Research
Research
I am interested in Hypergeometric series, p-adic analysis and Ramanujan-type Supercongruences in q-setting.
Publications :
(5) Liton Karmakar and Arijit Jana, q-Supercongruences Modulo the Third and Fifth Powers of a Cyclotomic Polynomial, Preprint.
(4) Liton Karmakar and Arijit Jana, q-Analogues of some supercongruences related to Van Hamme's (E.2) and (F.2) supercongruences, Preprint.
(3) Song-Xiao Li, Liton Karmakar, Arijit Jana, and Su-Dan Wang, Some q-supercongruences for sums involving certain q-shifted factorials, Preprint.
(2) Liton Karmakar and Arijit Jana, A common q-generalization of the (F.2) and (G.2) supercongruences of Van Hamme, The Ramanujan Journal. 71, Art. no. 27, pp. 10 (2026).
(1) Arijit Jana and Liton Karmakar, Generalization of some supercongruences related to (B.2) and (C.2) supercongruences of VanHamme, The Ramanujan Journal. 67, Art. no. 54, pp. 13 (2025).