Some properties of k-tuple t-core partitions

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.

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Bibliographic Details
Published inThe Ramanujan journal Vol. 56; no. 1; pp. 369 - 385
Main Author Dasappa, Ranganatha
Format Journal Article
LanguageEnglish
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
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Summary: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.
ISSN:1382-4090
1572-9303
DOI:10.1007/s11139-020-00351-1