Recurrence Formulae for the Coefficients of Modular Forms and Congruences for the Partition Function and for the Coefficients of j(...), (j(...) - 1728)... and (j(...))... .
Torleiv Klove (1968)
Mathematica Scandinavica
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Torleiv Klove (1968)
Mathematica Scandinavica
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G. E. Andrews, R. P. Lewis, J. Lovejoy (2002)
Acta Arithmetica
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George E. Andrews, Peter Paule (2007)
Acta Arithmetica
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Matthew Boylan (2004)
Acta Arithmetica
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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.
George E. Andrews, Frank G. Garvan, Jie Liang (2013)
Acta Arithmetica
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Let spt(n) denote the total number of appearances of the smallest parts in all the partitions of n. Recently, we found new combinatorial interpretations of congruences for the spt-function modulo 5 and 7. These interpretations were in terms of a restricted set of weighted vector partitions which we call S-partitions. We prove that the number of self-conjugate S-partitions, counted with a certain weight, is related to the coefficients of a certain mock theta function studied by the first...
Sellers, James (1993)
International Journal of Mathematics and Mathematical Sciences
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František Šik (1983)
Czechoslovak Mathematical Journal
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