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The Riemann hypothesis
A question
The Riemann hypothesis. Every non-trivial zero of the Riemann zeta function has real part one half. Its chart is the tick stick stick_riemann_hypothesis: what is sealed, what is cited and what stays open are read live at /stick?id=stick_riemann_hypothesis. Open.
source
card id
card_question_riemann
address
SCI.millennium.FCT/the-riemann-hypothesis/REF.WITNESSED@clay-mathematics-institu
adjoining cards
- on the shelf of → The Millennium sources — the papers behind the seven sticks — one of the seven questions the Millennium shelf is about
- open end of → The Millennium floor - seven open questions, and where they connect — an open question hanging off the floor of what is proven
- connects at → Zeta zeros and the lattice Dirac operator share GUE statistics — Zeta zeros and the lattice Dirac operator share GUE statistics. montgomery 1973; odlyzko 1
- connects at → One machinery: Euler product, functional equation, critical line — One machinery: Euler product, functional equation, critical line. wiles 1995. Sealed: xi_f
- connects at → The Weil conjectures (Deligne 1974): the Riemann hypothesis over finite fields, a theorem — The Weil conjectures (Deligne 1974): the Riemann hypothesis over finite fields, a theorem.
- connects at → The Riemann hypothesis is one Diophantine equation with no solutions — The Riemann hypothesis is one Diophantine equation with no solutions. davis matiyasevich r
- open end of → The logarithm - the instrument the joints share — the open question this chain reaches
- connects at → Riemann 1859 — Über die Anzahl der Primzahlen unter einer gegebenen Grösse — where the logarithm enters: the explicit formula runs through log zeta - the product over
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