On special elements in higher algebraic K-theory and the Lichtenbaum-Gross Conjecture

被引：3
作者：
Burns, David [2 ]
de Jeu, Rob [3 ]
Gangl, Herbert [1 ]
机构：
[1] Univ Durham, Dept Math Sci, Durham DH1 3LE, England
[2] Kings Coll London, Dept Math, London WC2R 2LS, England
[3] Vrije Univ Amsterdam, Fac Exacte Wetenschappen, NL-1081 HV Amsterdam, Netherlands
来源：
ADVANCES IN MATHEMATICS | 2012年 / 230卷 / 03期
关键词：
Number field; Algebraic K-theory; Regulator; Artin L-function; GALOIS STRUCTURE; LEADING TERMS; L-SERIES; VALUES; RINGS;
D O I：
10.1016/j.aim.2012.03.014
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We conjecture the existence of special elements in odd degree higher algebraic K-groups of number fields that are related in a precise way to the values at strictly negative integers of the derivatives of Artin L-functions of finite dimensional irreducible complex representations. We prove this conjecture for an important family of examples and also provide other evidence (both theoretical and numerical) in its support. (C) 2012 Elsevier Inc. All rights reserved.
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页码：1502 / 1529
页数：28
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