TY - BOOK AU - Chamizo,Fernando AU - Guardia,Jordi AU - Rojas-Leon,Antonio AU - Tornero,Jose Maria ED - Spanish Meeting on Number Theory TI - Trends in number theory T2 - Contemporary mathematics SN - 9780821898581 (alk. paper) U1 - 510 23 PY - 2015/// CY - Providence : PB - American Mathematical Society KW - Number theory KW - Congresses N1 - Includes bibliographical references; Automorphic Galois representations and the inverse Galois problem -- Two Mayer-Vietoris spectral sequences for D-modules -- From Galois to Hopf Galois: Theory and practice -- Elliptic curves with torsion group -- Equidistribution, L-functions, and Sato-Tate groups -- Covering techniques and rational points on some genus 5 curves -- On quantum integers and rationals -- A space of weight 1 modular forms attached to totally real cubic number fields -- Characterization of gaps and elements of a numerical semigroup using Groebner bases -- Classification des représentations modulaires de GLn(q) caractéristique non naturelle -- Fractional p-adic differentiability under the Amice transform -- Reciprocity laws related to finite potent endomorphisms -- When the modular world becomes non-holomorphic N2 - 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 ER -