CONGRUENCES OF L-VALUES FOR CYCLIC EXTENSIONS

• Journal title : Honam Mathematical Journal
• Volume 32, Issue 4,  2010, pp.791-795
• Publisher : The Honam Mathematical Society
• DOI : 10.5831/HMJ.2010.32.4.791
Title & Authors
CONGRUENCES OF L-VALUES FOR CYCLIC EXTENSIONS
Lee, Joon-Gul;

Abstract
We study the consequences of Gross's conjecture for cyclic extensions of degree $\small{l^2}$ 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;
Language
English
Cited by
1.
CHARACTERIZATION OF A CYCLIC GROUP RING IN TERMS OF CHARACTER VALUES, Communications of the Korean Mathematical Society, 2015, 30, 1, 1
References
1.
David Burns and Joongul Lee. On the refined class number formula of Gross. J. Number Theory, 107(2):282-286, 2004.

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.

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.