Image de couverture de livre

Bounds on the $p$-adic valuation of the factorial, hyperfactorial and superfactorial

Fuente: arXiv

Enregistré dans:

Détails bibliographiques
Auteur principal:	Pain, Jean-Christophe
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 the $p$-adic valuations of values of Legendre polynomials
par: Alekseyev, Max A., et autres
Publié: (2025)

Integral representations of the Riemann zeta function of odd argument
par: Pain, Jean-Christophe
Publié: (2024)

Estimates of the minimum of the Gamma function using the Lagrange inversion theorem and the Faà di Bruno formula
par: Pain, Jean-Christophe
Publié: (2024)

A derivation of Dickson polynomials using the Cayley-Hamilton theorem
par: Pain, Jean-Christophe
Publié: (2024)

Expression of Farhi's integral in terms of known mathematical constants
par: Pain, Jean-Christophe
Publié: (2024)

An involutive perspective on Eisenstein's proof of quadratic reciprocity
par: Pain, Jean-Christophe
Publié: (2026)

A proof of Wolstenholme's theorem and congruence properties via an Egorychev-type integral
par: Pain, Jean-Christophe
Publié: (2026)

Explicit formulas for Euler's totient function and the number of divisors
par: Pain, Jean-Christophe
Publié: (2025)

Generalized relations between arithmetic functions
par: Pain, Jean-Christophe
Publié: (2026)

Asymptotic equivalents of partial sums of the reciprocals of prime numbers via the von Mangoldt function
par: Pain, Jean-Christophe
Publié: (2025)

Integral representations of Catalan numbers using Touchard-like identities
par: Pain, Jean-Christophe
Publié: (2024)

An integral representation of Catalan numbers using Malmstén's formula
par: Pain, Jean-Christophe
Publié: (2024)

A sum rule for derangements
par: Pain, Jean-Christophe
Publié: (2025)

Eulerian polynomials and the alternating sum of excedances
par: Pain, Jean-Christophe
Publié: (2026)

Steganographic information hiding via symmetric numerical semigroups
par: Pain, Jean-Christophe
Publié: (2026)

Touchard's identity and a detailed determination of the radius of convergence of the Catalan series
par: Pain, Jean-Christophe
Publié: (2026)

Recovering p-adic valuations from pro-p Galois groups
par: Koenigsmann, Jochen, et autres
Publié: (2015)

On the $p$-adic valuation of third order linear recurrence sequences
par: Antony, Deepa, et autres
Publié: (2024)

$p$-adic valuation of harmonic sums and their connections with Wolstenholme primes
par: Carofiglio, Leonardo, et autres
Publié: (2023)

Congruence properties of prime sums and Bernoulli polynomials
par: Pain, Jean-Christophe
Publié: (2025)

Transcendence and algebraic independence of a family of $p$-adic valuation generating functions
par: Lam, Kelvin
Publié: (2025)

The 3-adic valuations of Stirling numbers of the first kind
par: Qiu, Min, et autres
Publié: (2021)

Some restricted partition functions in terms of 2-adic valuation
par: Biswas, Sabi, et autres
Publié: (2024)

Stability of $p$-adic valuations of Hecke L-values
par: He, Wei
Publié: (2023)

The 2-adic valuation of the general degree 2 polynomial in 2 variables
par: Shubham
Publié: (2022)

On non-holonomicity, transcendence and $p$-adic valuations
par: Cobeli, Cristian, et autres
Publié: (2024)

A family of integrals related to values of the Riemann zeta function
par: Kumar, Rahul, et autres
Publié: (2024)

The $p$-adic valuation of local resolvents, generalized Gauss sums and anticyclotomic Hecke $L$-values of imaginary quadratic fields at inert primes
par: Burungale, Ashay, et autres
Publié: (2025)

The 2-adic valuations of the algebraic central $L$-values for quadratic twists of weight 2 newforms
par: Adachi, Taiga, et autres
Publié: (2024)

On the $2$-adic valuation of $σ_k(n)$
par: Cheng, Kaimin, et autres
Publié: (2026)

Transcendence of $p$-adic continued fractions and a quantitative $p$-adic Roth theorem
par: Kalitzin, Anne, et autres
Publié: (2026)

On the irreducibility of $p$-adic Banach principal series of $p$-adic $\mathrm{GL}_3$
par: Abe, Noriyuki, et autres
Publié: (2023)

On $p$-adic Minkowski's Theorems
par: Deng, Yingpu
Publié: (2024)

On $p$-adic Transference Theorem
par: Zhang, Chi
Publié: (2024)

Derived $p$-adic heights and the leading coefficient of the Bertolini--Darmon--Prasanna $p$-adic $L$-function
par: Castella, Francesc, et autres
Publié: (2023)

Parametrization and reduction to depth zero of $\overline{\mathbb{Z}}[\frac{1}{p}]$-blocks of tame $p$-adic groups
par: Dat, Jean-François, et autres
Publié: (2026)

The Proportion of Irreducible p-adic Polynomials
par: Rajagopal, Isaac
Publié: (2024)

$p$-adic Principal Component Analysis
par: Mihara, Tomoki
Publié: (2026)

An introduction to $p$-adic $L$-functions
par: Jacinto, Joaquín Rodrigues, et autres
Publié: (2023)

Horizontal $p$-adic $L$-functions
par: Kriz, Daniel, et autres
Publié: (2023)