Cover Image

A proof of Wolstenholme's theorem and congruence properties via an Egorychev-type integral

Fuente: arXiv

Saved in:

Bibliographic Details
Main Author:	Pain, Jean-Christophe
Format:	Preprint
Published:	2026
Subjects:	Number Theory
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

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

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

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

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

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

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

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

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

Generalized relations between arithmetic functions
by: Pain, Jean-Christophe
Published: (2026)

Bounds on the $p$-adic valuation of the factorial, hyperfactorial and superfactorial
by: Pain, Jean-Christophe
Published: (2024)

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

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

A sum rule for derangements
by: Pain, Jean-Christophe
Published: (2025)

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

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

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

Wolstenholme's theorem over Gaussian integers
by: Kalinin, Nikita
Published: (2025)

A family of integrals related to values of the Riemann zeta function
by: Kumar, Rahul, et al.
Published: (2024)

The Fermat's and Euler's congruence theorems
by: Koner, Sourav, et al.
Published: (2020)

$p$-adic valuation of harmonic sums and their connections with Wolstenholme primes
by: Carofiglio, Leonardo, et al.
Published: (2023)

Partial Lucas-type congruences
by: Straub, Armin
Published: (2025)

An elementary proof of Newman's eta-quotient theorem
by: Savitt, David
Published: (2025)

An elementary proof of the local Kronecker-Weber theorem
by: Koenigsmann, Jochen, et al.
Published: (2022)

A simple proof of the Atkin-O'Brien partition congruence conjecture for powers of 13
by: Garvan, Frank, et al.
Published: (2025)

On the congruence properties and growth rate of a recursively defined sequence
by: van Doorn, Wouter
Published: (2024)

On congruence properties of poly-Bernoulli numbers with negative upper-indices
by: Ohno, Yasuo, et al.
Published: (2024)

Beyond Wolstenholme's Theorem
by: Cinkir, Zubeyir
Published: (2023)

On a Kurzweil type theorem via ubiquity
by: Kim, Taehyeong
Published: (2023)

Counting elements of the congruence subgroup
by: Bulinski, Kamil, et al.
Published: (2023)

A new proof of Chen's theorem for Markoff graphs
by: Martin, Daniel E.
Published: (2025)

New proofs of theorems on q-orthogonal functions
by: Chen, Dandan, et al.
Published: (2024)

Lattice coverings and homogeneous covering congruences
by: Cremona, J. E., et al.
Published: (2026)

Scarcity of partition congruences on semiprime progressions
by: Ahlgren, Scott, et al.
Published: (2025)

Vanishing of Poincaré series for congruence subgroups
by: Kimmel, Noam
Published: (2024)

Short Solutions To Homogenous Linear congruences
by: Simhi, Omer
Published: (2024)

The congruence subgroup property for $S$-arithmetic subgroups of simple algebraic groups when $S$ has positive Dirichlet density
by: Rapinchuk, Andrei S.
Published: (2026)

New Ramanujan-type congruences for overpartitions modulo $11$ and $13$
by: Wei, XuanLing
Published: (2026)

A converse theorem in half-integral weight
by: Creech, Steven, et al.
Published: (2023)

Dwork congruences via q-deformation
by: Kartik, Pavan, et al.
Published: (2025)

Explicit families of congruences for the overpartition function
by: Ryan, Nathan C., et al.
Published: (2023)