Cover Image

Congruences for sums involving $\binom{rk}{k}$

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Mattarei, Sandro, Tauraso, Roberto
Format:	Preprint
Published:	2025
Subjects:	Number Theory 11A07 (Primary) 05A10, 05A15 (Secondary)
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Congruences for sums of MacMahon's $q$-Catalan polynomials
by: Amdeberhan, Tewodros, et al.
Published: (2024)

Solvability of $\binom{2k}{k} = \binom{2a}{a} \binom{x+2b}{b}$
by: Allen, Meaghan
Published: (2024)

Congruences for the Apéry numbers modulo $p^3$
by: Sun, Zhi-Hong
Published: (2024)

Evaluations of some series of the type $\sum_{k=0}^\infty(ak+b)x^k/\binom{mk}{nk}$
by: Sun, Zhi-Wei
Published: (2022)

A method for determining the mod-$p^k$ behaviour of recursive sequences
by: Krattenthaler, Christian, et al.
Published: (2015)

A $q$-analogue of the Koecher-Leshchiner generating function of odd zeta values
by: Tauraso, Roberto
Published: (2025)

Arithmetic properties of MacMahon-type sums of divisors
by: Sellers, James A., et al.
Published: (2024)

Simple Proof of the Primitive Root Conjecture
by: Carella, N. A.
Published: (2017)

$q$-analogs of rational numbers: from Ostrowski numeration systems to perfect matchings
by: Aval, Jean-Christophe, et al.
Published: (2025)

Covering systems with the sum of the reciprocals of the moduli close to $1$
by: Filaseta, Michael, et al.
Published: (2024)

Some Congruences Involving Fourth Powers of Generalized Central Trinomial Coefficients
by: Otmani, Yassine, et al.
Published: (2025)

Abel's problem, Gauss and Cartier congruences over number fields
by: Delaygue, Éric, et al.
Published: (2025)

The family of $a$-floor quotient partial orders
by: Lagarias, Jeffrey C., et al.
Published: (2024)

The Frobenius problem for Numerical Semigroups generated by binomial coefficients
by: Hwang, WonTae, et al.
Published: (2024)

Power-Partible Reduction and Congruences for Apéry Numbers
by: Wang, Rong-Hua, et al.
Published: (2023)

Reciprocity of Skew Hall-Littlewood-Schubert Series
by: Adin, Ron M., et al.
Published: (2026)

Families of Congruences for Partitions with $k$-colored odd parts
by: Wilson, Samuel
Published: (2026)

Generalizations of Euler's $φ$-function with respect to systems of polynomials of several variables
by: Csizmazia, Norbert, et al.
Published: (2025)

Nilpotent polynomials over $\mathbb{Z}$
by: Sengupta, Sayak
Published: (2024)

A solution to a Paul Erdos problem
by: Abramov, Vyacheslav M.
Published: (2025)

A proposed crank for $(k+j)$-colored partitions, with $j$ colors having distinct parts
by: Wilson, Samuel
Published: (2024)

Evaluations of $ \sum_{k=1}^\infty \frac{x^k}{k^2\binom{3k}{k}}$ and related series
by: Sun, Zhi-Wei, et al.
Published: (2024)

Finite $q$-multiple harmonic sums on $1-\cdots-1,A,1-\cdots-1$ indices
by: Ishikawa, Hideaki, et al.
Published: (2026)

An Orthogonal View of Gaußian Polynomials
by: Krattenthaler, Christian, et al.
Published: (2025)

Closed-Form Formula for the Partition Function and Related Functions
by: Nader, Alfredo
Published: (2024)

Gaps of Binary Numerical Semigroups and of Binary Inclusion-Exclusion Polynomials
by: Bachman, Gennady
Published: (2026)

Elementary Proofs of Infinitely Many Congruences for $k$-Elongated Partition Diamonds
by: da Silva, Robson, et al.
Published: (2021)

On Legendre Cordial Labeling of Complete Graphs
by: Andoyo, J. D.
Published: (2025)

Counting primes with a given primitive root, uniformly
by: Fan, Steve, et al.
Published: (2025)

Intervals in the greedy Tamari posets
by: Bousquet-Mélou, Mireille, et al.
Published: (2023)

Positive $m$-divisible non-crossing partitions and their Kreweras maps
by: Krattenthaler, Christian, et al.
Published: (2025)

The extended Frobenius problem for Lucas series incremented by a Lucas number
by: Robles-Pérez, Aureliano M., et al.
Published: (2022)

A Weighted Words Study of MacMahon's and Russell's Modulo 6 Identities
by: Uncu, Ali K.
Published: (2026)

Zig-zag Eulerian polynomials
by: Petersen, T. Kyle, et al.
Published: (2024)

On a theorem of Kanold on odd perfect numbers
by: Yamada, Tomohiro
Published: (2023)

A subfamily of skew Dyck paths related to $k$-ary trees
by: Zhang, Yuxuan, et al.
Published: (2023)

Discrete restrictions from Laurent monomial systems for multiple Dirichlet series
by: Hua, Shenghao
Published: (2025)

Congruence speed of tetration bases ending with $0$
by: Ripà, Marco
Published: (2024)

Solution to the Erdos problem on distinct residues of factorials
by: Abramov, Vyacheslav M.
Published: (2026)

Arndt and Carlitz Compositions
by: Hopkins, Brian, et al.
Published: (2025)