Andrews-Beck type congruences modulo arbitrary powers of 5 for 2-colored partitions

Combinatorial aspects of partitions of integers (05A17) Partitions; congruences and congruential restrictions (11P83) Elementary theory of partitions (11P81)

Cites Work

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Powers of Euler's product and related identities
On a generalized crank for \(k\)-colored partitions
Variations of Andrews-Beck type congruences
Weighted generalized crank moments for \(k\)-colored partitions and Andrews-Beck type congruences
Weighted partition rank and crank moments. II: Odd-order moments
Proofs of some conjectures of Chan-Mao-Osburn on Beck's partition statistics
On the total number of parts functions associated with ranks of partitions modulo 5 and 7
On total number parts functions associated to ranks of overpartitions
Proof of a Lin-Peng-Toh's conjecture on an Andrews-Beck type congruence
Ramanujans Vermutung über Zerfällungsanzahlen.
Congruences for Andrews-Beck partition statistics modulo powers of primes
Dyson’s crank of a partition
Newman's identities, lucas sequences and congruences for certain partition functions
Weighted partition rank and crank moments. III. A list of Andrews–Beck type congruences modulo 5, 7, 11 and 13
An Identity for the Coefficients of Certain Modular Forms
The Ramanujan–Dyson identities and George Beck’s congruence conjectures
A proof of Mao's conjecture on an identity of Beck's partition statistics
On the total number of ones of partitions associated to cranks
Proofs of two conjectural Andrews–Beck type congruences due to Lin, Peng and Toh
Some identities on Beck's partition statistics
Andrews-Beck type congruences modulo 2 and 4 for Beck's partition statistics
Some identities for Lin-Peng-Toh's \(k\)-colored partition statistic
Andrews-Beck type congrences modulo powers of 5
A proof of a conjecture of Mao on Beck's partition statistics modulo 8
Weighted partition rank and crank moments. I: Andrews-Beck type congruences

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