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

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

2009-09-27

arxiv.org/abs/0909.4925v3

J. Theor. Nombres Bordeaux, 23 (2011) No. 3, 751-767

Mathematics

Number Theory

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

Scientific paper

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.

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