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math.NT2025
Sign Patterns and Congruences of certain infinite products involving the Rogers-Ramanujan continued fraction
Nayandeep Deka Baruah, Abhishek Sarma
We study the behavior of the signs of the coefficients of certain infinite products involving the Rogers-Ramanujan continued fraction. For example, if $$\sum_{n=0}^{\infty}A(n)q^{n…
math.NT2025
Congruences and density results for partitions into distinct even parts
Hemjyoti Nath, Abhishek Sarma
In this paper, we consider the set of partitions which counts the number of partitions of wherein the even parts are distinct (and the odd parts are unrestricted). Usi…