Number Theory

Catalan numbers, named after the French-Belgian mathematician Eugène Charles Catalan (1814-1894), arise in a variety of combinatorial problems. The...

This carefully prepared manuscript presents elimination theory in weighted projective spaces over arbitrary noetherian commutative base rings. Elim...

From Polynomials to Sums of Squares describes a journey through the foothills of algebra and number theory based around the central theme of factor...

This is the proceedings of the conference 'Primitive Forms and Related Subjects' held at Kavli IPMU, the University of Tokyo in February 10-14, 201...

An indispensable resource for readers in physics and mathematics seeking a solid grasp of the mathematical tools shaping modern theoretical physics...

This proceedings volume, the sixth in a series from the Combinatorial and Additive Number Theory (CANT) conferences, is based on talks from the 20t...

The aim of this book is to give an introduction to what has come to be known as Standard Monomial Theory (SMT). SMT deals with the construction of ...

This volume collects the texts of five courses given in the Arithmetic Geometry Research Programme 2009-2010 at the CRM Barcelona. All of them deal...

This book seeks to describe the rapid development in recent decades of sieve methods able to detect prime numbers. The subject began with Eratosthe...

Alexander Grothendieck is often considered one of the greatest mathematicians of the twentieth century (if not all time), and his unique vision con...

Updated to reflect current research and extended to cover more advanced topics as well as the basics, Algebraic Number Theory and Fermats Last Theo...

Updated to reflect current research and extended to cover more advanced topics as well as the basics, Algebraic Number Theory and Fermats Last Theo...

Eduard Wirsing was an outstanding number theorist. In his research he made significant contributions to various subfields of number theory and also...

This book is a concise, self-contained treatise on abstract algebra with an introduction to number theory, where students normally encounter rigoro...

This book presents cutting-edge research, advanced techniques, and practical applications of Algebra Analysis and Topology. It offers in-depth insi...

This introductory text is designed for undergraduate courses in number theory, covering both elementary number theory and analytic number theory. T...