Number theory

This book describes a novel approach to the study of Siegel modular forms of degree two with paramodular level.

Theory of Categories

Bounded Analytic Functions

This book concentrates on the modern theory of dynamical systems and its interactions with number theory and combinatorics.

'The book is mainly addressed to the non-expert reader, in that it assumes only a little background in complex analysis and algebraic geometry, but no previous knowledge in transcendental number theory is required.

Modular forms are tremendously important in various areas of mathematics, from number theory and algebraic geometry to combinatorics and lattices.

An Introduction to Variational Inequalities and Their Applications

This book gathers carefully chosen selection tests proposed to IMO (International Mathematical Olympiad) teams across many countries.

A beginning graduate level treatment of elliptic functions with a huge array of examples, first published in 2006.

Congruences are ubiquitous in computer science, engineering, mathematics, and related areas.

Regularity Techniques for Elliptic PDEs and the Fractional Laplacian presents important analytic and geometric techniques to prove regularity estimates for solutions to second order elliptic equations, both in divergence and nondivergence form, and to nonlocal equations driven by the fractional Laplacian.

This book considers the so-called Unlikely Intersections, a topic that embraces well-known issues, such as Lang's and Manin-Mumford's, concerning torsion points in subvarieties of tori or abelian varieties.

This is the first introductory book on multiple zeta functions and multiple polylogarithms which are the generalizations of the Riemann zeta function and the classical polylogarithms, respectively, to the multiple variable setting.

This handbook focuses on some important topics from Number Theory and Discrete Mathematics.

This volume contains original research articles, survey articles and lecture notes related to the Computations with Modular Forms 2011 Summer School and Conference, held at the University of Heidelberg.

The Lie Theory Workshop, founded by Joe Wolf (UC, Berkeley), has been running for over two decades.

Based on lectures given by Davenport at the University of Michigan in the early 1960s.

A much-needed monograph on the metamathematics of first-order arithmetic, paying particular attention to fragments of Peano arithmetic.

This volume will be of lasting value to students and researchers working in this area.

This volume contains selected refereed papers based on lectures presented at the 'Integers Conference 2007', an international conference in combinatorial number theory that was held in Carrollton, Georgia in October 2007.

Matrix Methods: Applied Linear Algebra and Sabermetrics, Fourth Edition, provides a unique and comprehensive balance between the theory and computation of matrices.

Graph models are extremely useful for almost all applications and applicators as they play an important role as structuring tools.

Mathematics is very much a part of our culture; and this invaluable collection serves the purpose of developing the branches involved, popularizing the existing theories and guiding our future explorations.

Theta functions were studied extensively by Ramanujan.

This book contains several fundamental ideas that are revived time after time in different guises, providing a better understanding of algebraic geometric phenomena.

Introduction to the Theory of Entire Functions

Topology

This volume introduces an entirely new pseudodifferential analysis on the line, the opposition of which to the usual (Weyl-type) analysis can be said to reflect that, in representation theory, between the representations from the discrete and from the (full, non-unitary) series, or that between modular forms of the holomorphic and substitute for the usual Moyal-type brackets.

This textbook covers a wide array of topics in analytic and multiplicative number theory, suitable for graduate level courses.

Discover how zeta and L-functions have shaped the development of major parts of mathematics over the past two centuries.

The text that comprises this volume is a collection of surveys and original works from experts in the fields of algebraic number theory, analytic number theory, harmonic analysis, and hyperbolic geometry.

This book provides the latest competing research results on non-commutative harmonic analysis on homogeneous spaces with many applications.

Designed for an undergraduate course or for independent study, this text presents sophisticated mathematical ideas in an elementary and friendly fashion.

This book presents cutting-edge research, advanced techniques, and practical applications of Algebra Analysis and Topology.

This volume presents modern trends in the area of symmetries and their applications based on contributions from the workshop "e;Lie Theory and Its Applications in Physics"e;, held near Varna, Bulgaria, in June 2015.

Keine ausführliche Beschreibung für "Invariante Kennzeichnung relativ-abelscher Zahlkörper mit Vorgegebener Galoisgruppe über einem Teilkörper des Grundkörpers" verfügbar.

Requiring no more than a basic knowledge of abstract algebra, this textbook presents the basics of algebraic number theory in a straightforward, "e;down-to-earth"e; manner.

This volume brings together recent, original research and survey articles by leading experts in several fields that include singularity theory, algebraic geometry and commutative algebra.

This book presents the most up-to-date and sophisticated account of the theory of Euclidean lattices and sequences of Euclidean lattices, in the framework of Arakelov geometry, where Euclidean lattices are considered as vector bundles over arithmetic curves.

Arithmetic geometry and algebraic dynamical systems are flourishing areas of mathematics.

This book is the outcome of research initiatives formed during the special ``Research Trimester on Multiple Zeta Values, Multiple Polylogarithms, and Quantum Field Theory' at the ICMAT (Instituto de Ciencias Matematicas, Madrid) in 2014.

Effective Polynomial Computation is an introduction to the algorithms of computer algebra.

An introduction to the analytic theory of automorphic forms in the case of fuchsian groups.