Generalization of the "Stark unit" for abelian L-functions with multiple zeros

Details Generalization of the "Stark unit" for abelian L-functions with multiple zeros Generalization of the "Stark unit" for abelian L-functions with multiple zeros

2008-12-14

arxiv.org/abs/0812.2649v1

Mathematics

Number Theory

Scientific paper

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.

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