Exceptional congruences for powers of the partition function
Matthew Boylan (2004)
Acta Arithmetica
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Displaying similar documents to “Partitions and congruences in algebras. IV. Associable systems”
Exceptional congruences for powers of the partition function
Congruences of -group and of associated Hosszú-Gluskin algebras.
Ušan, Janez (1998)
Novi Sad Journal of Mathematics
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Congruences for Ramanujan's ϕ function
Song Heng Chan (2012)
Acta Arithmetica
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Partitions and congruences in algebras. III. Commutativity of congruences
Tran Duc Mai (1974)
Archivum Mathematicum
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Another smallest part function related to Andrews' spt function
Alexander E. Patkowski (2015)
Acta Arithmetica
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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
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Exotic Bailey-Slater spt-functions III: Bailey pairs from groups B, F, G, and J
Chris Jennings-Shaffer (2016)
Acta Arithmetica
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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...
Congruences involving generalized Frobenius partitions.
Sellers, James (1993)
International Journal of Mathematics and Mathematical Sciences
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Functoriality and number of solutions of congruences
Henry H. Kim (2007)
Acta Arithmetica
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