Trends in Number Theory

Fernando Chamizo, Universidad Autonoma de Madrid, Spain. Jordi Guardia, Universitat Politecnica de Catalunya, Vilanova I La Geltru, Spain. Antonio Rojas-Leon and Jose Maria Tornero, Universidad de Sevilla, Spain.

Automorphic Galois representations and the inverse Galois problem by S. Arias-de-Reyna
Two Mayer-Vietoris spectral sequences for $/mathcal{D}$-modules by A. C. Dominguez
From Galois to Hopf Galois: Theory and practice by T. Crespo, A. Rio, and M. Vela
Elliptic curves with torsion group $/mathbb{Z}/8/mathbb{Z}$ or $/mathbb{Z}/2/mathbb{Z} /times /mathbb{Z}/6/mathbb{Z}$ by A. Dujella and J. C. Peral
Equidistribution, $L$-functions, and Sato-Tate groups by F. Fite
Covering techniques and rational points on some genus 5 curves by E. Gonzalez-Jimenez
On quantum integers and rationals by B. Le Stum and A. Quiros
A space of weight 1 modular forms attached to totally real cubic number fields by G. Mantilla-Soler
Characterization of gaps and elements of a numerical semigroup using Groebner bases by G. Marquez-Campos and J. M. Tornero
Classification des representations modulaires de $GL_n(q)$ caracteristique non naturelle by A. Minguez and V. Secherre
Fractional $p$-adic differentiability under the Amice transform by E. Nagel
Reciprocity laws related to finite potent endomorphisms by F. P. Romo
When the modular world becomes non-holomorphic by D. Raboso