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Correction to: Infinitely Many Congruences for k-Regular Partitions with Designated Summands

Correction to: Infinitely Many Congruences for k-Regular Partitions with Designated Summands Bull Braz Math Soc, New Series https://doi.org/10.1007/s00574-019-00187-4 CORRECTION Correction to: Infinitely Many Congruences for k-Regular Partitions with Designated Summands 1 2 Robson da Silva · James A. Sellers © Sociedade Brasileira de Matemática 2019 Correction to: Bull Braz Math Soc, New Series https://doi.org/10.1007/s00574-019-00156-x 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 PD (n).In order to do so, we made use of some known 2- and 3-dissections of certain quo- tients 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 9 6 3 3 6 9 f f f f f f 2 3 4 9 9 9 18 18 18 = + q + 3q − 2q + 4q . 6 2 3 5 http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Bulletin of the Brazilian Mathematical Society, New Series Springer Journals

Correction to: Infinitely Many Congruences for k-Regular Partitions with Designated Summands

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References (1)

Publisher
Springer Journals
Copyright
Copyright © 2019 by Sociedade Brasileira de Matemática
Subject
Mathematics; Mathematics, general; Theoretical, Mathematical and Computational Physics
ISSN
1678-7544
eISSN
1678-7714
DOI
10.1007/s00574-019-00187-4
Publisher site
See Article on Publisher Site

Abstract

Bull Braz Math Soc, New Series https://doi.org/10.1007/s00574-019-00187-4 CORRECTION Correction to: Infinitely Many Congruences for k-Regular Partitions with Designated Summands 1 2 Robson da Silva · James A. Sellers © Sociedade Brasileira de Matemática 2019 Correction to: Bull Braz Math Soc, New Series https://doi.org/10.1007/s00574-019-00156-x 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 PD (n).In order to do so, we made use of some known 2- and 3-dissections of certain quo- tients 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 9 6 3 3 6 9 f f f f f f 2 3 4 9 9 9 18 18 18 = + q + 3q − 2q + 4q . 6 2 3 5

Journal

Bulletin of the Brazilian Mathematical Society, New SeriesSpringer Journals

Published: Dec 11, 2019

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