Correction to: Infinitely Many Congruences for k-Regular Partitions with Designated Summands (Bulletin of the Brazilian Mathematical Society, New Series, (2019), 10.1007/s00574-019-00156-x)

Robson da Silva, James A. Sellers

Research output: Contribution to journalComment/debate

Abstract

In our original paper da Silva and Sellers (2019), Eq. (42) was not correctly quoted from one of the references, which led to some minor errors that do not affect the final results. In da Silva and Sellers (2019) we proved infinitely many congruences for the number of k-regular partitions with designated summands, denoted by PDk(n). In order to do so, we made use of some known 2- and 3-dissections of certain quotients of eta functions. One of the 3-dissections was wrongly quoted from Chan (2010), namely Eq. (42). Below we indicate the small changes that are necessary to correct the minor errors caused by having wrongly quoted Eq. (6) from Chan (2010). 1. Eq. (42) should be replaced by (Formula presented.)

Original languageEnglish (US)
JournalBulletin of the Brazilian Mathematical Society
DOIs
StateAccepted/In press - Jan 1 2019
Externally publishedYes

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