Number theory

Introduction to Diophantine approximation and equations focusing on Schmidt''s subspace theorem, with applications to transcendence.

A comprehensive treatment of block theory, emphasising cornerstones of the area which have not appeared in any book before.

A concise and comprehensive introduction to trace formula methods in the study of Shimura varieties and associated Galois representations.

This volume presents the proceedings of two major international meetings on mathematical logic held in Münster, Germany, in August 2002.

A concise and comprehensive introduction to trace formula methods in the study of Shimura varieties and associated Galois representations.

A step-by-step guide to Langlands'' early work leading up the Langlands Program for mathematicians and advanced students.

Volume 2 of a two-volume introduction to the analytical aspects of automorphic forms, featuring proofs of critical results with examples.

Comprehensive coverage of recent, exciting developments in Fourier restriction theory, including applications to number theory and PDEs.

The continuation of an outstanding scholarly attempt to bring together all significant mathematical constants in one place.

Comprehensive coverage of recent, exciting developments in Fourier restriction theory, including applications to number theory and PDEs.

A comprehensive treatment of block theory, emphasising cornerstones of the area which have not appeared in any book before.

Many of the best researchers and writers in discrete mathematics come together in a volume inspired by Ron Graham.

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

A comprehensive treatment of block theory, emphasising cornerstones of the area which have not appeared in any book before.

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

Many of the best researchers and writers in discrete mathematics come together in a volume inspired by Ron Graham.

A comprehensive treatment of block theory, emphasising cornerstones of the area which have not appeared in any book before.

This book highlights the many ideas and algorithms that Peter L.

This book highlights the many ideas and algorithms that Peter L.

This book investigates the influence of the graph of a symmetric matrix on the multiplicities of its eigenvalues.

A sweeping classification theory for computational counting problems using new techniques and theories.

A sweeping classification theory for computational counting problems using new techniques and theories.

A self-contained exposition of local class field theory for students in advanced algebra.

A self-contained exposition of local class field theory for students in advanced algebra.

A snapshot of the major renaissance happening today in the study of locally compact groups and their many applications.

Provides a comprehensive introduction to the theory of random orthogonal, unitary, and symplectic matrices.

Volume 1 of a two-volume introduction to the analytical aspects of automorphic forms, featuring proofs of critical results with examples.

Volume 1 of a two-volume introduction to the analytical aspects of automorphic forms, featuring proofs of critical results with examples.

This second volume of two presents analytic equivalents to the Riemann hypothesis.

This first volume of two presents classical and modern arithmetic equivalents to the Riemann hypothesis.

A thorough guide to elliptic functions and modular forms that demonstrates the relevance and usefulness of historical sources.

A thorough guide to elliptic functions and modular forms that demonstrates the relevance and usefulness of historical sources.

Detailed exposition of automorphic representations and their relation to string theory, for mathematicians and theoretical physicists.

Provides a novel interdisciplinary perspective on the state of the art of ultrametric pseudodifferential equations and their applications.

A graduate-level introduction to some of the important contemporary ideas and problems in the theory of moduli spaces.

A graduate-level introduction to some of the important contemporary ideas and problems in the theory of moduli spaces.

An exposition of the theory of curves over a finite field, and connections to the Riemann Hypothesis for function fields.

An exposition of the theory of curves over a finite field, and connections to the Riemann Hypothesis for function fields.

Now available in paperback for the first time; essential reading for all students of probability theory.

Now available in paperback for the first time; essential reading for all students of probability theory.

This comprehensive overview of lattice sums is long overdue for a topic that is important in diverse areas of science.

This comprehensive overview of lattice sums is long overdue for a topic that is important in diverse areas of science.

An authoritative reference and the first comprehensive treatment of the singularities of the minimal model program.

An authoritative reference and the first comprehensive treatment of the singularities of the minimal model program.

Characterizes certain multiplicative and additive arithmetical functions by combining methods from number theory with simple ideas from functional and harmonic analysis.

The second volume of a comprehensive treatise.

An overview of special functions, focusing on the hypergeometric functions and the associated hypergeometric series.

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

Lecture notes and research articles on the use of torsors and étale homotopy in algebraic and arithmetic geometry.

Lecture notes and research articles on the use of torsors and étale homotopy in algebraic and arithmetic geometry.