Publications

1. D. Banerjee and J. Mehta, Linearized product of two Riemann zeta functions, Proceedings of the Japan Academy, 90, Ser A,  Mathematical Sciences, No. 8, pages 123-126, 2014. 

2. D. Banerjee and M. Minamide, On an analogue of Buchstab’s identity, Notes on Number theory and Discrete Mathematics, Vol. 22 No.1, pages 8-17, 2016. 

3. D. Banerjee and M. Minamide, The average behaviour of the error term in a new kind of the divisor problem, Journal of Mathematical Analysis and Applications, Vol. 438, Issue 2, 15, pages 533-550, 2016. 

4. D. Banerjee, S. Kanemitsu, K. Chakraborty, B. Maji, Abel-Tauber process and asymptotic formulas, Kyushu Journal of Mathematics, Vol. 71, pages 363-385, 2017. 

5. D. Banerjee, E. Moshe Baruch and E. Tenetov, A Voronoi-Oppenheim summation formula for totally real number fields,  Journal of Number Theory, Vol. 199, pages 63-97, 2019. 

6. D. Banerjee, M. Minamide and Y. Tanigawa, Bounds of double zeta-function and their applications, Pacific Journal of Mathematics, Vol. 304, No.1, pages 15-41, 2020.

7. D. Banerjee, M. Minamide and Y. Tanigawa, Mean square of Euler-Zagier type double zeta-function, Tokyo Journal of Mathematics,  Vol. 44, No.1, pages 83-101, 2021.

8. D. Banerjee, E. Moshe Baruch and Daniel Bump, Voronoi summation formula for Gaussian integers, The Ramanujan Journal, Vol. 57, No.1, pages 253-274, 2021.

9. D. Banerjee, Voronoi summation formula for a certain class of Arithmetical functions via Laplace transform, accepted to Acta Mathematica Hungerica, Vol 168, No 1, pages 50–62, 2022.

10. D. Banerjee and Khyati, On Wigert's type divisor problem, accepted to Journal of Mathematical Analysis and Applications, Vol 517, No. 2, pages 1-23, 2022.

11. D. Banerjee and B. Maji, Identities associated to a generalized divisor function and modified Bessel function, accepted for publication to Research in Number Theory, 9, Article 28, https://doi.org/10.1007/s40993-023-004 2023.

12. D. Banerjee, Y. Fujisawa, T. M. Minamide and Y. Tanigawa, A note on the partial sum of Apostol's Mobius function, Acta Mathematica Hungerica, Vol 170, pages 635-644, 2023.oV

13. D. Banerjee and S. Chaubey and Bittu and Khyati, Distribution of values of Generalised Euler phi function,accepted for publication to,  Journal of Mathematics Analysis and Applications, http://dx.doi.org/10.1016/j.jmaa.2023.127660 2023.

14. D. Banerjee and Khyati, Character analogues of Cohen-type identities and related Voronoi summation formulas, accepted for publication to Advances in Applied Mathematics, Vol 153, Issue C, https://doi.org/10.1016/j.aam.2023.102601 2024.

15. D. Banerjee and Khyati, Trigonometric analogue of the identities associated with twisted sums of divisor functions, accepted for publication to The Ramanujan Journal, 10.1007/s11139-024-00833-6 , 2024.

16. D. Banerjee and M. Minamide Omega results for squarefree divisor problem of squarefull integers, accepted for publication to Canadian Math Bull., https://doi.org/10.4153/S0008439524000225[Opens in a new window]2024.

Submitted/Preprints 

1. D. Banerjee and Arindam Ray, Asymptotic of the plane overpartition with explicit error terms, submitted 2023.