Représentations p-adiques et équations différentielles

L Berger - Inventiones mathematicae, 2002 - Springer
In this paper, we associate to every p-adic representation V ap-adic differential equation D†
rig (V), that is to say a module with a connection over the Robba ring. We do this via the …

Study of decays involving kaons, spectral functions and determination of the strange quark mass

ALEPH collaboration, R Barate - … Physical Journal C-Particles and Fields, 1999 - Springer
All ALEPH measurements of branching ratios of τ decays involving kaons are summarized
including a combination of results obtained with K^0_S and K^0_L detection. The decay …

p-adic L-functions and Euler systems: a tale in two trilogies

M Bertolini, F Castella, H Darmon… - … forms and Galois …, 2014 - books.google.com
p-adic L-functions and Euler systems: a tale in two trilogies Page 63 3 p -adic L -functions and
Euler systems: a tale in two trilogies Massimo Bertolini, Francesc Castella, Henri Darmon, Samit …

[图书][B] The eigenbook: eigenvarieties, families of Galois representations, p-adic L-functions

J Bellaïche - 2021 - books.google.com
​ This book discusses the p-adic modular forms, the eigencurve that parameterize them,
and the p-adic L-functions one can associate to them. These theories and their …

Bloch and Kato's exponential map: three explicit formulas

L Berger - Doc. Math, 2003 - content.ems.press
The purpose of this article is to give formulas for Bloch-Kato's exponential map and its dual
for an absolutely crystalline padic representation V, in terms of the (ϕ, Γ)-module associated …

[图书][B] Introduction to modern number theory

YI Manin, AA Panchishkin - 2005 - Springer
The present book is a new revised and updated version of “Number Theory I. Introduction to
Number Theory” by Yu. I. Manin and AA Panchishkin, appeared in 1989 in Moscow (VINITI …

La conjecture de Birch et Swinnerton-Dyer p-adique

P Colmez - ASTERISQUE-SOCIETE MATHEMATIQUE DE …, 2004 - numdam.org
Si M est un motif défini sur un corps de nombres, on sait lui associer (au moins
conjecturalement) une fonction analytique complexe L (M, s) définie par un produit eulérien …

p-adic L-functions and rational points on CM elliptic curves at inert primes

AA Burungale, S Kobayashi, K Ota - … of the Institute of Mathematics of …, 2024 - cambridge.org
Let K be an imaginary quadratic field and $ p\geq 5$ a rational prime inert in K. For a
$\mathbb {Q} $-curve E with complex multiplication by $\mathcal {O} _K $ and good …

The p-adic Gross-Zagier formula for elliptic curves at supersingular primes

S Kobayashi - Inventiones mathematicae, 2013 - Springer
Let p be a prime number and let E be an elliptic curve defined over ℚ of conductor N. Let K
be an imaginary quadratic field with discriminant prime to pN such that all prime factors of N …

An introduction to the theory of p-adic representations

L Berger - Geometric aspects of Dwork theory, 2004 - degruyter.com
This informal article is an expanded version of two lectures given in Padova during the
“Dwork Trimester” in June 2001. Their goal was to explain the proof of the p-adic …