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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...

$p$ -adic interpolation of logarithmic derivatives associated to certain Lubin-Tate formal groups

John L. Boxall (1986)

Annales de l'institut Fourier

The purpose of this paper is to generalize, to certain commutative formal groups of dimension one and height greater than one defined over the ring of integers of a finite extension of $Q_{p}$ , some results on $p$ -adic interpolation developed by Kubota, Leopoldt, Iwasawa, Mazur, Katz and others notably for the multiplicative group ${\hat{G}}_{m}$ , and which they used to construct $p$ -adic $L$ -functions.

Currently displaying 1 – 20 of 22

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Displaying 1 – 20 of 22

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

$p$ -adic interpolation of logarithmic derivatives associated to certain Lubin-Tate formal groups

$p$ -adic interpolation of special values of Hecke L-functions

$p$ -adic $L$ -functions attached to characters of $p$ -power order

$p$ -adic $L$ -functions for elliptic curves with complex multiplication I

$p$ -adic $L$ -functions for modular forms

$p$ -adic representations arising from descent on abelian varieties

$p$ -адические ряды Гекке мнимых квадратичных полей

p-adic Distributions Associated to Heegner Points on Modular Curves.

p-adic height pairings. II.

p-adic L-functions and p-adic periods of modular forms.

p-Adic L-Functions for CM Fields.

p-adic measures on Galois groups.

Points de Heegner et derivées de fonctions L p-adiques.

Poles of a local zeta function and Newton polygons

Poles of Igusa's local zeta function and monodromy

Prolongement analytique des sommes de Gauss, I

Prolongement analytique des sommes de Gauss, II

Prolongement analytique des sommes de Gauss, III

Pseudo-Mesures p-adiques associées aux fonctions L de ...

Currently displaying 1 – 20 of 22