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

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

2011-01-28

arxiv.org/abs/1101.5477v1

Mathematics

Number Theory

25 pages

Scientific paper

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 complex representations. We prove this conjecture in certain important cases and also provide other evidence (both theoretical and numerical) in its support.

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