On Euler's Solution of the simple Difference Equation

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.

11 pages

References in corpus (2)

• On Euler's Solution of the simple Difference Equation
• Euler's First Proof of Stirling's Formula

Cited by in corpus (2)

• On Euler's Solution of the simple Difference Equation
• Euler's First Proof of Stirling's Formula