Number Theory

This book is a collection of articles in the second volume of the Journal of Combinatorics and Number Theory. As scheduled this volume consists of ...

This book contains papers on topics in combinatorics (including graph theory) or number theory. The subject areas within correspond to the MSC (Mat...

The first edition of this book provided the first systematic exposition of the arithmetic theory of algebraic groups. This revised second edition, ...

Number theory is the branch of mathematics that is primarily concerned with the counting numbers. Of particular importance are the prime numbers, t...

We all learned that the ratio of the circumference of a circle to its diameter is called pi and that the value of this algebraic symbol is roughly ...

Elementary Number Theory, 6th Edition, blends classical theory with modern applications and is notable for its outstanding exercise sets. A full ra...

When Leonhard Euler first arrived at the Russian Academy of Sciences, at the age of 20, his career was supported and promoted by the Academys secre...

Topological dynamics and ergodic theory usually have been treated independently. H. Furstenberg, instead, develops the common ground between them b...

Using the dichotomy of structure and pseudorandomness as a central theme, this accessible text provides a modern introduction to extremal graph the...

Searching for small gaps between consecutive primes is one way to approach the twin primes conjecture, one of the most celebrated unsolved problems...

An entertaining and enlightening history of irrational numbers, from ancient Greece to the twenty-first centuryThe ancient Greeks discovered them, ...

We see numbers on automobile license plates, addresses, weather reports, and, of course, on our smartphones. Yet we look at these numbers for thei...

The Enigma of the Spiral Waves delves further into the workings of the number system with an inventive, equation-free approach to communicating adv...

Baffling the greatest minds for over one hundred and fifty years, the Riemann hypothesis is generally considered one of the most important and intr...

The field of weak arithmetics is an application of logical methods to number theory that was developed by mathematicians, philosophers, and theoret...

Convolution and Equidistribution explores an important aspect of number theory--the theory of exponential sums over finite fields and their Mellin ...