Publications:
Moment of double exponential sums, with Dwaipayan Mazumder. (Under review)
Color Partitions and Minimal Excludants, with Suverchla, M. Rana and S. Sharma. (Under review)
Distribution of the average values of least r-gap overpartitions, with Suverchla and M. Rana.
(Under review)Interplay between moments of difference of character values and alternatively signed binomial coefficients , with Dwaipayan Mazumder. (Under review)
Exponential sums weighted by divisor functions and its applications, with Dwaipayan Mazumder. (Under review)
Multiple exponential sums and their applications to quadratic congruences, with Stephan Baier and Anup Haldar, Mathematische Nachrichten, 291(11) ( 2025), 3599-3612. Article access link
Fourth power mean values of generalized Kloosterman sums, with Li Wang, Functiones et approximatio, 1-11 (2024). DOI: 10.7169/facm/2161, Article access link
Moments of Kummer sums weighted by L-functions, The Ramanujan Journal, 64, pages 1161–1177, (2024)
https://doi.org/10.1007/s11139-024-00862-1 Article access link
Fourth power mean of the general s-dimensional Kloosterman sum mod p, with A. Haldar, Finite field and their applications, 94, (2024) Article access link
Fourth power mean values of one kind special Kloosterman's sum , with Rui Li, Electronic Research Archive, 31 (10), 2023. Article access link
On some conjectures on generalized quadratic Gauss sums and related problems, with Antonio Rojas-Leon, Wenpeng Zhang, Finite Field and Their Applications, 86(2023). Article access link
Bounds of bilinear sums of Kloosterman sums, with I. E. Shparlinski, J. Number Theory, 242 (2023), 102-111. Artice access link
An explicit evaluation of 10-th power moment of generalized of quadratic Gauss sums and some applications, with Antonio Rojas-Leon, Wenpeng Zhang, Functiones et approximatio, 66 (2022), 253-274. Article access link
Higher order moments of generalized quadratic Gauss sums weighted by L-functions, with R. Barman, Asian Journal of Mathematics 25 (3) (2021), 413-430. Article access link
Bounds of some double exponential sums, with I. E. Shparlinski, J. Number Theory 219 (2021), 228-236. Article access link
Fourth power mean of the general 4-dimensional Kloosterman sum mod p, with R. Barman, Research in Number theory 6 (2020), Article no. 31, 16 pages. Article access link
An improved estimate of fourth power mean of the general 3-dimensional Kloosterman sum mod p, with R. Barman, Func. Approx. Comment. Math. 64(1) (2021), 39-45. Article access link
Serial:
Mathematische Nachrichten (1)
Finite Fields and Their Applications(2)
Journal of Number Theory (2)
Asian Journal of Mathematics (1)
Research in Number theory (1)
Ramanujan Journal(1)
Functiones et Approximatio, Commentarii Mathematici (3)
Electronic Research Archiv (1)
List of Collaborators:
1. Prof. Rupam Barman, Indian Institute of Technology Guwahati, India.
2. Prof. Igor E Shparlinski, University of New South Wales, Australia.
3. Prof. Stephan Baier, Ramakrishna Mission Vivekananda Educational and Research Institute, India.
4. Prof. Zhang Wenpeng, Northwest University, China.
5. Prof. Antonio Rojas Leon, Universidad de Sevilla, Spain.
6. Dr. Anup Haldar, Acharya Prafulla Chandra Roy Government College, India.
7. Dr. Li Wang, Northwest University, China.
8. Dr. Rui Li, Longnan Teachers College, China.
9. Dr. Dwaipayan Mazumder, Chennai Mathematical Institute, India
10. Prof. Meenakshi Rana, Thapar Institute of Engineering and Technology, Patiala, India.
11. Suverchala, Thapar Institute of Engineering and Technology, Patiala, India.
Mathematische Nachrichten (1)
Finite Fields and Their Applications(2)
Journal of Number Theory (2)
Asian Journal of Mathematics (1)
Research in Number theory (1)
Ramanujan Journal(1)
Functiones et Approximatio, Commentarii Mathematici (3)
Electronic Research Archiv (1)
List of Collaborators:
1. Prof. Rupam Barman, Indian Institute of Technology Guwahati, India.
2. Prof. Igor E Shparlinski, University of New South Wales, Australia.
3. Prof. Stephan Baier, Ramakrishna Mission Vivekananda Educational and Research Institute, India.
4. Prof. Zhang Wenpeng, Northwest University, China.
5. Prof. Antonio Rojas Leon, Universidad de Sevilla, Spain.
6. Dr. Anup Haldar, Acharya Prafulla Chandra Roy Government College, India.
7. Dr. Li Wang, Northwest University, China.
8. Dr. Rui Li, Longnan Teachers College, China.
9. Dr. Dwaipayan Mazumder, Chennai Mathematical Institute, India
10. Prof. Meenakshi Rana, Thapar Institute of Engineering and Technology, Patiala, India.
11. Suverchala, Thapar Institute of Engineering and Technology, Patiala, India.