On equalities involving integrals of the logarithm of the Riemann ζ-function and equivalent to the Riemann hypothesis

• Datum: 2012
• Hauptverfasser: Beltraminelli, S., Merlini, D., Sekatskii, S. K., Белтрамінеллі, С., Мерліні, Д., Секацький, С.К.
• Format: Artikel
• Sprache: Englisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 2012
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/2568
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

Using the generalized Littlewood theorem about a contour integral involving the logarithm of an analytical function, we show how an infinite number of integral equalities involving integrals of the logarithm of the Riemann ζ-function and equivalent to the Riemann hypothesis can be established and...