On congruence properties of the restricted partition functions pω(n,k) and pν(n,k) View Full Text


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Article Info

DATE

2018-05-18

AUTHORS

Robson da Silva, Kelvin Souza de Oliveira, Almir Cunha da Graça Neto

ABSTRACT

In a recent work by Andrews, Dixit, and Yee the partition functions pω(n) and pν(n) were introduced in connection with the third order mock theta functions ω(q) and ν(q), respectively. The function pω(n) counts the number of partitions of n in which each odd part is less than twice the smallest part, and pν(n) counts the number of partitions of n under the same conditions as pω(n) and having all parts distinct. In this paper, we consider restrictions of these functions, namely pω(n,k) and pν(n,k), where k is the number of parts. We present congruence properties for these restricted partition functions and we obtain classes of Ramanujan-type congruences for them. More... »

PAGES

1-9

Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/s11139-018-0014-y

DOI

http://dx.doi.org/10.1007/s11139-018-0014-y

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https://app.dimensions.ai/details/publication/pub.1104111020


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