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arXiv:2302.04049 [math.NT]AbstractReferencesReviewsResources

On a Gross conjecture over imaginary quadratic fields

Saad El Boukhari

Published 2023-02-08Version 1

Let $k$ be an imaginary quadratic number field, and $F/k$ a finite abelian extension of Galois group $G$. We show that a Gross conjecture concerning the leading terms of Artin $L$-series holds for $F/k$ and all rational primes which are split in $k$ and which do not divide $6$.

Comments: 17 pages
Categories: math.NT
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