Cover Image

Elementary Proofs of Recent Congruences for Overpartitions Wherein Non-Overlined Parts are Not Divisible by 6

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Paudel, Bishnu, Sellers, James A., Wang, Haiyang
Format:	Preprint
Published:	2025
Subjects:	Number Theory Combinatorics 11P83, 05A17
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Extending Recent Congruence Results on $(\ell,μ)$-Regular Overpartitions
by: Paudel, Bishnu, et al.
Published: (2025)

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

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

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

Elementary Proofs of Two Congruences for Partitions with Odd Parts Repeated at Most Twice
by: Sellers, James A.
Published: (2024)

Elementary Proofs of Congruences for POND and PEND Partitions
by: Sellers, James A.
Published: (2023)

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

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

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)

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

An Unexpected Congruence Modulo 5 for 4--Colored Generalized Frobenius Partitions
by: Sellers, James A.
Published: (2013)

Unique path partitions: Characterization and Congruences
by: Bessenrodt, Christine, et al.
Published: (2011)

Congruences modulo powers of $3$ for $6$-colored generalized Frobenius partitions
by: Chen, Dandan, et al.
Published: (2025)

Parity Considerations for Mex-Related Partition Functions of Andrews and Newman
by: da Silva, Robson, et al.
Published: (2020)

Congruences modulo powers of $3$ for generalized Frobenius partitions $CΨ_{6,0}$
by: Chen, Dandan, et al.
Published: (2025)

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

On the Parity of the Generalized Frobenius Partition Functions $ϕ_k(n)$
by: Andrews, George E., et al.
Published: (2022)

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

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

Congruences modulo powers of $7$ for $k$-elongated plane partitions
by: Chen, Dandan, et al.
Published: (2025)

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

Congruences modulo powers of $2$ for three restricted partition functions of Pushpa and Vasuki
by: Guadalupe, Russelle
Published: (2026)

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

Additional Congruences for generalized Color Partitions of Hirschhorn and Sellers
by: Johnson, Anjelin Mariya, et al.
Published: (2025)

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

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

Overcolored Partition Restricted by Parity of the Parts
by: Thejitha, M. P., et al.
Published: (2026)

Biases in Non-Unitary Partitions
by: Mahanta, Pankaj Jyoti, et al.
Published: (2023)

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

An infinite family of internal congruences modulo powers of 2 for partitions into odd parts with designated summands
by: Chern, Shane, et al.
Published: (2023)

Overpartitions and Kaur, Rana, and Eyyunni's mex sequences
by: Hopkins, Brian, et al.
Published: (2025)

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

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

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

The $k$-elongated plane partition function modulo small powers of $5$
by: Guadalupe, Russelle
Published: (2025)

A conjecture of Radu and Sellers on congruences modulo powers of 2 for broken 3-diamond partitions
by: Chen, Dandan, et al.
Published: (2024)

An easy proof of Ramanujan's famous congruences $p(5m+4)\equiv 0 \equiv τ(5m+5) \pmod 5$
by: Bal, Hartosh Singh, et al.
Published: (2025)

On Minimal Excludant over Overpartitions
by: Donato, Judy Ann
Published: (2025)

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