Publication: Averages of values of L-series
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KU Authors
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Ono, Ken
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NO
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Abstract
We obtain an exact formula for the average of values of L-series over two independent odd characters. The average of any positive moment of values at s = 1 is then expressed in terms of finite cotangent sums subject to congruence conditions. As consequences, bounds on such cotangent sums, limit points for the average of first moment of L-series at s = 1 and the average size of positive moments of character sums related to the class number are deduced.
Source
Publisher
American Mathematical Society (AMS)
Subject
Mathematics, Applied mathematics
Citation
Has Part
Source
Proceedings of the American Mathematical Society
Book Series Title
Edition
DOI
10.1090/S0002-9939-2012-11506-0