Arithmetic properties of l-regular partitions and l-regular bipartitions: Arithmetic properties of l-regular partitions and l-regular

For any positive integer l , let b l ( n ) and B l ( n ) represent the number of l -regular partitions and l -regular bipartitions respectively. By employing q -identities, we prove new congruences for b 11 ( n ) , b 19 ( n ) , b 55 ( n ) , B 11 ( n ) and B 13 ( n ) .

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Bibliographic Details
Published in:Rendiconti del Circolo matematico di Palermo 2024, Vol.73 (8), p.3055-3064
Main Authors: Shruthi, Kumar, B. R. Srivatsa
Format: Article
Language:English
Subjects:
Algebra
Analysis
Applications of Mathematics
Geometry
Mathematics
Mathematics and Statistics
Online Access:Get full text
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Summary:For any positive integer l , let b l ( n ) and B l ( n ) represent the number of l -regular partitions and l -regular bipartitions respectively. By employing q -identities, we prove new congruences for b 11 ( n ) , b 19 ( n ) , b 55 ( n ) , B 11 ( n ) and B 13 ( n ) .
ISSN:0009-725X
1973-4409
DOI:10.1007/s12215-024-01082-8