Arithmetic properties of 3-regular 6-tuple partitions

P. Murugan () and S. N. Fathima ()
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P. Murugan: Pondicherry University
S. N. Fathima: Pondicherry University

Indian Journal of Pure and Applied Mathematics, 2023, vol. 54, issue 4, 1249-1261

Abstract: Abstract The objective of this paper is primarily on the study of various properties of the infinite family of congruences and divisibility for $$BS_{3}(n)$$ B S 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, $$BS_{3}(n)$$ B S 3 ( n ) represents its 3-regular 6-tuple partitions.

Keywords: Partition; Congruence; Modular forms; Hecke eigenforms; Eta quotients; 11P83; 05A17 (search for similar items in EconPapers)
Date: 2023
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DOI: 10.1007/s13226-022-00338-2

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