a specific Eisenstein series and an L2-function. From this we obtain explicit formulas for the measure of the representation of an integer by an indefinite quadratic form.