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$p$ -adic Abelian Stark conjectures at $s = 1$

David Solomon (2002)

Annales de l’institut Fourier

A $p$ -adic version of Stark’s Conjecture at $s = 1$ is attributed to J.-P. Serre and stated (faultily) in Tate’s book on the Conjecture. Building instead on our previous paper (and work of Rubin) on the complex abelian case, we give a new approach to such a conjecture for real ray-class extensions of totally real number fields. We study the coherence of our $p$ -adic conjecture and then formulate some integral refinements, both alone and in combination with its complex analogue. A ‘Weak Combined Refined’ version...

We give an infinite set of distinct monogenic septimic fields whose normal closure has Galois group $P S L (2, 7)$ .

Displaying 1 – 4 of 4

$p$ -adic Abelian Stark conjectures at $s = 1$

Pfaffien et discriminant

Problèmes de construction en multiplication complexe

PSL $(2, 7)$ septimic fields with a power basis

Currently displaying 1 – 4 of 4

Displaying 1 – 4 of 4

p -adic Abelian Stark conjectures at s = 1

Pfaffien et discriminant

Problèmes de construction en multiplication complexe

PSL ( 2 , 7 ) septimic fields with a power basis

Currently displaying 1 – 4 of 4

$p$ -adic Abelian Stark conjectures at $s = 1$

PSL $(2, 7)$ septimic fields with a power basis