Cover Image

On the number of missing integers in partitions

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Bhoria, Subhash Chand, Eyyunni, Pramod, Santra, Subhrangsu
Format:	Preprint
Published:	2026
Subjects:	Combinatorics Number Theory 11P81, 11P83, 11P84, 05A17
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

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

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

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

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

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

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

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

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

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

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

Partitions with unique largest part and their generating functions
by: Kaur, H, et al.
Published: (2025)

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

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

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

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

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)

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

Elementary symmetric polynomials and a potentially injective family of maps on partitions
by: Devnani, Aman, et al.
Published: (2026)

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

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

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

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

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

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

On Glaisher's Partition Theorem
by: Andrews, George E., et al.
Published: (2025)

A note on the number of partitions of $n$ into $k$ parts
by: Cimpoeas, Mircea
Published: (2021)

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)

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

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

SIP classes and four-parameter partition identities
by: Li, Runqiao
Published: (2026)

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

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

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

Block-Separated Overpartitions: Fibonacci Structure and Euler Factorization
by: Mehiri, El-Mehdi
Published: (2025)

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

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