The theory of elliptic curves is distinguished by its long history and by the diversity of the
methods that have been used in its study. This book treats the arithmetic theory of elliptic …

Elementary Methods in Number Theory begins with" a first course in number theory" for
students with no previous knowledge of the subject. The main topics are divisibility, prime …

Asking how one does mathematical research is like asking how a composer creates a
masterpiece. No one really knows. However, it is a recognized fact that problem solving …

Since its introduction in 1988, Mathematica has become probably the most popular
symbolic, graphic, and numeric software for general use in the scientific and engineering …

This series is devoted to the publication of research monographs, lecture notes, and other
material arising from programs of the Institut de Recherche Mathématique Avancée …

A fascinating journey into the mind-bending world of prime numbers Cicadas of the genus
Magicicada appear once every 7, 13, or 17 years. Is it just a coincidence that these are all …

An Introduction to Number Theory provides an introduction to the main streams of number
theory. Starting with the unique factorization property of the integers, the theme of …

This monograph contains exciting original mathematics that will inspire new directions of
research in algebraic geometry. Developed here is an arithmetic analog of the theory of …

This book is an elementary introduction to $ p $-adic analysis from the number theory
perspective. With over 100 exercises included, it will acquaint the non-expert to the basic …

We obtain some theoretical and experimental results concerning various properties (the
number of fixed points, image distribution, cycle lengths) of the dynamical system naturally …