On the summation of some divergent series of Euler and the zeta functions
β Scribed by Jacques Dutka
- Publisher
- Springer-Verlag
- Year
- 1996
- Tongue
- English
- Weight
- 641 KB
- Volume
- 50
- Category
- Article
- ISSN
- 0003-9519
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
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
A variety of infinite series representations for the Hurwitz zeta function are obtained. Particular cases recover known results, while others are new. Specialization of the series representations apply to the Riemann zeta function, leading to additional results. The method is briefly extended to the