Abstract
We explain how Euler could have proved a functional equation, which is equivalent to the one for the Riemann zeta-function, that he conjectured in his paper {\it ``Remarques sur un beau rapport entre les series des puissances tant directes que reciproques"} \cite{E352} (E352: ``Remarks on the beautiful relation between the series of the direct and reciprocal powers").
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Recommended Citation
Aycock, Alexander
()
"Euler and a Proof of the Functional Equation for the Riemann Zeta-Function He Could Have Given,"
Euleriana: 4(1), pp.77-88.
DOI: https://doi.org/10.56031/2693-9908.1072
Available at:
https://scholarlycommons.pacific.edu/euleriana/vol4/iss1/6