Cover Image

Legendre theorems for certain overpartitions and overpartition pairs

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Andrews, George E., Bachraoui, Mohamed El
Format:	Preprint
Published:	2024
Subjects:	Number Theory 11P81, 05A17, 11D09
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

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

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

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

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

On new minimal excludants of overpartitions related to some $q$-series of Ramanujan
by: Dhar, Aritram, et al.
Published: (2024)

Reciprocals of Subsum Polynomials
by: Ballantine, Cristina, et al.
Published: (2026)

Arithmetic properties of $2^α-$Regular overpartition pairs
by: B., Hemanthkumar, et al.
Published: (2025)

Some new congruences on biregular overpartitions
by: Meher, N. K.
Published: (2025)

Certain positive $q$-series and inequalities for two-color partitions
by: Andrews, George E., et al.
Published: (2025)

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

Rank deviations for overpartitions
by: Lovejoy, Jeremy, et al.
Published: (2023)

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

Further results on arithmetic properties of biregular overpartitions
by: Ghoshal, Suparno, 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)

Generalized rank deviations for overpartitions
by: Allen, Kevin, et al.
Published: (2025)

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

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

Combinatorial proofs of some identities on overpartitions with repeated smallest non-overlined part
by: Baruah, Nayandeep Deka, et al.
Published: (2026)

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

A conjecture of Nadji, Ahmia and Ram\'ırez on congruences for biregular overpartitions
by: Tang, Dazhao
Published: (2025)

Arithmetic properties modulo powers of $2$ for overpartition $k$-tuples with odd parts
by: Saikia, Manjil P., et al.
Published: (2023)

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

A note on odd partition numbers
by: Griffin, Michael, 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)

End behavior of Ramanujan's taxicab numbers
by: Benfield, Brennan, et al.
Published: (2024)

Reciprocals of Partition Polynomials
by: Chen, Evan, et al.
Published: (2026)

Quasimodular forms that detect primes are Eisenstein
by: van Ittersum, Jan-Willem, et al.
Published: (2025)

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

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

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

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

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

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

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)

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

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)

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

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