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http://dx.doi.org/10.5831/HMJ.2010.32.4.791

CONGRUENCES OF L-VALUES FOR CYCLIC EXTENSIONS

Lee, Joon-Gul (Department of Mathematics Education, Hongik University)

Publication Information

Honam Mathematical Journal / v.32, no.4, 2010 , pp. 791-795 More about this Journal

Abstract

We study the consequences of Gross's conjecture for cyclic extensions of degree $l^2$ where l is prime, and deduce that the L-values at s = 0 satisfy certain congruence relations.

Keywords

Stickelberger element; Abelian L-functions; Gross's conjecture; Class numbers;

Citations & Related Records

Reference

1	David Burns and Joongul Lee. On the refined class number formula of Gross. J. Number Theory, 107(2):282-286, 2004. DOI ScienceOn
2	Pierre Deligne and Kenneth A. Ribet. Values of abelian L-functions at negative integers over totally real fields. Invent. Math., 59(3):227-286, 1980. DOI
3	Benedict H. Gross. On the values of abelian L-functions at s = 0. J. Fac. Sci. Univ. Tokyo Sect. IA Math., 35(1):177-197, 1988.