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arXiv · 0812.2649

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

Maria Vlasenko
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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.

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Maria Vlasenko. 2008-12-14. Generalization of the "Stark unit" for abelian L-functions with multiple zeros. https://arxiv.org/abs/0812.2649

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