Congruences involving F-partition functions.
Sellers, James (1994)
International Journal of Mathematics and Mathematical Sciences
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Displaying similar documents to “Congruences involving generalized Frobenius partitions.”
Congruences involving F-partition functions.
Congruences in ordered pairs of partitions.
Hammond, Paul, Lewis, Richard (2004)
International Journal of Mathematics and Mathematical Sciences
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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.
Exceptional congruences for powers of the partition function
Matthew Boylan (2004)
Acta Arithmetica
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Observations on the parity of the total number of parts in odd--part partitions.
Sellers, James A. (2007)
Integers
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Schreier-Zassenhaus theorem for algebras. II
František Šik (1983)
Czechoslovak Mathematical Journal
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Arithmetic properties for hyper -ary partition functions.
Courtright, Kevin M., Sellers, James A. (2004)
Integers
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Self-conjugate vector partitions and the parity of the 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...