Some properties of k-tuple t-core partitions

• Published in: The Ramanujan journal Vol. 56; no. 1; pp. 369 - 385
• Main Author: Dasappa, Ranganatha
• Format: Journal Article
• Language: English
• Published: New York Springer US 01.10.2021; Springer Nature B.V
• Subjects: Combinatorics; Field Theory and Polynomials; Fourier Analysis; Functions of a Complex Variable; Mathematics; Mathematics and Statistics; Number Theory; Partition congruences; 11P83; Core partitions; Theta functions

In this paper, we generalize some results due to Saikia and Boruah (The Journal of Analysis, 2018) on congruence properties for A 3 , 9 ( n ) , A 9 , 3 ( n ) , and A 4 , 8 ( n ) , where A t , k ( n ) denote the number of k -tuple partitions of n where each partition is t -core.