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Springer-Verlag has invited me to bring out my Selected Works. Being aware that Springer-Verlag enjoys high esteem... Read More >>
The theory of algebraic function fields over finite fields has its origins in number theory. Read More >>
This book documents the history of pi from the dawn of mathematical time to the present. The articles include selections... Read More >>
Mumford is a well-known mathematician and winner of the Fields Medal, the highest honor available in mathematics.... Read More >>
<p>This book has a nonstandard choice of topics, including material on differential galois groups and proofs of... Read More >>
The book is the first English translation of John Wallis's Arithmetica Infinitorum (1656), a key text on the seventeenth-century... Read More >>
The Primality Testing Problem (PTP) has now proved to be solvable in deterministic polynomial-time (P) by the AKS... Read More >>
From September 13 to 17 in 1999, the First China-Japan Seminar on Number Theory was held in Beijing, China, which... Read More >>
This book deals with algorithmic problems concerning binary quadratic forms 2 2 f(X,Y)= aX +bXY +cY with integer... Read More >>
The central theme of this book is the solution of Diophantine equations, i.e., equations or systems of polynomial... Read More >>
Includes several focused proofs developed in a generalized context that is accessible to researchers in related... Read More >>
The continuous volume of P has the usual intuitive meaning of volume that we attach to everyday objects we see in... Read More >>
This book presents the Riemann Hypothesis, connected problems, and a taste of the body of theory developed towards... Read More >>
If F is a non-Archimedean local field, local class field theory can be viewed as giving a canonical bijection between... Read More >>
Lessons include: Square Roots, Cube Roots, Distributive Property, Divisibility Rules, Number Patterns: Arithmetic... Read More >>
Lessons include: Prime Factorization, Greatest Common Factor, Least Common Multiple, Exponents, Exponents and Multiplication,... Read More >>
One of the most remarkable and beautiful theorems in coding theory is Gleason's 1970 theorem about the weight enumerators... Read More >>
Kurt Hensel (1861-1941) discovered the p-adic numbers around the turn of the century. These exotic numbers (or so... Read More >>
The approach taken by the authors in Problems in Algebraic Number Theory is based on the principle that questions... Read More >>
This book deals with several aspects of what is now called ""explicit number theory."" The central theme is the... Read More >>