Mathematics : Number Theory

There is now a large body of theory concerning algebraic varieties over finite fields, and many conjectures exist in this area that are of great interest to ......

This volume has grown out of lectures given by Professor Pfister over many years. The emphasis here is placed on results about quadratic forms that give rise......

This introduction to recent work in p-adic analysis and number theory will make accessible to a relatively general audience the efforts of a number of mathem......

The contributions in this book are based on the lectures delivered at the Seminaire de theorie des nombres de Paris during the academic year 93-94. It is the......

This book is intended to serve as a one-semester introductory course in number theory. Throughout the book a historical perspective has been adopted and emph......

In its first six chapters this text seeks to present the basic ideas and properties of the Jacobi elliptic functions as an historical essay, an attempt to an......

This undergraduate introduction to analytic number theory develops analytic skills in the course of studying ancient questions on polygonal numbers, perfect ......

Algebraic number theory is a subject which came into being through the attempts of mathematicians to try to prove Fermat's last theorem and which now has a w......

The seminal formula of Gross and Zagier relating heights of Heegner points to derivatives of the associated Rankin L-series has led to many generalisations a......

Sieve theory has a rich and romantic history. The ancient question of whether there exist infinitely many twin primes (primes p such that p+2 is also prime),......

This book studies the intersection cohomology of the Shimura varieties associated to unitary groups of any rank over Q. In general, these varieties are not c......

This is a course in boundary element methods for the absolute beginners. Basic concepts are carefully explained through the use of progressively more complic......

"Zeropsis", as a word is a new term, it means, the study and analysis of the number zero. This book is called "Zeropsis I", being the first part of...

V. I. Arnold reveals some unexpected connections between such apparently unrelated theories as Galois fields, dynamical systems, ergodic theory, statistics, ......

Weyl group multiple Dirichlet series are generalizations of the Riemann zeta function. Like the Riemann zeta function, they are Dirichlet series with analyti......

This book is a self-contained account of the one- and two-dimensional van der Corput method and its use in estimating exponential sums. These arise in many p......

This easy-to-read book demonstrates how a simple geometric idea reveals fascinating connections and results in number theory, the mathematics of polyhedra, c......

Mathematicians solve equations, or try to. But sometimes the solutions are not as interesting as the beautiful symmetric patterns that lead to them. Written ......

Quantum mechanics in Hilbert space Publisher: Academic Press Illustration: N Language: ENG Title: Quantum mechanics in Hilbert space: V41 Pages: 00000 (Encr......

This textbook is intended to serve as a one-semester introductory course in number theory and in this second edition it has been revised throughout and many ......