Exceptional congruences for powers of the partition function

Matthew Boylan

Displaying similar documents to “Exceptional congruences for powers of the partition function”

Congruences for Ramanujan's ϕ function

Song Heng Chan (2012)

Acta Arithmetica

Similarity:

Partitions and congruences in algebras. III. Commutativity of congruences

Tran Duc Mai (1974)

Archivum Mathematicum

Similarity:

Another smallest part function related to Andrews' spt function

Alexander E. Patkowski (2015)

Acta Arithmetica

Similarity:

We offer some relations and congruences for two interesting spt-type functions, which together form a relation to Andrews' spt function.

The structure of closure congruences

Stanley Burris (1971)

Colloquium Mathematicae

Similarity:

Partitions and congruences in algebras. IV. Associable systems

Tran Duc Mai (1974)

Archivum Mathematicum

Similarity:

Exotic Bailey-Slater spt-functions III: Bailey pairs from groups B, F, G, and J

Chris Jennings-Shaffer (2016)

Acta Arithmetica

Similarity:

We continue to investigate spt-type functions that arise from Bailey pairs. In this third paper on the subject, we proceed to introduce additional spt-type functions. We prove simple Ramanujan type congruences for these functions which can be explained by an spt-crank-type function. The spt-crank-type functions are actually defined first, with the spt-type functions coming from setting z = 1 in this definition. We find some of the spt-crank-type functions to have interesting representations...

Functoriality and number of solutions of congruences

Henry H. Kim (2007)

Acta Arithmetica

Similarity:

Congruences involving generalized Frobenius partitions.

Sellers, James (1993)

International Journal of Mathematics and Mathematical Sciences

Similarity:

Range sets and partition sets in connection with congruences and algebraic invariants.

I. Levi, S. Seif (1993)

Semigroup forum

Similarity: