A generalization of Greenberg's L-invariant

D Benois - American journal of mathematics, 2011 - muse.jhu.edu
Using the theory of $(\phi,\Gamma) $-modules we generalize Greenberg's construction of
the $\cal {L} $-invariant to $ p $-adic representations which are semistable at $ p $.\This …

Iwasawa theory for the symmetric square of a modular form

D Loeffler, SL Zerbes - Journal für die reine und angewandte …, 2019 - degruyter.com
Iwasawa theory for the symmetric square of a modular form Skip to content Should you have
institutional access? Here's how to get it ... De Gruyter € EUR - Euro £ GBP - Pound $ USD …

On Extra Zeros of p-Adic L-Functions: The Crystalline Case

D Benois - Iwasawa Theory 2012: State of the Art and Recent …, 2014 - Springer
We formulate a conjecture about extra zeros of p-adic L-functions at near central points
which generalizes the conjecture formulated in Benois (Am J Math 133: 1573–1632, 2011) …

The exceptional zero conjecture for Hilbert modular forms

CP Mok - Compositio Mathematica, 2009 - cambridge.org
Using a p-adic analogue of the convolution method of Rankin–Selberg and Shimura, we
construct the two-variable p-adic L-function of a Hida family of Hilbert modular eigenforms of …

Iwasawa invariants for symmetric square representations

A Ray, R Sujatha, V Vatsal - Research in the Mathematical Sciences, 2023 - Springer
Let p≥ 5 be a prime, and pa prime of Q¯ above p. Let g 1 and g 2 be p-ordinary, p-
distinguished and p-stabilized cuspidal newforms of nebentype characters ϵ 1, ϵ 2 …

P-adic L-functions for GL (3)

D Loeffler, C Williams - arXiv preprint arXiv:2111.04535, 2021 - arxiv.org
Let $\Pi $ be a regular algebraic cuspidal automorphic representation of $\mathrm {GL} _3
(\mathbb {A} _ {\mathbb {Q}}) $. When $\Pi $ is $ p $-ordinary for the maximal standard …

[PDF][PDF] The Maass–Shimura differential operators and congruences between arithmetical Siegel modular forms

AA Panchishkin - Moscow Mathematical Journal, 2005 - scholar.archive.org
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 …

Variation of the analytic ‐invariant over a solvable extension

D Delbourgo - Proceedings of the London Mathematical …, 2020 - Wiley Online Library
Fix an odd prime p, and suppose that D∞=⋃ n D n is a solvable p‐adic Lie extension of the
rationals, such that Gal (D n/Q)≅(Z/pn′ Z) g⋊(Z/pn Z)× for some g> 0 and n′⩽ n. In …

A formula for the derivative of the p-adic L-function of the symmetric square of a finite slope modular form

G Rosso - American Journal of Mathematics, 2016 - muse.jhu.edu
Let $ f $ be a modular form of weight $ k $ and Nebentypus $\psi $. By generalizing a
construction of Dabrowski and Delbourgo, we construct a $ p $-adic $ L $-function …

Valeurs spéciales de fonctions L de formes modulaires adéliques

J Puydt - 2003 - theses.hal.science
On étudie les valeurs spéciales de fonctions $ L $ attachées aux formes modulaires, tordues
par des caractères de Dirichlet de conducteur arbitraire. On construit des distributions à …