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Sun, Hae-sang
Number Theory Group
Research Interests
  • Zeta function, L-function, mu invariant, indivisibility of special L-values

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The special values of Dirichlet L-functions as an analogue of the Iwasawa power series

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Title
The special values of Dirichlet L-functions as an analogue of the Iwasawa power series
Author
Sun, Hae-sang
Issue Date
2014-02
Publisher
WALTER DE GRUYTER & CO
Citation
JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK, v.687, no. , pp.207 - 223
Abstract
For two different prime numbers p and l, the special values of Dirichlet L-functions in a finite field of characteristic p are considered as a function on the l-power roots of unity, which is an analogue of the Iwasawa power series. In this setting, we prove various properties of these functions, for example, transcendence and linear independence over rational functions, which are non-equal characteristic analogues of the results of Angles-Ranieri [Ann. Inst. Fourier (Grenoble) 60 (2010), no. 5, 1831-1855] and the author [Proc. Amer. Math. Soc. 138 (2010), no. 6, 1955-1963].
URI
https://scholarworks.unist.ac.kr/handle/201301/17054
URL
http://www.degruyter.com/dg/viewarticle/j$002fcrelle.2014.2014.issue-687$002fcrelle-2012-0050$002fcrelle-2012-0050.xml
DOI
10.1515/crelle-2012-0050
ISSN
0075-4102
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