Cover Image

Residue class biases in unrestricted partitions, partitions into distinct parts, and overpartitions

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Schlosser, Michael J., Zhou, Nian Hong
Format:	Preprint
Published:	2024
Subjects:	Combinatorics Classical Analysis and ODEs Number Theory 05A17 (Primary) 11P81 (Secondary)
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

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

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

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

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

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

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

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

On the biases and asymptotics of partitions with finite choices of parts
by: Li, Jiyou, et al.
Published: (2024)

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

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

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

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

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

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

Relations for partitions with distinct even parts except the largest part which is even
by: Bardhan, Gaurab, et al.
Published: (2026)

Theta functions and transformations of bilateral basic hypergeometric series
by: Zhou, Nian Hong
Published: (2026)

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

Separable integer partition classes and Slater's list -- I
by: Dhar, Aritram, et al.
Published: (2026)

Moments of partition statistics, Bell polynomials and Eisenstein-type series
by: Kang, Soon-Yi, 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)

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

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

On the Bessenrodt-Ono type inequality for a wide class of $A$-partition functions
by: Gajdzica, Krystian
Published: (2024)

Combinatorial proofs of inequalities involving the number of partitions with parts separated by parity
by: Ballantine, Cristina, et al.
Published: (2024)

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

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

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

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

Identities involving partitions with distinct even parts and $4$-regular partitions
by: Andrews, George E., et al.
Published: (2024)

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

Fixed perimeter analogues of some partition results
by: Gray, Gabriel, et al.
Published: (2025)

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

Divisibility properties of weighted $k$ regular partitions
by: Banerjee, Debika, 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)

Finite analogs of partition bias related to hook length two and a variant of Sylvester's map
by: Berkovich, Alexander, et al.
Published: (2025)

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

Non-Rascoe partitions and a rank parity function associated to the Rogers-Ramanujan partitions
by: Dixit, Atul, et al.
Published: (2025)