Image de couverture de livre

Estimates for $k$-dimensional spherical summations of arithmetic functions of the GCD and LCM

Fuente: arXiv

Enregistré dans:

Détails bibliographiques
Auteurs principaux:	Heyman, Randell, Tóth, László
Format:	Preprint
Publié:	2022
Sujets:	Number Theory Combinatorics 11A05, 11A25, 11N37
Accès en ligne:	Acceder al recurso
Tags:	Ajouter un tag Pas de tags, Soyez le premier à ajouter un tag!

Documents similaires

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

Hyperbolic summation involving the function $Ω(n)$ and lcm
par: Karras, Meselem
Publié: (2022)

Generalizations of Euler's $φ$-function with respect to systems of polynomials of several variables
par: Csizmazia, Norbert, et autres
Publié: (2025)

Note on Fractional Sums with Fixed GCD
par: Karras, Meselem
Publié: (2026)

On additive convolution sum of arithmetic functions and related questions
par: Misra, Bikram, et autres
Publié: (2025)

An explicit result for short sums of positive arithmetic functions
par: Bordellès, Olivier
Publié: (2024)

On a generalisation sum involving the Euler function
par: Ye, Zhaoxi, et autres
Publié: (2024)

On the Mean Value of $D_k(n)$ in Arithmetic Progressions
par: Karras, Meselem
Publié: (2026)

On the tower factorization of integers
par: De Koninck, Jean-Marie, et autres
Publié: (2023)

Two identities involving Cohen-Ramanujan expansions
par: Chandran, Arya, et autres
Publié: (2025)

Some asymptotic formulae involving Cohen-Ramanujan expansions
par: Chandran, Arya, et autres
Publié: (2023)

Some asymptotic formulae involving Cohen-Ramanujan expansions
par: Chandran, Arya, et autres
Publié: (2024)

Möbius function and primes: an identity factory with applications
par: Ramaré, Olivier, et autres
Publié: (2023)

From explicit estimates for the primes to explicit estimates for the Möbius function II
par: Ramaré, Olivier, et autres
Publié: (2024)

Mean values of arithmetic functions and application to sums of powers
par: de la Bretèche, Régis, et autres
Publié: (2024)

The level of distribution of the sum-of-digits function in arithmetic progressions
par: Toumi, Nathan
Publié: (2025)

Completely Additive Height Functions: Profile Laws, Matula Bounds, and Inverse Growth
par: Bal, Hartosh Singh
Publié: (2023)

Permutation Patterns of the Iterated Syracuse Function
par: Nathanson, Melvyn B.
Publié: (2023)

Friable averages of complex arithmetic functions
par: de la Bretèche, Régis, et autres
Publié: (2023)

On Proving Ramanujan's Inequality using a Sharper Bound for the Prime Counting Function $π(x)$
par: De, Subham
Publié: (2024)

The summatory function of the Möbius function involving the greatest common divisor
par: Kiuchi, Isao, et autres
Publié: (2024)

On the Asymptotic Behavior of a Multiplicative Arithmetic Function Related to the Divisor Function Over Perfect Squares Integers Generated by Shifting
par: Mihoub, Bouderbala
Publié: (2026)

Brun's inequality for a geometric lattice
par: Murty, M. Ram, et autres
Publié: (2025)

On a Möbius double sum
par: Ramaré, Olivier, et autres
Publié: (2026)

A Tauberian characterization of the Riemann hypothesis through the floor function
par: Cloitre, Benoit
Publié: (2024)

On the Least Colossally Abundant Exception to Robin's Inequality
par: Zimov, Bruce
Publié: (2025)

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

On certain sums involving the largest prime factor over integer sequences
par: Bouderbala, Mihoub
Publié: (2025)

Generalized cyclotomic polynomials associated with regular systems of divisors and arbitrary sets of positive integers
par: Tóth, László
Publié: (2024)

Optimal bounds for sums of non-negative arithmetic functions
par: Chirre, Andrés, et autres
Publié: (2025)

Primitive sets and von Mangoldt chains: Erdős Problem #1196 and beyond
par: Alexeev, Boris, et autres
Publié: (2026)

Magic partition functions: Sign smoothing convolutions with Dirichlet invertible arithmetic functions
par: Schmidt, Maxie Dion
Publié: (2026)

Runs of Consecutive Integers Having the Same Number of Divisors
par: Spătaru, Vlad-Titus
Publié: (2023)

The Divisor Function along a Deterministic Orbit and the Emergence of Ladders
par: Mantovanelli, Marco
Publié: (2026)

On powers of the diophantine function $\star:x\mapsto x(x+1)$
par: Silberger, Donald
Publié: (2024)

Théorème d'Erdős-Kac dans un régime de grande déviation pour les translatés d'entiers ayant $k$ facteurs premiers
par: Garçonnet, Olivier
Publié: (2024)

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

A family of analogues to the Robin criterion
par: Fan, Steve, et autres
Publié: (2025)

On the Mean Value of a Weighted Composite Arithmetic Function
par: Bouderbala, Mihoub
Publié: (2026)

Harmonic LCM patterns and sunflower-free capacity
par: Tang, Quanyu, et autres
Publié: (2025)