On the first sign change of θ(x) - x

2014/07/08 by David J. Platt, Tim Trudgian, Platt, Dave +1 · 1 citation
Mathematics · #Analytic Number Theory Research #Algebraic Geometry and Number Theory #Mathematical Dynamics and Fractals

paper · pdf · doi:10.48550/arxiv.1407.1914

Abstract

Let θ(x) = ∑_{p≤ x} log p. We show that θ(x)x.

Citations

• Sur la distribution des nombres premiers
• Explicit Bounds for Some Functions of Prime Numbers

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• On the verification of a Nicolas inequality

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