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.
|Number of pages||28|
|Journal||Advances in Mathematics|
|Publication status||Published - 2012|