Cover Image

Quasi-modularity in MacMahon partition variants and prime detection

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Kang, Soon-Yi, Matsusaka, Toshiki, Shin, Gyucheol
Format:	Preprint
Published:	2024
Subjects:	Number Theory Combinatorics Primary 11P81, 05A17, Secondary 11F27
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
by: Sellers, James A., et al.
Published: (2024)

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

MacMahonesque partition functions detect sets related to primes
by: Gomez, Kevin
Published: (2024)

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

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

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

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

Integer partitions detect the primes
by: Craig, William, et al.
Published: (2024)

On hook length biases in $t$-regular partitions
by: Barman, Rupam, et al.
Published: (2024)

Moments of partition statistics, Bell polynomials and Eisenstein-type series
by: Kang, Soon-Yi, et al.
Published: (2026)

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

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

Residue class biases in unrestricted partitions, partitions into distinct parts, and overpartitions
by: Schlosser, Michael J., et al.
Published: (2024)

A MacMahon Analysis View of Cylindric Partitions
by: Li, Runqiao, et al.
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)

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

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

Hyperbinary partitions and q-deformed rationals
by: McConville, Thomas, et al.
Published: (2025)

On the $k$th smallest part of a partition into distinct parts
by: Gupta, Rajat, et al.
Published: (2024)

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

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

Rectangle partitions generalizing integer partitions
by: Gajdzica, Krystian, et al.
Published: (2025)

On $P$-partitions Extended by Two-Rowed Plane Partitions
by: Li, Jingxuan, et al.
Published: (2024)

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

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

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

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

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

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

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

Combinatorial Interpretations of Cranks of Overpartitions and Partitions without Repeated Odd Parts
by: Garvan, Frank G., et al.
Published: (2024)

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

Two-color partitions and overpartitions: a combinatorial proof
by: Bugleev, Anton
Published: (2025)

Denominator identity for the affine Lie superalgebra $\widehat{\mathfrak{spo}}(2m,2m+1)$ and indefinite theta functions
by: Matsusaka, Toshiki, et al.
Published: (2025)

Indefinite theta functions arising from affine Lie superalgebras and sums of triangular numbers
by: Matsusaka, Toshiki, et al.
Published: (2025)

Polynomials and algebraic curves related to certain binary and $b$-ary overpartitions
by: Dilcher, Karl, et al.
Published: (2024)

Three more proofs of two congruences for Merca's partition function
by: Zanello, Fabrizio
Published: (2025)

Euler-type recurrences for $t$-color and $t$-regular partition functions
by: Bhowmik, Tapas, et al.
Published: (2024)

Twin primes and the $3$-sphere
by: Hambleton, Samuel A.
Published: (2024)

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