On distribution formulas for complex and $\ell$-adic polylogarithms
, 2020 We study an $\ell$-adic Galois analogue of the distribution formulas for polylogarithms with special emphasis on path dependency and arithmetic behaviors.
H Gangl +6 more
core +1 more source
Elliptic curves with maximal Galois action on their torsion points
, 2008 Given an elliptic curve E over a number field k, the Galois action on the torsion points of E induces a Galois representation, \rho_E : Gal(\bar{k}/k) \to GL_2(\hat{Z}).
Zywina, David
core +2 more sources
Abelian varieties over large algebraic fields with infinite torsion [PDF]
, 2010 Let A be an abelian variety of positive dimension defined over a number field K and let Kbar be a fixed algebraic closure of K. For each element sigma of the absolute Galois group Gal(Kbar/K), let Kbar(sigma) be the fixed field of sigma in Kbar. We shall
Zywina, David
core
Filtrations of dc-weak eigenforms
, 2017 The notions of strong, weak and dc-weak eigenforms mod $p^n$ was introduced and studied by Chen, Kiming and Wiese. In this work, we prove that there can be no uniform weight bound (that is, depending only on $p$, $n$) on dc-weak eigenforms mod $p^n$ of ...
Rustom, Nadim
core +1 more source
Cardiac Arrest Induced by Asphyxia Versus Ventricular Fibrillation Elicits Comparable Early Changes in Cytokine Levels in the Rat Brain, Heart, and Serum. [PDF]
J Am Heart Assoc, 2021 Uray T +8 more
europepmc +1 more source
Recovering modular forms and representations from tensor and symmetric powers
, 2004 We consider the problem of determining the relationship between two representations knowing that some tensor or symmetric power of the original represetations coincide.
Rajan, C. S.
core +1 more source
Fontaine-Laffaille modules and strongly divisible modules
, 2019 In this note, we study the relation between Fontaine-Laffaille modules and strongly divisible modules, without assuming the main theorem of Fontaine-Laffaille (but we need to assume the main results concerning strongly divisible modules).
Gao, Hui
core
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