Image de couverture de livre

On the Hyperbolic Fractional Sum of the Divisor Function

Fuente: arXiv

Enregistré dans:

Détails bibliographiques
Auteur principal:	Li, Ling
Format:	Preprint
Publié:	2026
Sujets:	Number Theory 11L07, 11N37, 11A25, 11D75
Accès en ligne:	Acceder al recurso
Tags:	Ajouter un tag Pas de tags, Soyez le premier à ajouter un tag!

Documents similaires

Short Exponential Sums and Ternary Correlations of Multiplicative Functions
par: Kim, Jiseong
Publié: (2026)

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

On a Smoothed Dirichlet Divisor Problem
par: Bordellès, Olivier, et autres
Publié: (2026)

Some remarks on the $[x/n]$-sequence
par: Saito, Kota, et autres
Publié: (2023)

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)

On Artin's conjecture on average and short character sums
par: Klurman, Oleksiy, et autres
Publié: (2024)

Smoothed Shifted Convolutions of Generalised Divisor Functions
par: Lau, Cheuk Fung
Publié: (2025)

A Flanking Pattern in a Sum-of-Divisors Congruence
par: Kominers, Scott Duke
Publié: (2025)

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

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

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

Sparse sets that satisfy the prime number theorem
par: Bordellès, Olivier, 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)

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

Roth's Theorem in Super Smooth Numbers
par: Wijaya, Laurence P.
Publié: (2025)

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

On algebraic twists with composite moduli, II
par: Lin, Yongxiao, et autres
Publié: (2026)

Distribution of differences of characters evaluated at consecutive polynomial values
par: Bag, Nilanjan, et autres
Publié: (2025)

Primes in simultaneous arithmetic progressions
par: Zheng, Zongkun
Publié: (2025)

The infinitude of square-free palindromes
par: Johnston, Daniel R., et autres
Publié: (2026)

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

Constants for Artin like problems in Kummer and division fields
par: Akbary, Amir, et autres
Publié: (2022)

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

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

The large sieve for square moduli, revisited
par: Baier, Stephan
Publié: (2025)

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

Relatively prime pairs in the Piatetski-Shapiro sequences
par: Suzuki, Yuta
Publié: (2024)

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

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

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

Some Generalizations of Totient Function with Elementary Symmetric Sums
par: Acharjee, Udvas, et autres
Publié: (2025)

Bounds for sets of remainders
par: Baraskar, Omkar, et autres
Publié: (2025)

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

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

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

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)

The mixing conjecture under GRH
par: Blomer, Valentin, et autres
Publié: (2022)