Chamizo F., Guàrdia J., Rojas-León A., Tornero J.M. (eds.) Trends in Number Theory

American Mathematical Society, Real Sociedad Matemática Española, 2015. — 256 p. — (Contemporary Mathematics. Vol. 649). — ISBN 978-0-8218-9858-1.This volume contains the proceedings of the Fifth Spanish Meeting on Number Theory, held from July 8–12, 2013, at the Universidad de Sevilla, Sevilla, Spain. The articles contained in this book give a panoramic vision of the current research in number theory, both in Spain and abroad. Some of the topics covered in this volume are classical algebraic number theory, arithmetic geometry, and analytic number theory.Preface
List of Participants
Automorphic Galois Representations and the Inverse Galois Problem
Sara Arias-de-Reyna.
Two Mayer-Vietoris Spectral Sequences for 𝒟-modules
Alberto Castaño Domínguez.
From Galois to Hopf Galois: Theory and Practice
T. Crespo, A. Rio, and M. Vela.
Elliptic Curves with Torsion Group ℤ/8ℤ or ℤ/2ℤ × ℤ/6ℤ
Andrej Dujella and Juan Carlos Peral.
Equidistribution, L-functions, and Sato-Tate Groups
Francesc Fité.
Covering Techniques and Rational Points on Some Genus 5 Curves
Enrique González-Jiménez.
On Quantum Integers and Rationals
Bernard Le Stum and Adolfo Quirós.
A Space of Weight 1 Modular Forms Attached to Totally Real Cubic Number Fields
Guillermo Mantilla-Soler.
Characterization of Gaps and Elements of a Numerical Semigroup Using Groebner Bases
Guadalupe Márquez-Campos and José M. Tornero.
Classification des représentations modulaires de GLₙ(q) en caractéristique non naturelle
Alberto Mínguez and Vincent Sécherre.
Fractional p-adic Differentiability Under the Amice Transform
Enno Nagel.
Reciprocity Laws Related to Finite Potent Endomorphisms
Fernando Pablos Romo.
When the Modular World Becomes Non-Holomorphic
Dulcinea Raboso.True PDF