A Dynamical Proof of the Prime Number Theorem

DOI10.46298/HRJ.2022.8924zbMATH Open1483.11011arXiv2002.04007OpenAlexW4205428840WikidataQ114020612 ScholiaQ114020612MaRDI QIDQ5032418

Redmond McNamara

Publication date: 16 February 2022

Published in: Hardy-Ramanujan Journal (Search for Journal in Brave)

Abstract: We present a new, elementary, dynamical proof of the prime number theorem.

Full work available at URL: https://arxiv.org/abs/2002.04007

zbMATH Keywords

prime number theorementropy decrement argument

Mathematics Subject Classification ID

Distribution of primes (11N05) Primes (11A41) Relations between ergodic theory and number theory (37A44) Relations between ergodic theory and harmonic analysis (37A46)

Related Items (2)

Using Dynamical Systems to Construct Infinitely Many Primes ⋮ Prime number theorem for regular Toeplitz subshifts

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