• Mathematics
  • Published 2005

Artin L-functions for abelian extensions of imaginary quadratic fields.

  title={Artin L-functions for abelian extensions of imaginary quadratic fields.},
  author={Jennifer Michelle Johnson},
Let F be an abelian extension of an imaginary quadratic field K with Galois group G. We form the Galois-equivariant L-function of the motive h(Spec F)(j) where the Tate twists j are negative integers. The leading term in the Taylor expansion at s=0 decomposes over the group algebra Q[G] into a product of Artin L-functions indexed by the characters of G. We construct a motivic element via the Eisenstein symbol and relate the L-value to periods via regulator maps. Working toward the equivariant… CONTINUE READING


Publications citing this paper.


Publications referenced by this paper.

An introduction to the theory of p-adic representations, Geometric aspects of Dwork theory

L. Berger
  • 2004

Lecture on motives, Transcendental aspects of algebraic cycles

J. Murre
  • London Math. Soc. Lecture Note Ser.,
  • 2004

Wildeshaus, Classical Polylogarithms according to Beilinson and Deligne

J. A. Huber
  • Documenta Mathematica
  • 1998