6 citations · 8 across the 5 of their papers we have counts for
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Congruences for the Andrews--Uncu partition function
Nayandeep Deka Baruah, Hirakjyoti Das, Manjil P. Saikia +1
In 2018, Andrews defined and studied the partition function , which counts the number of partitions of where each even part is less than each odd part. Thereaf…
Witness identities for three Ramanujan congruences
Nayandeep Deka Baruah, Hirakjyoti Das, Abhishek Sarma
For the unrestricted partition function for integers , it is known that , , and $p(49n + 40) \equiv…
Congruences for -elongated plane partition diamonds
Nayandeep Deka Baruah, Hirakjyoti Das, Pranjal Talukdar
In the eleventh paper in the series on MacMahons partition analysis, Andrews and Paule [1] introduced the elongated partition diamonds. Recently, they [2] revisited the topic.…
Matching coefficients in the series expansions of certain -products and their reciprocals
Nayandeep Deka Baruah, Hirakjyoti Das
We show that the series expansions of certain -products have \textit{matching coefficients} with their reciprocals. Several of the results are associated to Ramanujan's continue…
Families of Congruences for Fractional Partition Functions Modulo Powers of Primes
Nayandeep Deka Baruah, Hirakjyoti Das
Recently, Chan and Wang (Fractional powers of the generating function for the partition function. Acta Arith. 187(1), 59--80 (2019)) studied the fractional powers of the generating…
Results on some partition functions arising from certain relations involving the Rogers-Ramanujan continued fractions
Nayandeep Deka Baruah, Nilufar Mana Begum, Hirakjyoti Das
Relations involving the Rogers-Ramanujan continued fractions and are used to find new generating functions and congruences modulo 5 and 25 for 3-core, 4…