Euler and number theory

被引：2

作者：

Karatsuba, A. A.

机构：

来源：

PROCEEDINGS OF THE STEKLOV INSTITUTE OF MATHEMATICS | 2009年 / 264卷 / 01期

关键词：

Number Theory; STEKLOV Institute; Prime Number; Riemann Zeta Function; Analytic Number Theory;

D O I：

10.1134/S0081543809010106

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We give an account of the most important results obtained by Euler in number theory, including the main contribution of Euler, application of analysis to problems of number theory. We note an important role played in modern number theory by the function that was introduced by Euler and is called the Riemann zeta function. We also discuss Euler's works in other fields of science such as function theory and theory of music, as well as the relationship between music and mathematics.

引用

页码：74 / 86

页数：13