Higher regularizations for zeros of cuspidal automorphic L-functions of GL_d

Abstract

We establish "higher depth" analogues of regularized determinants due to Milnor for zeros of cuspidal automorphic L-functions of GL_d over a general number field. This is a generalization of the result of Deninger about the regularized determinant for zeros of the Riemann zeta function.

13 pages, 1 figure. The title of the previous versions is "Hecke's zeros and higher depth determinants"

Cited by in corpus (1)

• Milnor-Selberg zeta functions and zeta regularizations