Exceptional congruences for powers of the partition function
Matthew Boylan (2004)
Acta Arithmetica
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Matthew Boylan (2004)
Acta Arithmetica
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Stanley Burris (1971)
Colloquium Mathematicae
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Tran Duc Mai (1974)
Archivum Mathematicum
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Henry H. Kim (2007)
Acta Arithmetica
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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...
Michael Dewar (2010)
Acta Arithmetica
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Zhi-Wei Sun (2007)
Acta Arithmetica
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Stephen L. Bloom (1974)
Colloquium Mathematicae
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Bruce C. Berndt, Ae Ja Yee (2002)
Acta Arithmetica
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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.
S.A. Rankin (1991)
Semigroup forum
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