Superior Highly Composite Numbers and the Explicit Upper Bound of Generalized Divisor Functions
Fuente:
arXiv
Saved in:
| Main Author: | Teo, Lee-Peng |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Similar Items
Explicit Bound of $\pmb{|ζ\left(1+it\right)|}$
by: Qingyi, Eunice Hoo, et al.
Published: (2024)
by: Qingyi, Eunice Hoo, et al.
Published: (2024)
Explicit and Effective Estimates for the error term in the Generalised Divisor Problem
by: Palojärvi, Neea, et al.
Published: (2026)
by: Palojärvi, Neea, et al.
Published: (2026)
Explicit Upper Bounds on Decay Rates of Fourier Transforms of Self-similar Measures on Self-similar Sets
by: Lee, Ying Wai
Published: (2024)
by: Lee, Ying Wai
Published: (2024)
The Northcott Property for Composites of Number Fields of Bounded Degree
by: Castillo, Benjamín
Published: (2026)
by: Castillo, Benjamín
Published: (2026)
On the Generalised Divisor Problem
by: Tudzi, Sebastian
Published: (2025)
by: Tudzi, Sebastian
Published: (2025)
An Improved Upper Bound for the Dirichlet Spectrum in Diophantine Approximation
by: Peng, Zixuan, et al.
Published: (2026)
by: Peng, Zixuan, et al.
Published: (2026)
Upper Bounds for low moments of twisted Fourier coefficients of modular forms
by: Gao, Peng, et al.
Published: (2025)
by: Gao, Peng, et al.
Published: (2025)
Optimization of the Implicit Constant for Upper Bounds for Moments of the Riemann zeta Function
by: Tao, Tingyu
Published: (2024)
by: Tao, Tingyu
Published: (2024)
Reverse Divisors and Magic Numbers
by: Costa, Eudes Antonio, et al.
Published: (2024)
by: Costa, Eudes Antonio, et al.
Published: (2024)
Divisor Functions: Train-like Structure and Density Properties
by: Dubovski, Evelina
Published: (2024)
by: Dubovski, Evelina
Published: (2024)
An Explicit Entire Function of Order One with All Zeros on a Line and Bounded in a Half-Plane
by: Furmaniak, Ralph
Published: (2026)
by: Furmaniak, Ralph
Published: (2026)
Runs of Consecutive Integers Having the Same Number of Divisors
by: Spătaru, Vlad-Titus
Published: (2023)
by: Spătaru, Vlad-Titus
Published: (2023)
On a Divisor Modular Form and a Theta Lift
by: Mono, Andreas, et al.
Published: (2025)
by: Mono, Andreas, et al.
Published: (2025)
Section Rings of $\mathbb{Q}$-Divisors on Genus $1$ Curves
by: Cerchia, Michael, et al.
Published: (2023)
by: Cerchia, Michael, et al.
Published: (2023)
A Note on Large Sums of Divisor-Bounded Multiplicative Functions
by: Frechette, Claire, et al.
Published: (2024)
by: Frechette, Claire, et al.
Published: (2024)
Upper bounds for moments of zeta sums
by: Gao, Peng
Published: (2024)
by: Gao, Peng
Published: (2024)
The Square-Root Law Does Not Hold in the Presence of Zero Divisors
by: Kingsbury-Neuschotz, Nathaniel
Published: (2024)
by: Kingsbury-Neuschotz, Nathaniel
Published: (2024)
Smoothed Shifted Convolutions of Generalised Divisor Functions
by: Lau, Cheuk Fung
Published: (2025)
by: Lau, Cheuk Fung
Published: (2025)
Explicit Class Field Theory for Orders in Global Function Fields
by: Demangos, L., et al.
Published: (2024)
by: Demangos, L., et al.
Published: (2024)
Divisor problems for restricted Fourier coefficients of modular forms
by: Lau, Yuk-Kam, et al.
Published: (2024)
by: Lau, Yuk-Kam, et al.
Published: (2024)
A Sharper Upper Bound for the Separating Words Problem
by: Dumitru, Bogdan C.
Published: (2025)
by: Dumitru, Bogdan C.
Published: (2025)
Primes $p$ such that $p-b$ Has a Large Power Factor and Few Other Prime Divisors
by: Xie, Likun
Published: (2024)
by: Xie, Likun
Published: (2024)
On the Rational Cuspidal Divisor Class Groups of Drinfeld Modular Curves $X_0(\mathfrak{p}^r)$
by: Ho, Sheng-Yang Kevin
Published: (2023)
by: Ho, Sheng-Yang Kevin
Published: (2023)
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)
by: Mihoub, Bouderbala
Published: (2026)
A Dirichlet Generating Function for the Coefficients of Euler's Pentagonal Number Theorem
by: Tellkamp, Friedjof
Published: (2025)
by: Tellkamp, Friedjof
Published: (2025)
Considering a Classical Upper Bound on the Frobenius Number
by: Williams, Aled, et al.
Published: (2023)
by: Williams, Aled, et al.
Published: (2023)
Multifactorisations and Divisor Functions
by: Law, Ambrose D., et al.
Published: (2023)
by: Law, Ambrose D., et al.
Published: (2023)
Refined Upper Bounds for $L(1,χ)$
by: Ezearn, Jeffery
Published: (2025)
by: Ezearn, Jeffery
Published: (2025)
Highly Uniform Prime Number Theorems
by: Kaneko, Ikuya, et al.
Published: (2022)
by: Kaneko, Ikuya, et al.
Published: (2022)
On the Composition of the Euler Function and the Dedekind Arithmetic Function
by: Guo, Aimin, et al.
Published: (2025)
by: Guo, Aimin, et al.
Published: (2025)
On the Hyperbolic Fractional Sum of the Divisor Function
by: Li, Ling
Published: (2026)
by: Li, Ling
Published: (2026)
From Hilbert's Tenth Problem to Quantum Speedup: Explicit Oracles for Bounded Diophantine Systems
by: Escrig, Gabriel, et al.
Published: (2026)
by: Escrig, Gabriel, et al.
Published: (2026)
On a Smoothed Dirichlet Divisor Problem
by: Bordellès, Olivier, et al.
Published: (2026)
by: Bordellès, Olivier, et al.
Published: (2026)
Upper bounds for shifted moments of Dirichlet $L$-functions to a fixed modulus over function fields
by: Baier, Stephan, et al.
Published: (2024)
by: Baier, Stephan, et al.
Published: (2024)
Linear Bounds for Differentiable Limits of Weak Pair Correlation Functions
by: Weiß, Christian
Published: (2026)
by: Weiß, Christian
Published: (2026)
On Factoring and Power Divisor Problems via Rank-3 Lattices and the Second Vector
by: Gao, Yiming, et al.
Published: (2025)
by: Gao, Yiming, et al.
Published: (2025)
An Explicit Uniform Mordell Conjecture over Function Fields of Characteristic Zero
by: Yu, Jiawei
Published: (2023)
by: Yu, Jiawei
Published: (2023)
Bounds for integral moments of quadratic twists of Fourier coefficients of modular forms
by: Gao, Peng, et al.
Published: (2025)
by: Gao, Peng, et al.
Published: (2025)
The Explicit Hypergeometric-Modularity Method I
by: Allen, Michael, et al.
Published: (2024)
by: Allen, Michael, et al.
Published: (2024)
The Explicit Hypergeometric-Modularity Method II
by: Allen, Michael, et al.
Published: (2024)
by: Allen, Michael, et al.
Published: (2024)
Similar Items
-
Explicit Bound of $\pmb{|ζ\left(1+it\right)|}$
by: Qingyi, Eunice Hoo, et al.
Published: (2024) -
Explicit and Effective Estimates for the error term in the Generalised Divisor Problem
by: Palojärvi, Neea, et al.
Published: (2026) -
Explicit Upper Bounds on Decay Rates of Fourier Transforms of Self-similar Measures on Self-similar Sets
by: Lee, Ying Wai
Published: (2024) -
The Northcott Property for Composites of Number Fields of Bounded Degree
by: Castillo, Benjamín
Published: (2026) -
On the Generalised Divisor Problem
by: Tudzi, Sebastian
Published: (2025)