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On Riemann’s study “Ueber die Anzahl der Primzahlen unter einer gegebenen Grösse”. (On the number of primes less than a given bound.). (Zu Riemann’s Abhandlung “Ueber die Anzahl der Primzahlen unter einer gegebenen Grösse”.) (German) JFM 26.0215.03
Ueber die Sätze und Methoden der Abhandlung ist bereits auf Grund des von dem Verfasser in den Berl. Ber. 1894 veröffentlichte Auszugs aus dieser Arbeit (F. d. M. XXV 1893/94. 263, JFM 25.0263.01) eingehend berichtet worden. Es erübrigt daher nur, festzustellen, dass nunmehr alle bei den Beweisen erforderlichen Einzelheiten ausführlich beigebracht werden.
Reviewer: Minkowski, Prof. (Zürich)

11M06$\zeta (s)$ and $L(s, \chi)$
11M26Nonreal zeros of $\zeta (s)$ and $L(s, \chi)$; Riemann and other hypotheses
11N05Distribution of primes
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