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Mangoldt 1905 — Zur Verteilung der Nullstellen der Riemannschen Funktion xi(t)
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H. von Mangoldt (1905). Zur Verteilung der Nullstellen der Riemannschen Funktion xi(t). Math. Ann. 60 (1905) 1–19. DOI 10.1007/BF01447494. Canonical: https://doi.org/10.1007/BF01447494. Cited by its record. License as found: Springer TDM license — publisher's copyright, cited. What it gave the chain: N(T) = (T/2pi) log(T/2pi) - T/2pi + O(log T): Riemann's count of the zeros proven.
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card_chain_von_mangoldt_1905
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WIT.codex.FCT/zur-verteilung-der-nullstellen-der-riemannschen-/REF.WITNESSED@h-von-mangoldt
adjoining cards
- builds on → Riemann 1859 — Über die Anzahl der Primzahlen unter einer gegebenen Grösse — N(T) = (T/2pi) log(T/2pi) - T/2pi + O(log T): Riemann's count of the zeros proven
- connects at → The Riemann hypothesis — where the logarithm enters: the zero count is (T/2pi) log(T/2pi) - sealed on the stick at
- enables → Turing 1953 — Some calculations of the Riemann zeta-function — Turing's method: the count of zeros below T checked by the argument, so a computation can
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