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 Izv. Akad. Nauk SSSR Ser. Mat., 1947, Volume 11, Issue 3, Pages 197–262 (Mi izv2975)

On Riemann's hypothesis

T. Paul

Abstract: In this paper we give necessary and sufficient conditions for the validity of the quasi-riemannian hypothesis. The advantage of our conditions over those obtained before consists in the fact that the validity of our conditions can be established by means of estimations for some trigonometrical sums independently of the whole theory of $\zeta$-function.

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Revised: 05.02.1947
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Citation: T. Paul, “On Riemann's hypothesis”, Izv. Akad. Nauk SSSR Ser. Mat., 11:3 (1947), 197–262

Citation in format AMSBIB
\Bibitem{Pau47} \by T.~Paul \paper On Riemann's hypothesis \jour Izv. Akad. Nauk SSSR Ser. Mat. \yr 1947 \vol 11 \issue 3 \pages 197--262 \mathnet{http://mi.mathnet.ru/izv2975} \mathscinet{http://www.ams.org/mathscinet-getitem?mr=21569} \zmath{https://zbmath.org/?q=an:0029.39501}