Utkal Keshari Dutta
Assistant Professor
Dr. Utkal Keshari Dutta is currently working as Assistant Professor at the Department of Mathematics, School of Applied Sciences, KIIT deemed to be University, Bhubaneswar, India. He has completed his M.Sc in Mathematics from Pondicherry University, Puducherry, India in 2015, and M.Phil in Mathematics from VSSUT, Burla, India in 2016. He received his Ph.D from Sambalpur University, Sambalpur, India in 2021. His research interest is in Number Theory, specifically in the field of Analytic Number Theory, Recurrence Sequences, Diophantine Equations, Multiple Zeta Functions, Arithmetic Functions etc. He has published 14 SCI/SCOPUS indexed research papers in various mainstream journals.
Profile Links
Email :
[email protected]
Scopus Id :
57200120782
Google Scholar :
https://scholar.google.com/citations?hl=en&user=v7ZfRXUAAAAJ
Social Links
M.Sc, M.Phil, Ph.D
Administrative Responsibility
Assigned with Tutor-Mentor activities
Awards & Honours
1. First Rank Holder in Mathematics Honours in Bachelor of Science (B.Sc), 2. UGC University Rank Holder (URH) Fellowship, 3. UGC National Fellowship (NFOBC)
1. B. K. Patel, U. K. Dutta and P. K. Ray, Period of balancing sequence modulo powers of balancing and Pell numbers, Ann. Math. et Inform., 47:177–183, 2017.
2. U. K. Dutta, P. K. Ray and S. S. Pradhan, Regularized product over balancing and Lucas-balancing numbers, Indian J. Math., 60(2):171–179, 2018.
3. U. K. Dutta, B. K. Patel and P. K. Ray, A brief remark on balancing Wieferich primes, Mathematica, 60(83):48–53, 2018.
4. U. K. Dutta, B. K. Patel and P. K. Ray, Balancing non-Wieferich primes in arithmetic progressions, Proc. Indian Acad. Sci. (Math. Sci.), 129(2): Article No. 21, 2019.
5. U. K. Dutta and P. K. Ray, On arithmetic functions of balancing and Lucas-balancing numbers, Math. Commun., 24:77–81, 2019.
6. U. K. Dutta and P. K. Ray, Analytic properties of Euler-Zagier multiple Lucas-balancing zeta functions, Trans. Acad. Sci. Azerb. Ser. Phy.-Tech. Math. Sci., 39(1):38–53, 2019.
7. U. K. Dutta and P. K. Ray, On the finite reciprocal sums of Fibonacci and Lucas polynomials, AIMS Mathematics, 4(6):1569–1581, 2019.
8. U. K. Dutta and P. K. Ray, Analytic properties of the Apostol-Vu multiple Fibonacci zeta functions, Discuss. Math. Gen. Algebra Appl., 40(1):37–48, 2020.
9. P. K. Ray and U. K. Dutta, Analytic continuation of Apostol-Vu multiple balancing zeta functions, Integers, 20A: A12, 2020.
10. U. K. Dutta and P. K. Ray, On the partial finite alternating sums of reciprocals of balancing and Lucas-balancing numbers, Discuss. Math. Gen. Algebra Appl., 40(2):201–216, 2020.