My research interests broadly span Number Theory, Combinatorics, and Special Functions.
More briefly, I am interested in hypergeometric series, Ramanujan-type supercongruences, p-adic analysis, algebraic curves over finite fields, Rogers-Ramanujan continued fractions, q-series, and Partition theory.
Research Publications in Referred International Journals:
(13) Suparno Ghoshal and Arijit Jana, A combinatorial proof of Andrews-Beck type congruence for overpartitions, The Ramanujan Journal, 68 (2025), Art. 70, pp. 7. [SCI Expanded, Q1]
(12) Arijit Jana and Liton Karmakar, Generalization of some supercongruences related to (B.2) and (C.2) supercongruences of VanHamme. The Ramanujan Journal, 67 (2025), Art. 54, pp. 13. [SCI Expanded, Q1]
(11) Suparno Ghoshal and Arijit Jana, Discussion on some conjectures regarding the periodicity of sign patterns of certain infinite products involving the Rogers-Ramanujan Continued Fractions, https://arxiv.org/abs/2503.17950v2 Not Submitted For Publication. (2025)
(10) Arijit Jana, Certain supercongruences deriving from hypergeometric series identities, The Journal of the Indian Mathematical Society, 90 (2023), no. (3-4), 357-365. [Scopus, Q4]
(9) Arijit Jana and Gautam Kalita, Supercongruences motivated by some generalized VanHamme type supercongruences. Research in Number Theory, 8 (2022), Article 54, pp. 11. [Scopus, Q2]
(8) Arijit Jana and Gautam Kalita, On some conjectural supercongruences for sums involving certain rising factorials, Results in Mathematics, 76 (2021), Art. 155, pp. 14. [SCI Expanded, Q1]
(7) Gautam Kalita and Arijit Jana, Certain character sums, Gaussian hypergeometric series, and their connections to algebraic curves, Finite Fields and Their Applications, 72 (2021), Article. 101832, pp. 18. [SCI, Q1]
(6) Arjun Singh Chetry, Arijit Jana, and Gautam Kalita, Proof of a supercongruence conjecture of He, Research in Number Theory, 7 (2021), Article 21, pp. 8. [Scopus, Q2]
(5) Gautam Kalita and Arijit Jana, On some supercongruence conjectures for truncated hypergeometric series, Indian Journal of Pure and Applied Mathematics, 52 (2021), 168--192. [SCI Expanded, Q3]
(4) Arijit Jana and Gautam Kalita, Supercongruences for sums involving fourth power of some rising factorials, Proceedings - Mathematical Sciences, 130 (2020), Art. 59, pp. 13. [SCI Expanded, Q3]
(3) Arijit Jana and Gautam Kalita, Proof of some conjectural supercongruence of Guo and Schlosser, The Ramanujan Journal, 54 (2021), no. 3, 649–658. [SCI Expanded, Q2]
(2) Arijit Jana, On some supercongruence conjectures of Guo and Liu, Journal of Combinatorics and Number Theory, 11 (2019), no. 1, 13-18.
(1) Arijit Jana and Gautam Kalita, Supercongruences for sums involving rising factorial $(\frac{1}{\ell})_k^3$, Integral Transforms and Special Functions, 30 (2019), no. 9, 683-692. [SCI Expanded, Q2]