On the Square of Euler's Series
β Scribed by Glaisher, J. W. L.
- Book ID
- 120105223
- Publisher
- Oxford University Press
- Year
- 1889
- Tongue
- English
- Weight
- 941 KB
- Volume
- s1-21
- Category
- Article
- ISSN
- 0024-6115
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
A passage in Euler's notebook 132 (written between 1740 and 1744) concerning the foursquares theorem is interpreted in a new way. The proof of the four-squares theorem is based on three lemmas. Euler proved two of them from which he deduced the theorem on the representation as a sum of four squares
HM 25 ## ASPECTS OF EULER'S THEORY OF SERIES 291 Le proble `me d'interpolation de Wallis attira l'attention du jeune Euler, qui obtint rapidement des re Β΄sultats de grand inte Β΄re Λt. Il amena Euler a `formuler le proble `me d'inte Β΄gration consistant a `exprimer le terme ge Β΄ne Β΄ral d'une se Β΄ri
This paper discusses the role of the series expansion of (1 -g cos to)-. in the works of Leonhard Euler. Two of his papers are considered in detail, his 1748 prize-winning essay on Saturn and Jupiter to the Paris Academy, and his 1756 prize-winning essay, also to the Paris Academy, on planetary pert
We present results for some infinite series appearing in Feynman diagram calculations, many of which are similar to the Euler series. These include both one-dimensional and two-dimensional series. Most of these series can be expressed in terms of ((2), ((3), the Catalan constant G and C12(~/3) where