Dublin Core The Dublin Core metadata element set is common to all Omeka records, including items, files, and collections. For more information see, http://dublincore.org/documents/dces/. Title A name given to the resource Articles Article Faculty Publications -Articles Dublin Core The Dublin Core metadata element set is common to all Omeka records, including items, files, and collections. For more information see, http://dublincore.org/documents/dces/. Title A name given to the resource FAMILY OF CONGRUENCES FOR (2, ?)?REGULAR BIPARTITION TRIPLES Subject The topic of the resource Bipartition Triples; Congruences; Integer partitions; q?series Description An account of the resource Though congruences have their limitations, they have significant importance in the field of number theory and helps in proving many interesting results. Thus, this article has adopted the technique and properties of congruences to identify and prove a set of congruent properties for integer partition. The partition of a positive integer is a way of expressing the number as a sum of positive integers. One such partitions known as regular bipartition triple are discussed in this article. New congruences modulo even integers and modulo prime (p ? 5) powers are derived for (2, ?)?regular bipartition triples. Also infinite families of congruences modulo 2 for some (2, ?)?regular bipartition triples are derived. The theorems stated in this article are proved using the q?series notation and some of the prominent results such as Eulers pentagonal number theorem and Jacobis triple product identities. There are certain lemmas which are derived using these results that help in proving the major results of this article. 2022, RAMANUJAN SOCIETY OF MATHEMATICS AND MATHEMATICAL SCIENCES. All rights reserved. Creator An entity primarily responsible for making the resource Puneeth V.; Roy A. Source A related resource from which the described resource is derived South East Asian Journal of Mathematics and Mathematical Sciences, Vol-18, No. 3, pp. 1-14. Publisher An entity responsible for making the resource available RAMANUJAN SOCIETY OF MATHEMATICS AND MATHEMATICAL SCIENCES Date A point or period of time associated with an event in the lifecycle of the resource 2022-01-01 Identifier An unambiguous reference to the resource within a given context <a href="https://doi.org/10.56827/SEAJMMS.2022.1803.1" target="_blank" rel="noreferrer noopener">https://doi.org/10.56827/SEAJMMS.2022.1803.1</a> <br /><br /><a href="https://www.scopus.com/inward/record.uri?eid=2-s2.0-85165894676&amp;doi=10.56827%2FSEAJMMS.2022.1803.1&amp;partnerID=40&amp;md5=92c2bf760d05d1daccdbc8f5b4edcf70" target="_blank" rel="noreferrer noopener">https://www.scopus.com/inward/record.uri?eid=2-s2.0-85165894676&amp;doi=10.56827%2fSEAJMMS.2022.1803.1&amp;partnerID=40&amp;md5=92c2bf760d05d1daccdbc8f5b4edcf70</a> Rights Information about rights held in and over the resource All Open Access; Bronze Open Access Relation A related resource ISSN: 9727752 Format The file format, physical medium, or dimensions of the resource Online Language A language of the resource English Type The nature or genre of the resource Article Coverage The spatial or temporal topic of the resource, the spatial applicability of the resource, or the jurisdiction under which the resource is relevant Puneeth V., Department of Computational Sciences, CHRIST University, Bengaluru, 560029, India; Roy A., Department of Sciences and Humanities, CHRIST University, Bengaluru, 560029, India