Higher regularizations of zeros of cuspidal automorphic L-functions of GLd

Masato Wakayama; Yoshinori Yamasaki

doi:10.5802/jtnb.785

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

Masato Wakayama, Yoshinori Yamasaki

Research output: Contribution to journal › Article › peer-review

1 Citation (Scopus)

Abstract

We establish "higher depth" analogues of regularized determinants due to Milnor for zeros of cuspidal automorphic Lfunctions 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.

Original language	English
Pages (from-to)	751-767
Number of pages	17
Journal	Journal de Theorie des Nombres de Bordeaux
Volume	23
Issue number	3
DOIs	https://doi.org/10.5802/jtnb.785
Publication status	Published - 2011
Externally published	Yes

All Science Journal Classification (ASJC) codes

Algebra and Number Theory

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abstract = "We establish {"}higher depth{"} analogues of regularized determinants due to Milnor for zeros of cuspidal automorphic Lfunctions of GLd 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.",

author = "Masato Wakayama and Yoshinori Yamasaki",

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

Abstract

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