Number theory books

The authors provide a friendly introduction to the delights of algebraic number theory via Pell's Equation. The...  Read More >>

Cryptography, secret writing, is enjoying a scientific renaissance following the seminal discovery in 1977 of public-key...  Read More >>

4 Nonhyperbolic Case . . . . . . . 5 Random Matrix Theory . . . . . 7 Appendix: Baker's Map . . . 3 Form Factor...  Read More >>

In this respect the book continues the research of the first author presented in the monograph Limit Theorems for...  Read More >>

On the one hand, this monograph serves as a self-contained introduction to Nevanlinna's theory of value distribution...  Read More >>

Most points of a variety are simple points. Singularities are special points, or points of multiplicity greater...  Read More >>

Gives a comprehensive account of the basic algebraic properties of the classical groups over rings. This book also...  Read More >>

The aim of this book is to present an exposition of the theory of alge­ braic numbers, excluding class-field theory...  Read More >>

It highlights the surprising width and depth of the field through examples drawn from current activity, ranging...  Read More >>

This volume contains a collection of papers in Analytic and Elementary Number Theory in memory of Professor Paul...  Read More >>

Talks about the development of reciprocity laws, starting from conjectures of Euler. This book discusses the contributions...  Read More >>

Abel Heeke was certainly one of the masters, and in fact, the study of Heeke L­ series and Heeke operators has permanently...  Read More >>

Both rings are principal ideal domains, both have the property that the residue class ring of any non-zero ideal...  Read More >>

Solving equations in integers is the central problem of number theory, so this book is truly a number theory book,...  Read More >>

Find a polynomial of degree n with eoeffieients in the set { + 1, -I} that has smallest possible supremum norm on...  Read More >>

Numbers ... What are p-adic numbers, p-adic analysis, p-adic physics, p-adic probability? I· We get an infinite...  Read More >>

Tracing the story from its earliest sources, this book celebrates the lives and work of pioneers of modern mathematics:...  Read More >>

The fundamental ring of interest is the ring of ordinary integers Z, and the fundamental field of interest is the...  Read More >>

Gauss created the theory of binary quadratic forms in ""Disquisitiones Arithmeticae"" and Kummer invented ideals...  Read More >>

After an eclipse of some 50 years, Number Theory, that is to say the study of the properties of the integers, has...  Read More >>

This book gives an introduction to algebraic functions and projective curves. It also develops the theory of singular...  Read More >>

The SCAN conference, the International Symposium on Scientific Com­ puting, Computer Arithmetic and Validated Numerics,...  Read More >>

This book examines four mathematical concepts which play a great role in many different areas of mathematics: symbolic...  Read More >>

Néron models were invented by A. This volume of the renowned ""Ergebnisse"" series provides a detailed demonstration...  Read More >>

In the present book, we have put together the basic theory of the units and cuspidal divisor class group in the...  Read More >>