Title: Trends in number theory
Description: 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.
Subjects: Number theory -- Discontinuous groups and automorphic forms -- Modular and automorphic functions, Number theory -- Arithmetic algebraic geometry (Diophantine geometry) -- Elliptic curves over global fields, Number theory -- Arithmetic algebraic geometry (Diophantine geometry) -- Curves of arbitrary genus or genus $\ne 1$ over global fields, Field theory and polynomials -- Field extensions -- Inverse Galois theory, Number theory, Number theory -- Discontinuous groups and automorphic forms -- Forms of half-integer weight; nonholomorphic modular forms, Congresses, Number theory -- Sequences and sets -- Binomial coefficients; factorials; $q$-identities, Group theory and generalizations -- Semigroups -- Commutative semigroups, Algebraic geometry -- (Co)homology theory -- Differentials and other special sheaves; D-modules; Bernstein-Sato ideals and polynomials, Group theory and generalizations -- Representation theory of groups -- Representations of finite groups of Lie type, Associative rings and algebras -- Hopf algebras, quantum groups and related topics -- Hopf algebras and their applications