Cover Image

Arithmetic properties of MacMahon-type sums of divisors

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Sellers, James A., Tauraso, Roberto
Format:	Preprint
Published:	2024
Subjects:	Number Theory Combinatorics Primary 11P83, Secondary 11P81, 05A17
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

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

Further study on MacMahon-type sums of divisors
by: Amdeberhan, Tewodros, et al.
Published: (2024)

Quasi-modularity in MacMahon partition variants and prime detection
by: Kang, Soon-Yi, et al.
Published: (2024)

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

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

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

Certain infinite products in terms of MacMahon type series
by: Jin, Seokho, et al.
Published: (2024)

$q$-Binomial expansions of the truncated MacMahon's $q$-series
by: Liu, Ji-Cai
Published: (2025)

A Note on the Number of Representations of $n$ as a Sum of Generalized Polygonal Numbers
by: Bandyopadhyay, Subhajit, et al.
Published: (2024)

The $n$-Color Partition Function and Some Counting Theorems
by: Bandyopadhyay, Subhajit, et al.
Published: (2024)

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

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

On simultaneous $(s, s+t, s+2t, \dots)$-core partitions
by: Keith, William, et al.
Published: (2025)

Enumeration modulo 4 of overpartitions wherein only even parts can be overlined
by: Carlson, Aidan, et al.
Published: (2024)

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

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

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

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

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

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

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

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

A refinement of a result of Andrews and Newman on the sum of minimal excludants
by: Baruah, Nayandeep Deka, et al.
Published: (2021)

Arithmetic Properties of Andrews' Singular Overpartitions
by: Chen, Shi-Chao, et al.
Published: (2014)

Arithmetic Properties of Colored Partitions Restricted by Parity of the Parts
by: Thejitha, M. P., et al.
Published: (2026)

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

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

Quasimodularity and Limiting Behavior for Variations of MacMahon Series
by: Nazaroglu, Caner, et al.
Published: (2025)

MacMahon-type $q$-series
by: Merca, Mircea
Published: (2025)

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

Rectangle partitions generalizing integer partitions
by: Gajdzica, Krystian, 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)

Unexpected Biases between Congruence Classes for Parts in k-indivisible Partitions
by: Jackson, Faye, et al.
Published: (2022)

An Exploration of Crank Generating functions for $t$-core partitions
by: Wilson, Samuel
Published: (2026)

Congruences via Partitions with Exactly Two Part Sizes
by: Jirattikansakul, Sittinon, et al.
Published: (2026)

Extending Congruences for the number of smallest parts in overpartitions with smallest part even
by: da Silva, Robson
Published: (2025)

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

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