On a Gross conjecture over imaginary quadratic fields

Saad El Boukhari

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arXiv · 2302.04049

On a Gross conjecture over imaginary quadratic fields

Saad El Boukhari

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Abstract

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 $6$.

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Saad El Boukhari. 2023-02-08. On a Gross conjecture over imaginary quadratic fields. https://arxiv.org/abs/2302.04049

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