![On Proving Leonhard Euler's Evaluation of the Riemann Zeta Function of 2](https://writelatex.s3.amazonaws.com/published_ver/12456.jpeg?X-Amz-Expires=14400&X-Amz-Date=20240727T115825Z&X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Credential=AKIAWJBOALPNFPV7PVH5/20240727/us-east-1/s3/aws4_request&X-Amz-SignedHeaders=host&X-Amz-Signature=1a03c3f1bbd33c31e55ffff5ca82f438621f5d580d1fee13ac58c266b7ea6282)
On Proving Leonhard Euler's Evaluation of the Riemann Zeta Function of 2
Author
Ivan V. Morozov
Last Updated
5년 전
License
Creative Commons CC BY 4.0
Abstract
A proof of the value for Riemann's zeta function of two using integration of a summation, and product and series expansions of the sine function.
![On Proving Leonhard Euler's Evaluation of the Riemann Zeta Function of 2](https://writelatex.s3.amazonaws.com/published_ver/12456.jpeg?X-Amz-Expires=14400&X-Amz-Date=20240727T115825Z&X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Credential=AKIAWJBOALPNFPV7PVH5/20240727/us-east-1/s3/aws4_request&X-Amz-SignedHeaders=host&X-Amz-Signature=1a03c3f1bbd33c31e55ffff5ca82f438621f5d580d1fee13ac58c266b7ea6282)