Keywords and phrases: designated summands, regular partition, congruences.
Received: November 23, 2021; Revised: February 7, 2022; Accepted: February 15, 2022; Published: February 26, 2022
How to cite this article: Mandeep Kaur and Vandna, Congruences for k-regular partitions with designated summands, JP Journal of Algebra, Number Theory and Applications 53(2) (2022), 175-194. DOI: 10.17654/0972555522011
This Open Access Article is Licensed under Creative Commons Attribution 4.0 International License
References:
[1] G. E. Andrews, R. P. Lewis and J. Lovejoy, Partitions with designated summands, Acta. Arith. 105 (2002), 51-66. [2] N. D. Baruah and M. Kaur, A note on some recent results of da Silva and Sellers on congruences for k-regular partitions with designated summands, Integers 20 (2020), # A74. [3] N. D. Baruah and M. Kaur, New congruences modulo 2, 4, and 8 for the number of tagged parts over the partitions with designated summands, Ramanujan J. 52 (2020), 253-274. [4] R. da Silva and J. A. Sellers, Infinitely many congruences for k-regular partitions with designated summands, Bull. Braz. Math. Soc. (N.S.) 51 (2020), 357-370.
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