Abstract
In this note we will discuss Euler's solution of the simple difference equation that he gave in his paper{\it ``De serierum determinatione seu nova methodus inveniendi terminos generales serierum"} \cite{E189} (E189:``On the determination of series or a new method of finding the general terms of series") and also present a derivation for the values of the Riemann $\zeta$-function at positive integer numbers based on Euler's ideas.
Last Page
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Recommended Citation
Aycock, Alexander
(2023)
"On Euler's Solution of the Simple Difference Equation,"
Euleriana: 3(2), pp.136-146.
DOI: https://doi.org/10.56031/2693-9908.1058
Available at:
https://scholarlycommons.pacific.edu/euleriana/vol3/iss2/5