On 3-Regular Partitions in 3-Colors

D. S. Gireesh () and M. S. Mahadeva Naika ()
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D. S. Gireesh: M. S. Ramaiah University of Applied Sciences, Peenya, Bengaluru
M. S. Mahadeva Naika: Bangalore University, Central College Campus, Bengaluru

Indian Journal of Pure and Applied Mathematics, 2019, vol. 50, issue 1, 137-148

Abstract: Abstract We consider p{3,3}(n), the number of 3-regular partitions in 3-colors. We find the generating functions for p{3,3}(n) and deduce congruences modulo large powers of 3. We also find the generating functions and congruences for linear combination of p3(n) (the number of partitions of n in 3-colors) by finding the relation connecting p3(n) and p{3,3}(n). As an application, we find finite discrete convolution of p{3,1}(n) and p{3,2}(n).

Keywords: Partitions; 3-colors; 3-regular partitions; congruences (search for similar items in EconPapers)
Date: 2019
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DOI: 10.1007/s13226-019-0312-0

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