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Euler and a Proof of the Functional Equation for the Riemann Zeta-Function He Could Have Given

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  • Additional Information
    • Publication Information:
      Scholarly Commons
    • Publication Date:
      2024
    • Collection:
      University of the Pacific: Scholarly Commons
    • 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").
    • File Description:
      application/pdf
    • Relation:
      https://scholarlycommons.pacific.edu/euleriana/vol4/iss1/6; https://scholarlycommons.pacific.edu/context/euleriana/article/1072/viewcontent/Euler_and_a_proof_of_the_functional_equation_for_the_zeta_function_he_could_have_given_with_contact_information.pdf
    • Accession Number:
      10.56031/2693-9908.1072
    • Online Access:
      https://doi.org/10.56031/2693-9908.1072
      https://scholarlycommons.pacific.edu/euleriana/vol4/iss1/6
      https://scholarlycommons.pacific.edu/context/euleriana/article/1072/viewcontent/Euler_and_a_proof_of_the_functional_equation_for_the_zeta_function_he_could_have_given_with_contact_information.pdf
    • Rights:
      http://creativecommons.org/licenses/by-nc/4.0/
    • Accession Number:
      edsbas.3D381602