Cover Image

On a generalisation sum involving the Euler function

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Ye, Zhaoxi, Xu, Zhefeng
Format:	Preprint
Published:	2024
Subjects:	Number Theory 11A25, 11L05, 11N37
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Two identities involving Cohen-Ramanujan expansions
by: Chandran, Arya, et al.
Published: (2025)

Some asymptotic formulae involving Cohen-Ramanujan expansions
by: Chandran, Arya, et al.
Published: (2024)

Some asymptotic formulae involving Cohen-Ramanujan expansions
by: Chandran, Arya, et al.
Published: (2023)

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

On the moments of averages of Ramanujan sums
by: Goel, Shivani, et al.
Published: (2024)

Distinction between hyper-Kloosterman sums and multiplicative functions
by: Zhang, Yang
Published: (2025)

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

On additive convolution sum of arithmetic functions and related questions
by: Misra, Bikram, et al.
Published: (2025)

Generalizations of Euler's $φ$-function with respect to systems of polynomials of several variables
by: Csizmazia, Norbert, et al.
Published: (2025)

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

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

Estimates for $k$-dimensional spherical summations of arithmetic functions of the GCD and LCM
by: Heyman, Randell, et al.
Published: (2022)

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

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

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

On the Hyperbolic Fractional Sum of the Divisor Function
by: Li, Ling
Published: (2026)

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

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

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

Möbius function and primes: an identity factory with applications
by: Ramaré, Olivier, et al.
Published: (2023)

From explicit estimates for the primes to explicit estimates for the Möbius function II
by: Ramaré, Olivier, et al.
Published: (2024)

Distribution of sums involving Dirichlet characters over the $k$-free integers
by: Bueno, Caio
Published: (2026)

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

Picking up the partial sums of the Möbius function problem with probabilistic number theory
by: Schmidt, Maxie Dion
Published: (2026)

Distribution of differences of characters evaluated at consecutive polynomial values
by: Bag, Nilanjan, et al.
Published: (2025)

Large values of quadratic Dirichlet $L$-functions
by: Darbar, Pranendu, et al.
Published: (2024)

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

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

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

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

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

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

Friable averages of complex arithmetic functions
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)

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

Some remarks on the $[x/n]$-sequence
by: Saito, Kota, et al.
Published: (2023)

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

On algebraic twists with composite moduli, II
by: Lin, Yongxiao, et al.
Published: (2026)

Twisted second moment of primitive cubic L-functions
by: Hong, Ziwei, et al.
Published: (2025)

Character sums of Division polynomials twisted by multiplicative functions
by: Bhakta, Subham
Published: (2025)