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A new elementary proof of the Prime Number Theorem

Florian Karl Richter

Let

\Omega(n)

denote the number of prime factors of

n

. We show that for any bounded

f\colon\mathbb{N}\to\mathbb{C}

one has [ \frac{1}{N}\sum_{n=1}^N, f(\Omega(n)+1)=\frac{1}{N}\sum_{n=1}^N, f(\Omega(n))+\mathrm{o}_{N\to\infty}(1). ] This yields a ...

2021

Number

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A new elementary proof of the Prime Number Theorem

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Quand les artistes font forme en habitant ensemble. Usages, présences, imaginaires.

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A new elementary proof of the Prime Number Theorem

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Gradient expansion formalism for magnetogenesis in the kinetic coupling model

Many touchings force many crossings

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Review of fundamental assumptions of the Two-Phase model for aggregate interlocking in cracked concrete using numerical methods and experimental evidence