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

R.M.H. de Jeu, D. Burns, H. Gangl

Research output: Contribution to JournalArticleAcademicpeer-review

Abstract

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. © 2012 Elsevier Ltd.
Original languageEnglish
Pages (from-to)1502-1529
Number of pages28
JournalAdvances in Mathematics
Volume230
Issue number3
DOIs
Publication statusPublished - 2012

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