Publications

Total Citations as on July 2023: Google Scholar-364, Math. Sci. Net-238, Scopus-248

    72. A complete proof of a supercongruence conjecture on Rodriguez-Villegas (under review)(with Sulakashna)

    71. On the p-adic valuation of third order linear recurrence sequences (under review)(with Deepa Antony)

    70. p-Adic hypergeometric functions and traces of Frobenius of elliptic curves (under review)(with Sulakashna)

    69. Arithmetic properties and asymptotic formulae for sigma_0mex(n) and sigma_emex(n)(under review)(with Gurinder Singh)

    68. A note on Lin's conjecture on PDOt(n)(under review)(with Gurinder Singh)

    67. On p-adic denseness of quotients of values of integral forms (under review)(with Deepa Antony and Stevan Gajovic)

    66. Cliques of orders three and four in the Paley-type graphs (under review)(with Anwita)

    65. Diagonal hypersurfaces and elliptic curves over finite fields and hypergeometric functions, Finite Fields and Their Applications 96 (2024), 30 pages (with Sulakashna)

    64. Number of complete subgraphs of Peisert graphs and hypergeometric functions over finite fields, Research in Number Theory 10 (2024), 21 pages (with Anwita Bhowmik)

    63. Number of F_q points on Diagonal hypersurfaces and hypergeometric function, Int. J. Number Theory (accepted)(with Sulakashna)

    62. Arithmetic properties of certain t-regular partitions, Annals of Combinatorics (accepted)(with Ajit Singh and Gurinder Singh)

    61. Divisibility of the partition function PDO_t(n) by powers of 2 and 3, Bulletin of Australian Math. Soc. 109 (2024), no. 1, pp. 14-25 (with Gurinder Singh and Ajit Singh).

    60. Parity distribution and divisibility of Mex-related partition functions, Research in Number Theory 10 (2024), pp. 1-10 (with Subhrajyoti, Ajit and Apu Kumar Saha)

    59. Hypergeometric functions for Dirichlet characters and Peisert-like graphs on Z_n, La Matematica 2 (2023), no. 4, Journal of the Association for Women in Mathematics, (with Anwita)

    58. Certain Diophantine equations and new parity results for 21-regular partitions, Acta Arithmetica 210 (2023), pp. 337-351 (with Ajit Singh and Gurinder Singh)

    57. p-Adic quotient sets: linear recurrence sequences, Bulletin of Australian Math. Soc. 108 (2023), pp. 19-28 (with Deepa Antony).

    56. Proofs of some conjectures of Keith and Zanello on t-regular partitions, Pacific Journal of Mathematics 320 (2022), no. 2, 425--436 (with Ajit Singh).

    55. Certain transformations and values of p-adic hypergeometric functions, Research in Number Theory 8 (2022), Article No. 93 (with Sulakashna).

    54. p-Adic quotient sets: Diagonal forms, Archiv der Mathematik 119 (2022), pp. 461--470 (with Deepa Antony and Piotr Miska).

    53. On denseness of certain direction and generalized direction sets, INTEGERS 22 (2022), Article No. 88 (with Deepa Antony and Jaitra Chattopadhyay).

    52. Divisibility of certain ell-regular partitions by 2, The Ramanujan Journal 59 (2022), pp. 813--829 (with Ajit Singh).

    51. p-Adic quotient sets: Cubic forms, Archiv der Mathematik 118 (2022), pp. 143--149 (with Deepa Antony).

    50. Proof of some conjectural congruences of da Silva and Sellers, Bulletin of Australian Math. Soc. 106 (2022), pp. 57--61(with Ajit Singh).

    49. On a Paley-type graph on Z_n, Graphs and Combinatorics 38 (2022), Article No. 41, 25 pages (with Anwita Bhowmik).

    48. Certain transformations and special values of hypergeometric functions over finite fields, The Ramanujan Journal 57 (4) (2022), pp. 1277--1306 (with Mohit Tripathi).

    47. Higher order moments of generalized quadratic Gauss sums weighted by L-functions, Asian Journal of Mathematics 25 (3) (2021), pp. 413--430 (with Nilanjan Bag).

    46. Divisibility of certain singular overpartitions by powers of 2 and 3, Bulletin of Australian Math. Soc. 104 (2021), pp. 238-248 (with Ajit Singh).

    45. On Mex-related partition functions of Andrews and Newman, Research in Number Theory 7 (2021), Article No. 53, 11 pages(with Ajit Singh).

    44. Certain eta-quotients and arithmetic density of Andrews' singular overpartitions, Journal of Number Theory 229 (2021), pp. 487-498 (with Ajit Singh).

    43. New density results and congruences for Andrews' singular overpartitions, Journal of Number Theory 229 (2021), pp. 328-341 (with Ajit Singh).

    42. An improved estimate of the fourth power mean of the general 3-dimensional Kloosterman sums mod p, Funct. Approx. Comment. Math. 64 (1), 39-45 (2021) (with Nilanjan Bag).

    41. Mex-related partition functions of Andrews and Newman, Journal of Integer Sequences 24 (2021), Article no. 21.6.3, 12 pages (with Ajit Singh).

    40. Appell series over finite fields and Gaussian hypergeometric series, Research in the Mathematical Sciences 8 (2021), Article no. 28, 34 pages (with Mohit Tripathi).

    39. Summation identities and transformations for hypergeometric series-II, Funct. Approx. Comment. Math. 61 (1) (2020), pp. 7-42 (with Neelam Saikia).

    38. The fourth power mean of the general 4-dimensional Kloosterman sums mod p, Research in Number Theory 6 (2020), Article no. 31, 16 pages (with Nilanjan Bag).

    37. Certain product formulas and values of Gaussian hypergeometric series, Research in Number Theory 6 (2020), Article no. 26, 29 pages (with Mohit Tripathi).

    36. On Andrews' integer partitions with even parts below odd parts, Journal of Number Theory 215 (2020), pp. 321--338 (with Chiranjit Ray).

    35. Appell's hypergeometric series over finite fields, International Journal of Number Theory 16 (4) (2020), pp. 673--692 (with Mohit Tripathi and Neelam Saikia).

    34. Congruences modulo powers of 2 for overpartition pairs into odd parts, J. Korean Math. Soc. 57 (2) (2020), pp. 471--487 (with C. Ray and Z. Ahmed).

    33. Arithmetic properties of cubic and overcubic partition pairs, The Ramanujan Journal 52 (2020), pp. 243--252(with Chiranjit Ray).

    32. Supercongruences for truncated hypergeometric series and p-adic Gamma function, Mathematical Proceedings Cambridge Phil. Soc. 168 (1) (2020), pp. 171--195 (with Neelam Saikia).

    31. Divisibility of Andrews' singular overpartitions by powers of 2 and 3, Research in Number Theory 5 (22) (2019) (with Chiranjit Ray).

    30. Lehmer's generalized Euler numbers in hypergeometric functions, J. Korean Math. Soc. 56 (2) (2019), pp. 485--505 (with Takao Komatsu).

    29. A finite field analogue of the Appell's series F4, Research in Number Theory 4 (3) (2018): Article 35, pp. 1--23 (with Mohit Tripathi).

    28. New congruences for overpartitions into odd parts, INTEGERS: Electronic J. Combinatorial Number Theory 18: A50 (2018), pp. 1--20 (with Chiranjit Ray).

    27. Summation identities and transformations for hypergeometric series, Annales Mathematiques du Quebec 42 (2) (2018), pp. 133--157 (with Neelam Saikia).

    26. Certain character sums and hypergeometric series, Pacific Journal of Mathematics 295 (2) (2018), pp. 271--290 (with Neelam Saikia).

    25. Infinite families of congruences for k-regular overpartitions, International Journal of Number Theory 14 (1) (2018), pp. 19--29 (with Chiranjit Ray).

    24. Congruences for l-regular overpartitions and Andrew's singular overpartition, The Ramanujan Journal 45 (2) (2018), pp. 497--515 (with Chiranjit Ray).

    23. Proof of a limited version of Mao's partition rank inequality using a theta function identity, Research in Number Theory 2:22 (2016) (with Archit Sachdeva).

    22. Counting points on Dwork hypersurfaces and p-adic hypergeometric function, Bulletin of Australian Math. Soc. 94 (2) (2016), pp. 208--218 (with H. Rahman, N. Saikia).

    21. Hyperelliptic curves over F_q and Gaussian hypergeometric series, Journal of Ramanujan Math. Soc. 30 (3) (2015), pp. 331--348 (with G. Kalita).

    20. Summation identities and special values of hypergeometric series in the p-adic setting, Journal of Number Theory 153 (2015), pp. 63--84 (with N. Saikia and D. McCarthy).

    19. Certain Transformations for Hypergeometric series in the p-adic setting, International Journal of Number Theory 11 (2) (2015), pp. 645--660 (with N. Saikia).

    18. p-Adic gamma function and the polynomials x^d+ax+b and x^d+ax^{d-1}+b, Finite Fields and Their Applications 29 (9) (2014), pp. 89--105 (with N. Saikia).

    17. p-Adic gamma function and the trace of Frobenius of elliptic curves, Journal of Number Theory 140 (7) (2014), pp. 181--195 (with N. Saikia).

    16. On the polynomials x^d+ax^i+b and x^d+ax^{d-i}+b over F_q and Gaussian hypergeometric series, The Ramanujan Journal 35 (3) (2014), pp. 427--441 (with N. Saikia).

    15. Hyperelliptic curves and values of Gaussian hypergeometric series, Archiv der Mathematik 102 (4) (2014), pp. 345--355 (with G. Kalita and N. Saikia).

    14. On the polynomial x^d+ax+b over F_q and Gaussian hypergeometric series, International Journal of Number Theory 9 (7) (2013), pp. 1753--1763 (with G. Kalita).

    13. Another look at Iwasawa lambda-invariants of p-adic measures on (Z_p)^n and Gamma- transforms, International Journal of Number Theory 9 (5) (2013), pp. 1289--1299.

    12. Hypergeometric functions over F_q and traces of Frobenius for elliptic curves, Proceedings of the Amer. Math. Soc. 141 (2013), pp. 3403--3410 (with G. Kalita).

    11. Elliptic Curves and Special Values of Gaussian hypergeometric series, Journal of Number Theory 133 (2013), pp. 3099--3111 (with G. Kalita).

    10. Iwasawa lambda-invariants of p-adic measures on (Z_p)^n and their Gamma-transforms, Journal of Number Theory 132 (2012), pp. 2258--2266 (with A. Saikia).

    9. Certain values of Gaussian hypergeometric series and a family of algebraic curves, International Journal of Number Theory 8 (4) (2012), pp. 945--961 (with G. Kalita).

    8. Hypergeometric functions and a family of algebraic curves, The Ramanujan Journal 28 (2) (2012), pp. 175--185 (with G. Kalita).

    7. On p-adic Properties of Certain Mahler Coefficients, Journal of Ramanujan Math. Soc. 26 (3) (2011), pp. 195--202.

    6. Iwasawa lambda-invariants and Gamma-transforms of p-adic measures on (Z_p)^n, International Journal of Number Theory 6 (8) (2010), pp. 1819--1829. (with A. Saikia)

    5. A note on Iwasawa mu-invariants of Elliptic curves, Bulletin of Brazilian Math. Soc. (New Series) 41 (3) (2010), pp. 399--407. (with A. Saikia)

    4. Coefficients of a p-adic measure on (Z_p)^n and Iwasawa lambda-invariant of its Gamma -transform, Asian Eur. J. Mathematics 3 (4) (2010), pp. 545--554. (with A. Saikia)

    3. Theta Function Identities Associated with Ramanujan's Modular Equations of Degree 15, Proc. Indian Acad. Sci. (Math. Sci.) 120 (3) (2010), pp. 267--284. (with N. Deka Baruah)

    2. Iwasawa lambda-invariants and Gamma-transforms, Journal of Ramanujan Math. Soc. 24 (2) (2009), pp. 199--209. (with A. Saikia)

    1. Certain Theta-function Identities and Ramanujan's Modular Equations of Degree 3, Indian J. Math. 48 (1) (2006), pp. 113--133. (with N. Deka Baruah)

Survey Articles:

    1. Hypergeometric functions over finite fields and their connections to elliptic curves: a survey, J. Assam Acad. Math. 5 (2012), 17--34.