A FAMILY OF CONGRUENCES FOR (2, ?)?REGULAR BIPARTITIONS
- Title
- A FAMILY OF CONGRUENCES FOR (2, ?)?REGULAR BIPARTITIONS
- Creator
- Puneeth V.; Roy A.
- Description
- The congruence of certain restricted partition functions known as regular bipartition is discussed in this paper. We particularly investigate the (2, ?)-regular bipartitions of n, denoted by B2,? (n), and establish certain congruences for B2,? (n) when ? ? 3. We derive infinite families of congruences modulo 4 for the (2, 3)-regular bipartition. We also obtain a generalisation of the regular bipartition for modulo p and p2. Indian Mathematical Society, 2022.
- Source
- Mathematics Student, Vol-91, No. 45689, pp. 147-158.
- Date
- 2022-01-01
- Publisher
- The Indian Mathematical Society
- Subject
- (?,?)-regular bipartition; 3-dissections; generating functions; m-regular partition; partitions
- Coverage
- Puneeth V., Department of Mathematics School of Sciences CHRIST(Deemed to be University), Bangalore, 560029, India; Roy A., Department of Sciences and Humanities School of Engineering and Technology CHRIST(Deemed to be University), Bangalore, 560074, India
- Rights
- Restricted Access
- Relation
- ISSN: 255742
- Format
- Online
- Language
- English
- Type
- Article
Collection
Citation
Puneeth V.; Roy A., “A FAMILY OF CONGRUENCES FOR (2, ?)?REGULAR BIPARTITIONS,” CHRIST (Deemed To Be University) Institutional Repository, accessed April 17, 2025, https://archives.christuniversity.in/items/show/15299.