Highly composite numbers and the Riemann hypothesis

DOI10.1007/s11139-021-00392-0zbMath1500.11072OpenAlexW3154490010WikidataQ114223576 ScholiaQ114223576MaRDI QIDQ2075067

Jean Louis Nicolas

Publication date: 11 February 2022

Published in: The Ramanujan Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11139-021-00392-0

zbMATH Keywords

Riemann hypothesisdivisor functionhighly composite numbers

Mathematics Subject Classification ID

Asymptotic results on arithmetic functions (11N37) Rate of growth of arithmetic functions (11N56)

Related Items (1)

The sum of divisors function and the Riemann hypothesis

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The largest prime factor of Landau's function
• Highly composite numbers. Annotated by Jean-Louis Nicolas and Guy Robin
• Nombres 2-hautement composes
• On large values of the divisor function
• Estimates of \(\mathrm{li}(\theta (x))-\pi (x)\) and the Riemann hypothesis
• Explicit estimates of some functions over primes
• Approximate formulas for some functions of prime numbers
• On the first sign change of $\theta (x) -x$
• Sur la différence $Li\left( \theta \left(x \right)\right) - \pi \left( x \right)$
• Nombres hautement composés
• Majorations Explicites Pour le Nombre de Diviseurs de N
• Sharper Bounds for the Chebyshev Functions θ(x) and ψ(x). II
• Répartition des nombres largement composés
• An analytic method for bounding 𝜓(𝑥)
• Ordre maximal d'un élément du groupe $S_n$ des permutations et «highly composite numbers»
• Répartition Des Nombres Hautement Composés de Ramanujan
• On Highly Composite and Similar Numbers
• On Highly Composite Numbers
• Number Theory

This page was built for publication: Highly composite numbers and the Riemann hypothesis