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arXiv · 1101.5477

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

David Burns·Herbert Gangl·Rob de Jeu
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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 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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David Burns, Herbert Gangl, Rob de Jeu. 2011-01-28. On special elements in higher algebraic K-theory and the Lichtenbaum-Gross Conjecture. https://arxiv.org/abs/1101.5477

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