Cover Image

On simultaneous $(s, s+t, s+2t, \dots)$-core partitions

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Keith, William, Nath, Rishi, Sellers, James
Format:	Preprint
Published:	2025
Subjects:	Combinatorics 05A17, 11P81, 11P83
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Combinatorial proof of a congruence for partitions into two sizes of part
by: DeWitt, Eli R., et al.
Published: (2025)

$s$-Modular, $s$-congruent and $s$-duplicate partitions
by: Nadji, Mohammed L., et al.
Published: (2024)

Arithmetic properties of partition functions introduced by Pushpa and Vasuki
by: Nath, Hemjyoti, et al.
Published: (2025)

Arithmetic properties of MacMahon-type sums of divisors: the odd case
by: Sellers, James A., et al.
Published: (2025)

Simultaneous core partitions with nontrivial common divisor
by: Gramain, Jean-Baptiste, et al.
Published: (2019)

Hook lengths in self-conjugate partitions
by: Amdeberhan, Tewodros, et al.
Published: (2023)

Congruences for an analogue of Lin's partition function
by: Guadalupe, Russelle
Published: (2025)

Remarks on a certain restricted partition function of Lin
by: Guadalupe, Russelle
Published: (2025)

On the number of missing integers in partitions
by: Bhoria, Subhash Chand, et al.
Published: (2026)

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

Congruences modulo $7$ and $11$ for certain two restricted partition functions
by: Guadalupe, Russelle
Published: (2025)

$M$-ary partition polynomials
by: Żmija, Błażej
Published: (2024)

Divisibility properties of weighted $k$ regular partitions
by: Banerjee, Debika, et al.
Published: (2025)

High order congruences for $M$-ary partitions
by: Żmija, Błażej
Published: (2024)

Arithmetic properties of $k$-tuple $\ell$-regular partitions
by: Nath, Hemjyoti, et al.
Published: (2024)

New arithmetic properties for overpartitions where nonoverlined parts are $\ell$-regular
by: Nath, Hemjyoti, et al.
Published: (2025)

Congruences and density results for partitions into distinct even parts
by: Nath, Hemjyoti, et al.
Published: (2025)

Some $q$-hypergeometric identities associated with partition theorems of Lebesgue, Schur and Capparelli
by: Alamoudi, Yazan, et al.
Published: (2025)

New Infinite Families of Congruences Modulo Powers of 2 for 2--Regular Partitions with Designated Summands
by: Sellers, James A.
Published: (2023)

A note on congruences for the difference between even cranks and odd cranks
by: Guadalupe, Russelle
Published: (2025)

On a nonnegativity conjecture of Andrews
by: Alamoudi, Yazan
Published: (2025)

Partitions with parts separated by parity: conjugation, congruences and the mock theta functions
by: Fu, Shishuo, et al.
Published: (2023)

On congruence conjectures of Andrews and Bachraoui
by: Banerjee, Koustav, et al.
Published: (2026)

A note on odd partition numbers
by: Griffin, Michael, et al.
Published: (2024)

On partitions with bounded largest part and fixed integral GBG-rank modulo primes
by: Berkovich, Alexander, et al.
Published: (2023)

Infinite families of congruences for the second order mock theta function $\mathcal{B}(q)$
by: Nath, Hemjyoti, et al.
Published: (2025)

Extending recent work of Nath, Saikia, and Sarma on $k$-tuple $\ell$-regular partitions
by: Paudel, Bishnu, et al.
Published: (2025)

Congruences for two-color partitions with odd smallest part
by: Andrews, George E., et al.
Published: (2024)

Remarks on $d$-ary partitions and an application to elementary symmetric partitions
by: Cimpoeas, Mircea, et al.
Published: (2025)

Congruences for hook lengths of partitions
by: Jouhet, Frédéric, et al.
Published: (2025)

Arithmetic properties of $5$-regular partitions into distinct parts
by: Baruah, Nayandeep Deka, et al.
Published: (2024)

Elementary Proofs and Generalizations of Recent Congruences of Thejitha and Fathima
by: Sellers, James A.
Published: (2025)

An Elementary Proof of a Conjecture of Saikia on Congruences for $t$--Colored Overpartitions
by: Sellers, James A.
Published: (2023)

A note on plane partition diamonds
by: Cimpoeas, Mircea, et al.
Published: (2024)

A bijective proof of an identity of Berkovich and Uncu
by: Dhar, Aritram, et al.
Published: (2023)

A note on the number of plane partitions and $r$-component multipartitions of $n$
by: Cimpoeas, Mircea, et al.
Published: (2024)

Sign Patterns and Congruences of certain infinite products involving the Rogers-Ramanujan continued fraction
by: Baruah, Nayandeep Deka, et al.
Published: (2025)

Arithmetic Identities for Some Analogs of $5$-core Partition Function
by: Bandyopadhyay, Subhajit, et al.
Published: (2024)

A Family of Congruences Modulo 7 for Partitions with Monochromatic Even Parts and Multi--Colored Odd Parts
by: Hirschhorn, Michael D., et al.
Published: (2025)

Congruences for the coefficients of the Gordon and McIntosh mock theta function $ξ(q)$
by: da Silva, Robson, et al.
Published: (2020)