Recent Publication
Distribution of the Hessian values of Gaussian hypergeometric functions (with Ken Ono, Sudhir Pujahari and Hasan Saad), Ramanujan J. (2025) to be appear.
l-adic digits and class numbers of Imaginary quadratic fields (with Sudhir Pujahari), Internat. J. Math. (2024) (Accepted).
Values of p-adic hypergeometric functions, and p-adic analogue of Kummer's linear identity, Int. J. Number Theory (2024) (Accepted).
Sato-Tate distribution of p-adic hypergeometric functions (with Sudhir Pujahari), Research in Number Theory, (to appear).
Sato-Tate distributions for some families of hypergeometric varieties. RIMS Kokyuroku. In Press.
Distribution of values of Gaussian hypergeometric functions (with Ken Ono and Hasan saad), Pure and Applied Mathematics Quarterly, Special Isuue for Don Zagier's 70th Birthday (in press) (https://arXiv:2108.09560) 19, no. 1 (2023), 371-407. 2023.
AGM and jellyfish swarms of elliptic curves (with M. Griffin, K. Ono, and W-L Tsai) (accepted in Amer. Math. Monthly) (arXiv:3986036).
Zeros of hypergeometric functions in the p-adic setting (accepted for publication at the Ramanujan J.)
Zeros of p-adic hypergeometric functions, p-adic analogues of Kummer's and Pfaff's identities, Pacific J. Math. 307 (2020), no. 2, 491--510.
Appell's hypergeometric series over finite fields (with R. Barman and M. Tripathi), Int. J. Number Theory, 16 (2020),
no. 4, 673--692.
Traces of Hecke operators in level 1 and p-adic hypergeometric functions, (with S. Pujahari) Ramanujan J. 52 (2020),
no. 3, 519--539.
Supercongruences for truncated hypergeometric series and p-adic Gamma function (with R. Barman), Math. Proc. Cambridge Philos. Soc. 168 (2020), no. 1, 171--195.
Summation identities and transformations for hypergeometric series-ll, (with R. Barman) Funct. Approx. Comment. Math. 63 (2020), no. 1, 7–42.
Certain character sums and hypergeometric series, (with R. Barman) Pacific J. Math. 295 (2018), no. 2, 271--289.
Summation identities and transformations for hypergeometric series (with R. Barman) Ann. Math. Qué. 42 (2018),
no. 2, 133--157.
Counting points on Dwork hypersurfaces and p-adic hypergeometric function, (with R. Barman and H. Rahman) Bull. Aust. Math. Soc. 94 (2016), no. 2, 208--216.
Summation identities and special values of hypergeometric series in the p-adic setting, (with R. Barman and
D. McCarthy) J. Number Theory, 153 (2015), 63--84.
p-adic Gamma function and the polynomials x^d+ax+b and x^d+ax^{d-1}+b over F_q, (with R. Barman) Finite Fields Appl., 33 (2015), 230--231.
Certain Transformations for Hypergeometric series in the p-adic setting (with R. Barman) Int. J. Number Theory, 11 (2015), no. 2, 645--660.
p-adic Gamma function and the trace of Frobenius of elliptic curves, (with R. Barman) J. Number Theory, 140 (2014), 181--195.
On the polynomials x^d+ax^i+b and x^d+ax^{d-i}+b over F_q and Gaussian hypergeometric series, (with R. Barman) Ramanujan J. 35 (2014), no. 3, 427--441.
Hyperelliptic curves and values of Gaussian hypergeometric series (with R. Barman and G. Kalita) Arch. Math. (Basel), 102 (2014), no. 4, 345--355.
Submitted:
(1) Asymptotic moment of fourth power twisted Kloosterman sum.
(2) Distribution of rational points of an algebraic surface over finite fields (with Sudhir Pujahari).