On the Primorial Counting Function

DOI10.1080/00029890.2024.2309123zbMATH Open1546.11138MaRDI QIDQ6551251

Christian Axler

Publication date: 6 June 2024

Published in: American Mathematical Monthly (Search for Journal in Brave)

Mathematics Subject Classification ID

Nonreal zeros of (zeta (s)) and (L(s, chi)); Riemann and other hypotheses (11M26) Distribution of primes (11N05) Primes (11A41)

Cites Work

• Title not available (Why is that?)
• Unimodality of the distribution of the number of prime divisors of an integer
• Grandes valeurs de la fonction somme des diviseurs et hypothèse de Riemann
• Petites valeurs de la fonction d'Euler
• On the distribution of zeros of the function \(\zeta(s)\) and its arithmetical consequences
• Estimates of \(\mathrm{li}(\theta (x))-\pi (x)\) and the Riemann hypothesis
• Explicit bounds for some functions of prime numbers.
• On the difference \(\pi (x)-\text{li}(x)\). I.
• On the first sign change of \(\theta(x) -x\)
• The impact of 𝜁(𝑠) complex zeros on 𝜋(𝑥) for 𝑥<10^{10¹³}
• A sharp region where 𝜋(𝑥)-𝑙𝑖(𝑥) is positive
• On the Difference π(x ) − lix (II)
• A NEW BOUND FOR THE SMALLEST x WITH π(x) > li(x)
• On the Sign of the Difference π(x) - li(x)
• Sharper Bounds for the Chebyshev Functions θ(x) and ψ(x). II
• An Elementary Problem Equivalent to the Riemann Hypothesis
• An analytic method for bounding 𝜓(𝑥)
• A new bound for the smallest $x$ with $\pi(x) > \mathrm{li}(x)$
• A still sharper region where $\pi (x)-{\mathrm {li}}(x)$ is positive
• On the difference π(x) - li(x)
• Sur la distribution des nombres premiers.

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