Arithmetic Tales

• Main Author: Bordellès, Olivier (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: London : Springer London : Imprint: Springer, 2012.
• Series: Universitext,
• Subjects: Mathematics.; Number theory.; Number Theory.; Mathematics, general.

Number theory was once famously labeled the queen of mathematics by Gauss. The multiplicative structure of the integers in particular deals with many fascinating problems some of which are easy to understand but very difficult to solve.  In the past, a variety of very different techniques has been a...

Table of Contents:

• Basic Tools
• Bézout and Gauss
• Prime Numbers
• Arithmetic Functions
• Integer Points Close to Smooth Curves
• Exponential Sums
• Algebraic Number Fields.