Number theory

Graduate text covering the theory of Hardy spaces from its origins to the present, with concrete applications and solved exercises.

Graduate text covering the theory of Hardy spaces from its origins to the present, with concrete applications and solved exercises.

A self-contained introduction to discrete harmonic analysis with an emphasis on the Discrete and Fast Fourier Transforms.

A self-contained introduction to discrete harmonic analysis with an emphasis on the Discrete and Fast Fourier Transforms.

Presents current research in various topics, including homogeneous dynamics, Diophantine approximation and combinatorics.

Presents current research in various topics, including homogeneous dynamics, Diophantine approximation and combinatorics.

Classroom-tested and featuring over 100 exercises, this text introduces the key algebraic geometry field of Hurwitz theory.

Classroom-tested and featuring over 100 exercises, this text introduces the key algebraic geometry field of Hurwitz theory.

This almost self-contained introduction to higher recursion theory is essential reading for all researchers in the field.

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

This book introduces the active area of the model theory of fields, concentrating on connections to stability theory.

The first comprehensive and up-to-date account of discriminant equations and their applications.

The first comprehensive and up-to-date account of discriminant equations and their applications.

Forming the basis of a second course in algebraic geometry, this book explains key ideas, each illustrated with abundant examples.

Forming the basis of a second course in algebraic geometry, this book explains key ideas, each illustrated with abundant examples.

A unified account of a powerful classical method, illustrated by applications in number theory.

A unified account of a powerful classical method, illustrated by applications in number theory.

Describes how to use coherent sheaves and cohomology to prove combinatorial and number theoretical identities over finite fields.

Describes how to use coherent sheaves and cohomology to prove combinatorial and number theoretical identities over finite fields.

Combines cutting-edge research and expository articles in Hodge theory.

Combines cutting-edge research and expository articles in Hodge theory.

A graduate-level introduction to finite classical groups featuring a comprehensive account of the conjugacy and geometry of elements of prime order.

A comprehensive, graduate-level treatment of unit equations and their various applications.

A graduate-level introduction to finite classical groups featuring a comprehensive account of the conjugacy and geometry of elements of prime order.

A comprehensive, graduate-level treatment of unit equations and their various applications.

The world''s leading authorities describe the state of the art in Serre''s conjecture and rational points on algebraic varieties.

Covers extensions of Buchberger''s Theory and Algorithm, and promising recent alternatives to Gröbner bases.

The world''s leading authorities describe the state of the art in Serre''s conjecture and rational points on algebraic varieties.

Covers extensions of Buchberger''s Theory and Algorithm, and promising recent alternatives to Gröbner bases.

This book combines rigorous proofs with commentary on the underlying ideas to provide a rich insight into these mathematical landmarks.

This book combines rigorous proofs with commentary on the underlying ideas to provide a rich insight into these mathematical landmarks.

This book brings the researcher up to date with recent applications of mathematical logic to number theory.

This monograph provides a comprehensive treatment of the theory of pseudo-reductive groups and gives their classification in a usable form.

This monograph provides a comprehensive treatment of the theory of pseudo-reductive groups and gives their classification in a usable form.

This book brings the researcher up to date with recent applications of mathematical logic to number theory.

A graduate-level account of an important recent result concerning the Riemann zeta function.

A graduate-level account of an important recent result concerning the Riemann zeta function.

The first comprehensive introduction to the powerful moment approach for solving global optimization problems.

The first comprehensive introduction to the powerful moment approach for solving global optimization problems.

This book contains survey articles on modern topics related to the work of Harald Niederreiter, written by close colleagues and leading experts.

This book contains survey articles on modern topics related to the work of Harald Niederreiter, written by close colleagues and leading experts.

Part two of a two-volume collection exploring recent developments in number theory related to automorphic forms and Galois representations.

Part one of a two-volume collection exploring recent developments in number theory related to automorphic forms and Galois representations.

Part two of a two-volume collection exploring recent developments in number theory related to automorphic forms and Galois representations.

Part one of a two-volume collection exploring recent developments in number theory related to automorphic forms and Galois representations.

Explores the link between discrepancy theory and randomized algorithms.

This book leads readers from simple number work to the point where they can prove the classical results of elementary number theory for themselves.

A graduate text providing a brisk, thorough treatment of the foundations of algebraic number theory.

This is a modern introduction to the analytic techniques used in the investigation of zeta functions through the example of the Riemann zeta function.

Introduction to Abelian Model Structures and Gorenstein Homological Dimensions provides a starting point to study the relationship between homological and homotopical algebra, a very active branch of mathematics.