English

An analytical exercise

History and Overview 2007-05-23 v1 Classical Analysis and ODEs

Abstract

This is a translation into English from the original Latin of Leonhard Euler's Exercitatio analytica, Nova Acta Academiae Scientarum Imperialis Petropolitinae 8 (1794), 69-72; E664 in the Enestrom index. In it Euler uses the infinite product identity for sin to prove some properties of the series for the Riemann zeta function for even n.

Keywords

Cite

@article{arxiv.math/0412154,
  title  = {An analytical exercise},
  author = {Leonhard Euler},
  journal= {arXiv preprint arXiv:math/0412154},
  year   = {2007}
}

Comments

5 pages, seems to be the first translation into English