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arXiv · 2308.16312

On Euler's Solution of the simple Difference Equation

Alexander Aycock
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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.

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Alexander Aycock. 2023-08-30. On Euler's Solution of the simple Difference Equation. https://doi.org/10.56031/2693-9908.1058

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