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Congruences Modulo Powers of 2 for ℓ-Regular Overpartitions


Affiliations
1 Department of Studies in Mathematics, University of Mysore, Manasagangotri, Mysuru 570 006, Karnataka, India
     

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Let Ā(n) denote the number of ℓ-regular overpartitions of n. Recently, Shen discovered some congruences modulo 2, 6, 24 for Ā3(n) and modulo 3, 24 for Ā44(n). In this paper, we establish several new congruences modulo powers of 2 for Ā2r (n), where r ≥ 2.
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  • Congruences Modulo Powers of 2 for ℓ-Regular Overpartitions

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Authors

Chandrashekar Adiga
Department of Studies in Mathematics, University of Mysore, Manasagangotri, Mysuru 570 006, Karnataka, India
D. Ranganatha
Department of Studies in Mathematics, University of Mysore, Manasagangotri, Mysuru 570 006, Karnataka, India

Abstract


Let Ā(n) denote the number of ℓ-regular overpartitions of n. Recently, Shen discovered some congruences modulo 2, 6, 24 for Ā3(n) and modulo 3, 24 for Ā44(n). In this paper, we establish several new congruences modulo powers of 2 for Ā2r (n), where r ≥ 2.