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Schulz, Friedmar

Analysis

International mathematical journal of analysis and its applications


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2196-6753
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On the speed of convergence to limit distributions for Hecke L-functions associated with ideal class characters

Kohji Matsumoto

Citation Information: Analysis. Volume 26, Issue 3, Pages 313–321, ISSN (Online) 2196-6753, ISSN (Print) 0174-4747, DOI: 10.1524/anly.2006.26.99.313, September 2009

Publication History

Received:
2006-02-01
Accepted:
2006-03-18
Published Online:
2009-09-25

We prove an upper bound estimate of the speed of convergence to limit distributions WK(R,χ), in the sense of Bohr and Jessen, for Hecke L-functions associated with ideal class characters. This is a generalization of the author’s former result [8], in which the same estimate has been proved for Dedekind zeta-functions.

Keywords: Hecke L-function; ideal class character; value-distribution; limit theorem; Kronecker–Weyl theorem; Artin–Chebotarev theorem; Lévys inversion formula

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