On special elements in higher algebraic K-theory and the   Lichtenbaum-Gross Conjecture
  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. 
David Burns, Herbert Gangl and Rob de Jeu
math.NT math.KT