Identities Connecting Elementary Divisor Functions of Different Degrees, and Allied Congruences.
D.B. Lahiri (1969)
Mathematica Scandinavica
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D.B. Lahiri (1969)
Mathematica Scandinavica
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Matthew Boylan (2004)
Acta Arithmetica
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Song Heng Chan (2012)
Acta Arithmetica
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Chih-Han Sah (1983)
Mathematica Scandinavica
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Chih-Han Sah (1981)
Mathematica Scandinavica
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K. Inkeri (1988)
Mathematica Scandinavica
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Tran Duc Mai (1974)
Archivum Mathematicum
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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.
Tran Duc Mai (1974)
Archivum Mathematicum
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Torleiv Klove (1968)
Mathematica Scandinavica
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Stanley Burris (1971)
Colloquium Mathematicae
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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...