Image de couverture de livre

The distribution of $\gcd(n,ϕ(n))$

Fuente: arXiv

Enregistré dans:

Détails bibliographiques
Auteur principal:	Stucky, Joshua
Format:	Preprint
Publié:	2024
Sujets:	Number Theory
Accès en ligne:	Acceder al recurso
Tags:	Ajouter un tag Pas de tags, Soyez le premier à ajouter un tag!

Documents similaires

On Positive Integers $n$ with $ϕ(n)=\frac{2}{3} \cdot (n+1)$
par: Hercher, Christian
Publié: (2025)

On the distribution of $ϕ(σ(n))$
par: Bhattacharjee, Saunak, et autres
Publié: (2024)

The fourth moment of quadratic Dirichlet $L$-Functions II
par: Shen, Quanli, et autres
Publié: (2024)

Isomorphic gcd-graphs over polynomial rings
par: Mináč, Ján, et autres
Publié: (2024)

On the Limiting Density of a gcd Map
par: Ern, Thang Pang, et autres
Publié: (2025)

On gcd-graphs over finite rings
par: Nguyen, Tung T., et autres
Publié: (2025)

Factorization of power GCD matrices and power LCM matrices on certain gcd-closed sets
par: Zhu, Guangyan, et autres
Publié: (2025)

Divisibility among power GCD and power LCM matrices on certain gcd-closed sets
par: Wan, Jixiang, et autres
Publié: (2025)

The distribution of $d_4(n)$ in arithmetic progressions
par: Parry, Tomos
Publié: (2024)

On the distribution of the sequence of integers $d(n^2)$
par: Kampamolla, Venkatasubbareddy, et autres
Publié: (2025)

Proof of Hong's conjecture on divisibility among power GCD and power LCM matrices on gcd-closed sets
par: Zhu, Guangyan
Publié: (2026)

On the Parity of the Generalized Frobenius Partition Functions $ϕ_k(n)$
par: Andrews, George E., et autres
Publié: (2022)

A note on the distribution of $d_3(n)$ in arithmetic progressions
par: Parry, Tomos
Publié: (2024)

Around the gcd of the values of two polynomials
par: Bodin, Arnaud, et autres
Publié: (2024)

On a property of the polynomials $x^n + (1-x)^n + a^n$
par: Karapetyan, Hayk
Publié: (2025)

On the size of $\{a: 1\leq a<n, n|a^2-1, a|n^2-1\}$ for number $n$
par: Cherukupally, Srikanth
Publié: (2026)

Asymptotic Growth of $(-1)^{r} Δ^r \log \sqrt[n]{\overline{p}(n)/n^α}$ and the Reverse Higher Order Turán Inequalities for $\sqrt[n]{\overline{p}(n)/n^α}$
par: Mukherjee, Gargi
Publié: (2024)

Algebraic representatives of the ratios $ζ(2n+1)/π^{2n}$ and $β(2n)/π^{2n-1}$
par: Waffo, Luc Ramsès Talla
Publié: (2026)

Lower bounds on expressions dependent on functions $φ(n)$, $ψ(n)$ and $σ(n)$, II
par: Dimitrov, S. I.
Publié: (2024)

On the distribution of $αp^2$ modulo one over primes of the form $[n^c]$
par: Dimitrov, S. I., et autres
Publié: (2025)

On the distribution of the strongly multiplicative function $2^{ω(n)}$ on the set of natural numbers
par: Venkatasubbareddy, K., et autres
Publié: (2025)

Behaviour of the sequence $\vartheta_n = \vartheta(p_n)$
par: Visser, Matt
Publié: (2025)

Perspectives on the arithmetic nature of the ratios $ζ(2n + 1)/π^{2n+1}$ and $β(2n)/π^{2n}$
par: Waffo, Luc Ramsès Talla
Publié: (2025)

Number of solutions to $a^x+b^y=c^z$ with $\gcd(a,b)>1$
par: Scott, Reese, et autres
Publié: (2024)

The number of preimages of iterates of $ϕ$ and $σ$
par: Akande, Agbolade Patrick
Publié: (2024)

Introduction to Automorphic Forms for $GL(n,\BZ)\ltimes \BZ^{(m,n)}$
par: Yang, Jae-Hyun
Publié: (2023)

On the Density of naturals $n$ coprime to $\lfloor P(n) \rfloor$ for certain Classes of Polynomials
par: Chatterjee, Aahan
Publié: (2024)

On the Exponential Diophantine Equation $(a^n-1)(b^n-1)=x^2$
par: Noubissie, Armand, et autres
Publié: (2025)

On the $\mathrm{Sp}_{2n}$-distinguished automorphic spectrum of $\mathrm{U}_{2n}$
par: Wang, Kewen, et autres
Publié: (2024)

The local converse theorem for quasi-split $O_{2n}$ and $SO_{2n}$
par: Haan, Jaeho, et autres
Publié: (2023)

Idempotents of $\mathbb{Z}_n$
par: Mondal, Suman, et autres
Publié: (2024)

The n-th prime exponentially
par: Visser, Matt
Publié: (2025)

On the gcd graphs over polynomial rings
par: Mináč, Ján, et autres
Publié: (2024)

How often are $ \lfloor {n^α} \rfloor $ and $ \lfloor {n^β} \rfloor $ simultaneously primes?
par: Dixit, Anup B., et autres
Publié: (2025)

Period relations for Rankin-Selberg convolutions for $\mathrm{GL}(n)\times\mathrm{GL}(n)$
par: Jin, Yubo, et autres
Publié: (2025)

Sur la somme de Möbius $\sum_{n \leqslant x} μ(n)n^{-s}$ autour de $s=1$ et des sommes dérivées, première étude
par: Daval, Florian
Publié: (2024)

Anticyclotomic $p$-adic $L$-functions for Coleman families of $U_{n+1} \times U_{n}$
par: Dimitrakopoulou, Xenia
Publié: (2023)

The Fourier-Jacobi Periods : The case of $Mp(2n+2r) \times Sp(2n)$
par: Haan, Jaeho
Publié: (2022)

On the cohomology of SL$_n(\mathbb{Z})$
par: Ash, Avner
Publié: (2024)

$S_n$-extensions with prescribed norms
par: Monnet, Sebastian
Publié: (2024)