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

Shruthi; B. R.Srivatsa Kumar

doi:10.1007/s12215-024-01082-8

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

Shruthi
, B. R.Srivatsa Kumar^*

^*Corresponding author for this work

Manipal Institute of Technology, Manipal

Research output: Contribution to journal › Article › peer-review

Abstract

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 b₁₁(n), b₁₉(n), b₅₅(n), B₁₁(n) and B₁₃(n).

Original language	English
Pages (from-to)	3055-3064
Number of pages	10
Journal	Rendiconti del Circolo Matematico di Palermo
Volume	73
Issue number	8
DOIs	https://doi.org/10.1007/s12215-024-01082-8
Publication status	Accepted/In press - 2024

All Science Journal Classification (ASJC) codes

General Mathematics

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title = "Arithmetic properties of l-regular partitions and l-regular bipartitions",

abstract = "For any positive integer l, let bl(n) and Bl(n) represent the number of l-regular partitions and l-regular bipartitions respectively. By employing q-identities, we prove new congruences for b11(n), b19(n), b55(n), B11(n) and B13(n).",

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AU - Shruthi, null

AU - Kumar, B. R.Srivatsa

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PY - 2024

Y1 - 2024

N2 - For any positive integer l, let bl(n) and Bl(n) represent the number of l-regular partitions and l-regular bipartitions respectively. By employing q-identities, we prove new congruences for b11(n), b19(n), b55(n), B11(n) and B13(n).

AB - For any positive integer l, let bl(n) and Bl(n) represent the number of l-regular partitions and l-regular bipartitions respectively. By employing q-identities, we prove new congruences for b11(n), b19(n), b55(n), B11(n) and B13(n).

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U2 - 10.1007/s12215-024-01082-8

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AN - SCOPUS:85198104998

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JO - Rendiconti del Circolo Matematico di Palermo

JF - Rendiconti del Circolo Matematico di Palermo

IS - 8

ER -

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

Abstract

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