Research Interests & Publications

Broad Research Area : Number Theory.

Particular Interests : Analytic Theory of Multiple Zeta functions and its variants, Theory of Ramanujan Sums and Ramanujan Expansions, Theory of Modular forms.

My profile at Mathscinet can be found here. The list of my publications and recent preprints appears below.

• Submitted Articles :

  • • 1. Bikram Misra, Biswajyoti Saha and Anubhav Sharma, On additive convolution sum of arithmetic functions and related questions.

      2. Pawan Singh Mehta and Biswajyoti Saha, Multiple polylogarithms, a regularisation process and an admissible open domain of convergence.

      3. Pawan Singh Mehta and Biswajyoti Saha, Ramaswami Type translation formulae for the polylogarithm functions.

      4. Bikram Misra, M. Ram Murty and Biswajyoti Saha, A triple convolution sum of the divisor function.

• Published and Accepted Articles :

  • • 1. Biswajyoti Saha and Dhananjaya Sahu, Infinitude of zeros of the Lerch zeta function on the half plane Re(s)>1, J. Number Theory 280 (2026), 506–518.

      2. Amrinder Kaur and Biswajyoti Saha, Sign changes of Fourier coefficients of SL(2,Z) Hecke-Maass forms at sum of two squares, Ramanujan J. 67 (2025), Article no. 22.

      3. Biswajyoti Saha, Multiple Stieltjes constants and Laurent type expansion of the multiple zeta functions at integer points, Selecta Math. (N.S.) 28 (2022), no. 1, Article no. 6.

      4. Cristiana Bertolin, Patrice Philippon, Biswajyoti Saha and Ekata Saha, Semi-abelian analogues of Schanuel Conjecture and applications, J. Algebra 596 (2022), 250–288.

      5. Patrice Philippon, Biswajyoti Saha and Ekata Saha, An abelian analogue of Schanuel’s conjecture and applications, Ramanujan J. 52 (2020), no. 2, 381–392.

      6. Biswajyoti Saha, Ayyadurai Sankaranarayanan and Yuta Suzuki, An asymptotic formula and some explicit estimates of the counting function of y-friable numbers, Adv. Stud. Pure Math. 84, 367-397, Math. Soc. Japan, Tokyo, 2020.

      7. Biswajyoti Saha, Analytic properties of multiple Dirichlet series associated to additive and Dirichlet characters, Manuscripta Math. 159 (2019), no. 1-2, 203–227.

      8. Biswajyoti Saha and Jyoti Sengupta, Determination of GL(2) Maass forms from twists in the level aspect, Acta Arith. 189 (2019), no. 2, 165–178.

      9. Biswajyoti Saha and Ayyadurai Sankaranarayanan, On estimates of the Mertens function, Int. J. Number Theory 15 (2019), no. 2, 327–337.

      10. Sanoli Gun and Biswajyoti Saha, Multiple Lerch zeta functions and an idea of Ramanujan, Michigan Math. J. 67 (2018), no. 2, 267–287.

      11. Giovanni Coppola, M. Ram Murty and Biswajyoti Saha, Finite Ramanujan expansions and shifted convolution sums of arithmetical functions, J. Number Theory 174 (2017), 78-92.

      12. Biswajyoti Saha, An elementary approach to the meromorphic continuation of some classical Dirichlet series, Proc. Indian Acad. Sci. Math. Sci. 127 (2017), no. 2, 225-233.

      13. Jay Mehta, Biswajyoti Saha and G.K. Viswanadham, Analytic properties of multiple zeta functions and certain weighted variants, an elementary approach, J. Number Theory 168 (2016), 487-508.

      14. Biswajyoti Saha, A note on arithmetical functions with absolutely convergent Ramanujan expansions, Int. J. Number Theory 12 (2016), no. 6, 1595-1611.

      15. Giovanni Coppola, M. Ram Murty and Biswajyoti Saha, On the error term in a Parseval type formula in the theory of Ramanujan expansions II, J. Number Theory 160 (2016), 700-715.

      16. Biswajyoti Saha, On the partial sums of arithmetical functions with absolutely convergent Ramanujan expansions, Proc. Indian Acad. Sci. Math. Sci. 126 (2016), no. 3, 295-303.

      17. M. Ram Murty and Biswajyoti Saha, On the error term in a Parseval type formula in the theory of Ramanujan expansions, J. Number Theory 156 (2015), 125-134.

      18. Sanoli Gun and Biswajyoti Saha, On the zeros of weakly holomorphic modular forms, Arch. Math. (Basel) 102 (2014), no. 6, 531-543.