Generalization of the "Stark unit" for abelian L-functions with multiple zeros
Number Theory
2008-12-16 v1
Abstract
For an abelian extension of number fields we show that the Stark conjecture for all Artin L-functions with zero of order r is equivalent to existence of a special element in the rational span of the r-th exterior power of the Galois module of units of the bigger field.
Keywords
Cite
@article{arxiv.0812.2649,
title = {Generalization of the "Stark unit" for abelian L-functions with multiple zeros},
author = {Maria Vlasenko},
journal= {arXiv preprint arXiv:0812.2649},
year = {2008}
}