Cover Image

From crank to congruences

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Amdeberhan, Tewodros, Merca, Mircea
Format:	Preprint
Published:	2025
Subjects:	Number Theory 11P81 11P82 11P83
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

A note on congruences for the difference between even cranks and odd cranks
by: Guadalupe, Russelle
Published: (2025)

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

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

On the restricted $k$-multipartition function
by: Cimpoeas, Mircea, et al.
Published: (2024)

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

Determinants with Bernoulli polynomials and the restricted partition function
by: Cimpoeas, Mircea
Published: (2019)

On the restricted partition function via determinants with Bernoulli polynomials. II
by: Cimpoeas, Mircea
Published: (2019)

On the restricted partition function via determinants with Bernoulli polynomials
by: Cimpoeas, Mircea
Published: (2018)

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

Further Arithmetic Properties of Overcubic Partition Triples
by: Saikia, Manjil P., et al.
Published: (2024)

Arithmetic Properties modulo powers of $2$ and $3$ for Overpartition $k$-Tuples with Odd Parts
by: Das, Hirakjyoti, et al.
Published: (2024)

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

Parity of parts and excludant statistics in partitions
by: Mukherjee, Gargi
Published: (2026)

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

On asymptotic formula of the partition function $p_A(n)$
by: Christopher, David, et al.
Published: (2025)

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

Modularity of moments of reciprocal sums for partitions into distinct parts
by: Bringmann, Kathrin, et al.
Published: (2025)

Improved asymptotics for moments of reciprocal sums for partitions into distinct parts
by: Bringmann, Kathrin, et al.
Published: (2024)

Vanishing properties of Kloosterman sums and Dyson's conjectures
by: Sun, Qihang
Published: (2024)

Toward resolving Kang and Park's generalization of the Alder-Andrews Theorem
by: Sturman, Leah, et al.
Published: (2024)

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

Recurrence and congruences for the smallest parts function
by: Wang, Wei
Published: (2025)

Remarks on $d$-ary partitions and an application to elementary symmetric partitions
by: Cimpoeas, Mircea, et al.
Published: (2025)

A note on the number of plane partitions and $r$-component multipartitions of $n$
by: Cimpoeas, Mircea, et al.
Published: (2024)

A note on plane partition diamonds
by: Cimpoeas, Mircea, 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)

Transformation and symmetries for the Andrews-Garvan crank function
by: Sarma, Rishabh
Published: (2023)

d-Fold Partition Diamonds
by: Dockery, Dalen, et al.
Published: (2023)

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

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

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

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

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

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

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

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

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)

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

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