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 …

Linear Forms in Logarithms and Applications – Back Cover Page 1 Yann Bugeaud Linear
Forms in Logarithms and Applications The aim of this book is to serve as an introductory text to …

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 …

The present book is a new revised and updated version of “Number Theory I. Introduction to
Number Theory” by Yu. I. Manin and AA Panchishkin, appeared in 1989 in Moscow (VINITI …

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 …

Let KQ be Galois and let η∈ K× be such that Reg∞(η)≠. We dene the local θ-regulators∆ θ
p (η)∈ Fp for the Qp-irreducible characters θ of G= Gal (KQ). Let Vθ be the θ-irreducible …