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Arithmetic properties of 3-regular 6-tuple partitions

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Abstract

The objective of this paper is primarily on the study of various properties of the infinite family of congruences and divisibility for \(BS_{3}(n)\) with the assistance of Hecke eigenforms and certain properties of modular forms which are generally arithmetic in nature. For n being a positive integer, \(BS_{3}(n)\) represents its 3-regular 6-tuple partitions.

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Acknowledgements

The authors would like to thank the anonymous referee for his valuable comments and suggestions to improve quality of our paper.

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Authors and Affiliations

  1. Department of Mathematics, Pondicherry University, Puducherry, 605014, India

    P. Murugan

  2. Assistant Professor, Department of Mathematics, Pondicherry University, Puducherry, 605014, India

    S. N. Fathima

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  1. P. Murugan
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Correspondence to S. N. Fathima.

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Communicated by Sanoli Gun.

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Murugan, P., Fathima, S.N. Arithmetic properties of 3-regular 6-tuple partitions. Indian J Pure Appl Math 54, 1249–1261 (2023). https://doi.org/10.1007/s13226-022-00338-2

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