Results 31 to 39 of about 312 (39)

Graded structures and differential operators on nearly holomorphic and quasimodular forms on classical groups

open access: yes, 2016
We wish to use graded structures [KrVu87], [Vu01] on dffierential operators and quasimodular forms on classical groups and show that these structures provide a tool to construct p-adic measures and p-adic L-functions on the corresponding non-archimedean ...
Panchishkin, Alexei
core   +1 more source

Ihara's lemma and level rising in higher dimension

open access: yes, 2019
A key ingredient in the Taylor-Wiles proof of Fermat last theorem is the classical Ihara's lemma which is used to rise the modularity property between some congruent galoisian representations.
Boyer, Pascal
core  

On the vanishing of cohomologies of $p$-adic Galois representations associated with elliptic curves

open access: yes, 2014
Let $K$ be a $p$-adic field and $E$ an elliptic curve over $K$ with potential good reduction. For some large Galois extensions $L$ of $K$ containing all $p$-power roots of unity, we show the vanishing of certain Galois cohomology groups of $L$ with ...
Dimabayao, Jerome T.
core  
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Familles p-adiques de formes automorphes pour GLn

, 2004
In this paper, we give definitions for p-adic automorphic forms on any twisted form of GLn/Q compact at infinity, and we construct the "eigenvariety" of finite slope eigenforms of wild level Γ0(p), at a split place p.
G. Chenevier
semanticscholar   +1 more source

On the μ-invariant of Katz p-adic L-functions attached to imaginary quadratic fields

, 2016
We extend to p = 2 and p = 3 the result of Gillard and Schneps which says that the μ-invariant of Katz p-adic L functions attached to imaginary quadratic elds along the Coates-Wiles Zp-extension is zero for p > 3.
H. Oukhaba, Stéphane Viguié
semanticscholar   +1 more source

The Maass–Shimura Differential Operators and Congruences between Arithmetical Siegel Modular Forms

, 2005
We extend further a new method for constructing p-adic L-functions associated with modular forms (see [55]). For this purpose, we study congruences between nearly holomorphic Siegel modular forms using an explicit action of the Maass–Shimura arithmetical
A. Panchishkin
semanticscholar   +1 more source

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