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4-6
4-6

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Logarithms

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DOC

arXiv:1412.5920v1 [math.CO] 18 Dec 2014
arXiv:1412.5920v1 [math.CO] 18 Dec 2014

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... A remarkable feature of this corollary is that it describes the orthogonality of a π (n) and aπ0 (n) in three cases with different main terms. It is thus in a more precise form than Selberg’s Conjecture 1.2. Moreover, one can see from the last case of Corollary 3.3 that the Dirichlet series on the r ...
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A Tour of Formal Verification with Coq:Knuth`s Algorithm for Prime

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Vincent's theorem

In mathematics, Vincent's theorem—named after Alexandre Joseph Hidulphe Vincent—is a theorem that isolates the real roots of polynomials with rational coefficients.Even though Vincent's theorem is the basis of the fastest method for the isolation of the real roots of polynomials, it was almost totally forgotten, having been overshadowed by Sturm's theorem; consequently, it does not appear in any of the classical books on the theory of equations (of the 20th century), except for Uspensky's book. Two variants of this theorem are presented, along with several (continued fractions and bisection) real root isolation methods derived from them.
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