Cover Image

Note on a conjecture of Hildebrand regarding friable integers

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	de la Bretèche, Régis, Tenenbaum, Gérald
Format:	Preprint
Published:	2022
Subjects:	Number Theory 11N25
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Friable averages of complex arithmetic functions
by: de la Bretèche, Régis, et al.
Published: (2023)

Friable averages of oscillating multiplicative functions
by: de la Bretèche, Régis, et al.
Published: (2022)

Mean values of arithmetic functions and application to sums of powers
by: de la Bretèche, Régis, et al.
Published: (2024)

Note on the mean value of the Erdős--Hooley Delta-function
by: de la Bretèche, Régis, et al.
Published: (2023)

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

Remarks on the Selberg--Delange method
by: de la Bretèche, Régis, et al.
Published: (2020)

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

On a family of arithmetic series related to the Möbius function
by: Tenenbaum, Gérald
Published: (2024)

On local laws for the number of small prime factors
by: Tenenbaum, Gérald
Published: (2018)

On integral boxes of minimal surface
by: Rotgé, Jonathan, et al.
Published: (2026)

On effective mean-values of arithmetic functions
by: Tenenbaum, Gérald
Published: (2025)

A short-interval Hildebrand-Tenenbaum theorem
by: Benatar, Jacques
Published: (2024)

On partial derivatives of some summatory functions
by: Tenenbaum, Gérald
Published: (2024)

Un crible minorant effectif pour les entiers friables
by: Mounier, Adrien
Published: (2024)

On moments of the Erdős--Hooley Delta-function
by: de la Bretèche, R., et al.
Published: (2025)

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

Moyennes effectives de fonctions multiplicatives complexes
by: Tenenbaum, Gérald
Published: (2017)

On a Problem by Erdős and Mirsky on the ratio of the number of divisors of consecutive integers
by: Schlage-Puchta, Jan-Christoph
Published: (2025)

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

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

Multiplicatively dependent integer vectors on a hyperplane
by: Afifurrahman, Muhammad, et al.
Published: (2025)

Note on Fractional Sums with Fixed GCD
by: Karras, Meselem
Published: (2026)

On Arratia's coupling and the Dirichlet law for the factors of a random integer
by: Haddad, Tony, et al.
Published: (2024)

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

On the exponent of distribution for convolutions of $\mathrm{GL(2)}$ coefficients to smooth moduli
by: Yin, Rongjie
Published: (2025)

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

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

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

Étude statistique du facteur premier médian, 1 : valeur moyenne
by: Rotgé, Jonathan
Published: (2025)

Étude statistique du facteur premier médian, 2 : lois locales
by: Rotgé, Jonathan
Published: (2025)

Cyclotomic primes
by: Pomerance, Carl
Published: (2024)

Large gaps between values of several binary quadratic forms
by: Żmija, Błażej
Published: (2025)

Linear truncation for conditioned prime-factor fibres
by: Verwee, Johann
Published: (2026)

Étude statistique du facteur premier médian, 4: somme des inverses
by: Rotgé, Jonathan
Published: (2025)

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

On Artin's conjecture on average and short character sums
by: Klurman, Oleksiy, et al.
Published: (2024)

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

A link between error terms when counting smooth and rough numbers
by: Weingartner, Andreas
Published: (2026)

The generalized Montgomery-Hooley formula: A survey
by: Vaughan, Robert C.
Published: (2026)

Powered numbers in short intervals II
by: Chan, Tsz Ho
Published: (2024)