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:
(20) Imdadul Hussain, Suparno Ghoshal, and Arijit Jana, Under Preparation.
(19) Suparno Ghoshal, Arijit Jana, and Hendrick Ressler, Combinatorial Proofs of Certain Results of Chen and Zou on Two-Color Partitions, Submitted.
(18) Suparno Ghoshal, Imdadul Hussain, and Arijit Jana, Another combinatorial proof of a result of Garvan and Jennings-Shaffer related to $\overline{spt}(n)$, Submitted.
(17) Suparno Ghoshal and Arijit Jana, Combinatorial approach for solving congruences for certain overpartition functions, Submitted
(16) Suparno Ghoshal and Arijit Jana, Combinatorial proof of a result on generalized overcubic partitions and related conjectures, submitted.
(15) Suparno Ghoshal and Arijit Jana, Further results on arithmetic properties of biregular overpartitions, arXiv:2504.21439. Submitted.
(14) Suparno Ghoshal and Arijit Jana, A combinatorial proof of Andrews-Beck type congruence for overpartitions, The Ramanujan Journal, Accepted. [SCI Expanded, Q1]
(13) 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]
(12) 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
(11) Arijit Jana, Supercongruences for sums involving the square of some rising factorials, Under Review (2024).
(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]