Family of congruences for 3-color partition modulo powers of 5

Let $$p_{-2,\ell }(n)$$ denote the number of 3-color partitions of n where one color appears solely in parts that are multiples of $$\ell $$ . This paper proves the existence of infinite families of congruences modulo powers of 5 for $$p_{-2,\ell }(n)$$ .

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Publication Details

Journal
Acta Universitatis Sapientiae Mathematica
Published
2025-12-23
DOI
https://doi.org/10.1007/s44426-025-00027-7
Primary Topic
Advanced Mathematical Identities
Type
article
Field-Weighted Citation Impact
0.00
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article

Family of congruences for 3-color partition modulo powers of 5

C. Shivashankar, Nithin Anthony Kumar, N. Girisha
Acta Universitatis Sapientiae Mathematica
Advanced Mathematical Identities
article

Family of congruences for 3-color partition modulo powers of 5

C. Shivashankar, Nithin Anthony Kumar, N. Girisha
article en

Abstract

Let $$p_{-2,\ell }(n)$$ denote the number of 3-color partitions of n where one color appears solely in parts that are multiples of $$\ell $$ . This paper proves the existence of infinite families of congruences modulo powers of 5 for $$p_{-2,\ell }(n)$$ .

Acta Universitatis Sapientiae MathematicaVol. 17(1)
Government of Karnataka (IN), ASA College (US), Government Ayurved College, Nanded (IN)
Openalex Percentile: Top 18%
Advanced Mathematical Identities
DOIOpen Access PDFOpenAlex
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