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11-dissection and modulo 11 congruences properties for partition generating function

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dc.contributor.authorBilgici, Goksal
dc.contributor.authorEkin, Ali Bulent
dc.date.accessioned2026-01-02T23:05:37Z
dc.date.issued2014-01-01
dc.description.abstractIn a recent paper, we give 13-dissection and some congruences for modulo 13 for the partition generating function � (1 − q r ) −1 by using a method of Kolberg. In this paper, by following similar course, we develop an algoritmic approach and give 11-dissection for the partition generating function � (1 − q r ) −1 . Then we re-obtain the congruences given by Atkin and Swinnerton-Dyer.
dc.description.urihttps://doi.org/10.12988/ijcms.2014.310116
dc.description.urihttp://www.m-hikari.com/ijcms/ijcms-2014/1-4-2014/bilgiciIJCMS1-4-2014.pdf
dc.description.urihttps://dx.doi.org/10.12988/ijcms.2014.310116
dc.identifier.doi10.12988/ijcms.2014.310116
dc.identifier.eissn1314-7544
dc.identifier.endpage10
dc.identifier.openairedoi_dedup___::ca22b9fc5f19c23065e069a7d56c6e6d
dc.identifier.orcid0000-0001-9964-5578
dc.identifier.startpage1
dc.identifier.urihttps://hdl.handle.net/20.500.12597/35779
dc.identifier.volume9
dc.publisherHikari, Ltd.
dc.relation.ispartofInternational Journal of Contemporary Mathematical Sciences
dc.rightsOPEN
dc.subject.sdg2. Zero hunger
dc.title11-dissection and modulo 11 congruences properties for partition generating function
dc.typeArticle
dspace.entity.typePublication
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