Abhishek Sarma

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20222026

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math.NT2026

Congruences for the Andrews--Uncu partition function $EO_{u} (n)$

Nayandeep Deka Baruah, Hirakjyoti Das, Manjil P. Saikia +1

In 2018, Andrews defined and studied the partition function $EO (n)$ , which counts the number of partitions of $n$ where each even part is less than each odd part. Thereaf…

math.NT2026

Proof of a Conjecture of Cui, Gu and Tang on 18-Colored Generalized Frobenius Partitions

Hirakjyoti Das, Hemjyoti Nath, Abhishek Sarma

Recently, the study of the number of $k$ -colored generalized Frobenius partitions, denoted by $c ϕ_{k} (n)$ , has witnessed renewed interest. In this paper, we investigate congruence pr…

Congruences for the Andrews--Uncu partition function EOu​(n)

Proof of a Conjecture of Cui, Gu and Tang on 18-Colored Generalized Frobenius Partitions

Congruences for the Andrews--Uncu partition function $EO_{u} (n)$