Cover Image

On a Problem by Erdős and Mirsky on the ratio of the number of divisors of consecutive integers

Fuente: arXiv

Saved in:

Bibliographic Details
Main Author:	Schlage-Puchta, Jan-Christoph
Format:	Preprint
Published:	2025
Subjects:	Number Theory 11A25, 11N36
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Rough numbers between consecutive primes
by: Gafni, Ayla, et al.
Published: (2025)

Explicit sieve estimates and nonexistence of odd multiperfect numbers of a certain form
by: Yamada, Tomohiro
Published: (2021)

An $L^2$-bound for the Barban-Vehov weights
by: Ramaré, Olivier, et al.
Published: (2024)

On a Möbius double sum
by: Ramaré, Olivier, et al.
Published: (2026)

Newman's Tauberian theorem, the Riemann-Lebesgue Lemma, and abstract analytic number theory
by: Schlage-Puchta, Jan-Christoph, et al.
Published: (2026)

Right-angled triangles with almost prime hypotenuse
by: Sabuncu, Cihan
Published: (2024)

An improved large sieve for quadratic characters via Hooley neutralisers and its applications
by: Wilson, Cameron
Published: (2025)

Uniform distribution of polynomially-defined additive function to varying moduli
by: Akande, Agbolade Patrick
Published: (2024)

Mean values of multiplicative functions and applications to residue-class distribution
by: Pollack, Paul, et al.
Published: (2024)

Products of consecutive integers with unusual anatomy
by: Tao, Terence
Published: (2026)

The sum of the reciprocals of the prime divisors of an odd perfect or odd primitive non-deficient number
by: Zelinsky, Joshua
Published: (2024)

Positive density for consecutive runs of sums of two squares
by: Kimmel, Noam, et al.
Published: (2024)

Prime numbers with an almost prime reverse
by: Dartyge, Cécile, et al.
Published: (2025)

The Landau-Selberg-Delange method for products of Dirichlet $L$-functions, and applications, I
by: Roy, Akash Singha
Published: (2025)

On moments of gaps between consecutive squarefree numbers
by: Chan, Tsz Ho
Published: (2023)

An explicit lower bound for large gaps between some consecutive primes
by: Sono, Keiju
Published: (2024)

More on consecutive multiplicatively dependent triples of integers
by: Bennett, Michael A., et al.
Published: (2024)

Joint distribution in residue classes of families of polynomially-defined multiplicative functions
by: Roy, Akash Singha
Published: (2023)

Joint distribution in residue classes of families of polynomially-defined additive functions
by: Roy, Akash Singha
Published: (2023)

Restriction estimates with sifted integers
by: Bera, Tanmoy, et al.
Published: (2025)

All large primes have Property D
by: Schlage-Puchta, et al.
Published: (2025)

A note on the distribution of prime ideals in real quadratic fields
by: Baier, Stephan, et al.
Published: (2023)

Moyennes de certaines fonctions multiplicatives sur les entiers friables, 3
by: Tenenbaum, Gérald, et al.
Published: (2024)

Primes and polygonal numbers
by: Bhattacharya, Soumya, et al.
Published: (2024)

Partial Liouville sums over divisors
by: Moses, Milo
Published: (2022)

The summatory function of the Möbius function involving the greatest common divisor
by: Kiuchi, Isao, et al.
Published: (2024)

Parity results concerning the generalized divisor function involving small prime factors of integers
by: Alladi, Krishnaswami, et al.
Published: (2024)

Reversible primes
by: Dartyge, Cécile, et al.
Published: (2023)

Class numbers and integer points on some Pellian surfaces
by: Diao, Yijie
Published: (2024)

On the tower factorization of integers
by: De Koninck, Jean-Marie, et al.
Published: (2023)

On the number of $k$-full integers between three successive $k$-th powers
by: Narumi, Shusei, et al.
Published: (2025)

Shifted-prime divisors
by: Fan, Steve, et al.
Published: (2024)

The shifted prime-divisor function over shifted primes
by: Fan, Steve
Published: (2024)

On the friable mean-value of the Erdős-Hooley Delta function
by: Martin, Bruno, et al.
Published: (2023)

Must a primitive non-deficient number have a component not much larger than its radical?
by: Zelinsky, Joshua
Published: (2020)

Weighted sieves with switching
by: Matomäki, Kaisa, et al.
Published: (2024)

Simultaneous visibility in the integer lattice
by: Berend, Daniel, et al.
Published: (2024)

On the asymptotic density of $k$-tuples of positive integers with pairwise non-coprime components
by: Tóth, László
Published: (2024)

Poisson Approximation of prime divisors of shifted primes
by: Ford, Kevin
Published: (2024)

Counting primes with a given primitive root, uniformly
by: Fan, Steve, et al.
Published: (2025)