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Chebyshev 1852 — Mémoire sur les nombres premiers
chain
P. L. Chebyshev (1852). Mémoire sur les nombres premiers. J. Math. Pures Appl. 17 (1852) 366–390. Cited by its record. License as found: public domain (the author died more than a century ago, or the work was published before 1930). What it gave the chain: pi(x) is between 0.92 and 1.11 times x / log x; Bertrand's postulate proven.
source
P. L. Chebyshev (1852), J. Math. Pures Appl. 17 (1852) 366–390
card id
card_chain_chebyshev_1852
address
WIT.codex.FCT/m-moire-sur-les-nombres-premiers/REF.WITNESSED@p-l-chebyshev
adjoining cards
- builds on → Legendre 1798 — Essai sur la théorie des nombres — pi(x) is between 0.92 and 1.11 times x / log x; Bertrand's postulate proven
- enables → Riemann 1859 — Über die Anzahl der Primzahlen unter einer gegebenen Grösse — zeta continued to the plane, the functional equation, the explicit formula through log zet
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