TN - Teoria de Nombres
Col·leccions
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Altres [1]
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Articles de revista [58]
Enviaments recents
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Stark points and p-adic iterated integrals attached to modular forms of weight one
(Cambridge University Press, 2015-01-01)
Article
Accés obertLet be an elliptic curve over , and let and be odd two-dimensional Artin representations for which is self-dual. The progress on modularity achieved in recent decades ensures the existence of normalized eigenforms , , and ... -
Beilinson-Flach elements and Euler systems II: p-adic families and the Birch and Swinnerton-Dyer conjecture
(2015-03-23)
Article
Accés obertLet E be an elliptic curve over Q and let % be an odd, irreducible twodimensional Artin representation. This article proves the Birch and Swinnerton-Dyer conjecture in analytic rank zero for the Hasse-WeilArtin L-series ... -
Gross-Stark units and p-adic iterated integrals attached to modular forms of weight one
(2016-08-01)
Article
Accés obertThis article can be read as a companion and sequel to the authors’ earlier article on Stark points and p-adic iterated integrals attached to modular forms of weight one, which proposes a conjectural expression for the ... -
Elliptic curves of rank two and generalized Kato classes
(2016-08-24)
Article
Accés obertHeegner points play an outstanding role in the study of the Birch and Swinnerton-Dyer conjecture, providing canonical Mordell–Weil generators whose heights encode first derivatives of the associated Hasse–Weil L-series. ... -
On the rank and the convergence rate toward the Sato-Tate measure
(2017-10-16)
Article
Accés restringit per política de l'editorialLet A be an abelian variety defined over a number field and let G denote its Sato–Tate group. Under the assumption of certain standard conjectures on L -functions attached to the irreducible representations of G, we study ... -
Stark points and the Hida-Rankin p-adic L-function
(2018-02)
Article
Accés restringit per política de l'editorialThis article is devoted to the elliptic Stark conjecture formulated by Darmon (Forum Math Pi 3:e8, 2015), which proposes a formula for the transcendental part of a p-adic avatar of the leading term at s=1 of the Hasse–Weil–Artin ... -
On the Sato-Tate conjecture for non-generic abelian surfaces
(2017-01)
Article
Accés obertWe prove many non-generic cases of the Sato-Tate conjecture for abelian surfaces as formulated by Fité, Kedlaya, Rotger and Sutherland, using the potential automorphy theorems of Barnet-Lamb, Gee, Geraghty and Taylor. -
Diagonal cycles and Euler systems II: the Birch and Swinnerton-Dyer conjecture for Hasse-Weil-Artin L-functions
(2017-07-01)
Article
Accés restringit per política de l'editorialThis article establishes new cases of the Birch and Swinnerton-Dyer conjecture in analytic rank 0, for elliptic curves over $ \mathbb{Q}$ viewed over the fields cut out by certain self-dual Artin representations of dimension ... -
Constraints on the automorphism group of a curve
(2017-01-01)
Article
Accés obertFor a curve of genus > 1 defined over a finite field, we present a sufficient criterion for the non-existence of automorphisms of order a power of a rational prime. We show how this criterion can be used to determine the ... -
Automorphism group of split Cartan modular curves
(2016-08-01)
Article
Accés obert -
Functions and differentials on the non-split Cartan modular curve of level 11
(2017-01-01)
Article
Accés obertThe genus 4 modular curve Xns(11) attached to a non-split Cartan group of level 11 admits a model defined over Q. We compute generators for its function field in terms of Siegel modular functions. We also show that its ... -
30 anys del Seminari de Teoria de Nombres de Barcelona, STNB 2016
(Societat Catalana de Matemàtiques (SCM), 2016-07)
Article
Accés obert
Realitzat a/amb: Universitat de Barcelona
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