Nilufar Mana Begum

activity

20182020

most citedGenerating Functions and Congruences for Some Partition Functions Related to Mock Theta Functions

11 citations · 18 across the 3 of their papers we have counts for

collaborators

3 papers

math.NT2020★ 1 cited

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 $R (q),$ $R (q^{3}),$ and $R (q^{4})$ are used to find new generating functions and congruences modulo 5 and 25 for 3-core, 4…

math.NT2019★ 11 cited

Generating Functions and Congruences for Some Partition Functions Related to Mock Theta Functions

Nayandeep Deka Baruah, Nilufar Mana Begum

Recently, Andrews, Dixit and Yee introduced partition functions associated with Ramanujan/Watson third order mock theta functions $ω (q)$ and $ν (q)$ . In this paper, we find several…

math.NT2018★ 6 cited

Proofs of Some Conjectures of Chan on Appell-Lerch Sums

Nayandeep Deka Baruah, Nilufar Mana Begum

On page 3 of his lost notebook, Ramanujan defines the Appell-Lerch sum $ϕ (q) := n = 0 \sum \infty \frac{( - q ; q ) _{2 n} q ^{n + 1}}{( q ; q ^{2} ) _{n + 1}^{2}},$ which is connected to some of his si…