National Institute of Technology Rourkela

राष्ट्रीय प्रौद्योगिकी संस्थान राउरकेला

ଜାତୀୟ ପ୍ରଯୁକ୍ତି ପ୍ରତିଷ୍ଠାନ ରାଉରକେଲା

An Institute of National Importance
NIT Rourkela Inside Page Banner

Faculty Profile

ORCID ID
Scopus ID
Researcher ID
Google Scholar ID

EXPERTISE INFORMATION

Research Group
  • Statistics, Optimization and Discrete Mathematics
Areas of Interest
  • Number Theory, Nonlinear Optimization

Gopal Krishna Panda Professor, Mathematics

gkpanda@nitrkl.ac.in

0661 - 246 2705

Biosketch

47

PUBLICATIONS

15

DOCTORAL STUDENTS

PERSONAL INFORMATION

Gopal Krishna Panda

Professor

Mathematics

Room Number: MN-324

Department of Mathematics, National Institute of Technology Rourkela, Sundargarh, Odisha, India - 769008

M.Sc. (Statistics), M.Sc. (Mathematics), M.Phil., Ph.D.

0
GOOGLE SCHOLAR H-INDEX 0
GOOGLE SCHOLAR I10-INDEX 0
SCOPUS H-INDEX
Total Publications: 47
View All Publications

P. K. Bhoi, S. S. Rout, and G. K. Panda,"On the resolution of the Diophantine equation Un+ Um= xq", The Ramanujan Journal, vol.66, no.36, pp.1-23, Springer Nature, January 2025, 10.1007/s11139-024-01002-5       Article

M. Mohapatra, P. K. Bhoi, and G. K. Panda,"Balancing and lucas-balancing numbers as the difference of two repdigits", Integers, vol.25, no.a#15, Zenodo, February 2025, 10.5281/zenodo.14907309       Article

A. Patra and G. K. Panda,"Random balancing-like sequences", Arabian Journal of Mathematics, vol.13, no.3, pp.633-649, Springer Nature, October 2024, 10.1007/s40065-024-00475-y       Article

P. K. Bhoi, S. S. Rout, and G. K. Panda,"Sums of S-units in sum of terms of recurrence sequences", The Ramanujan Journal, Springer 2023, https://doi.org/10.1007/s11139-023-00756-8       Article

P. K. Bhoi, S. S. Rout, and G. K. Panda,"On perfect powers that are sum of two balancing numbers", Periodica Mathematica Hungerica, Springer 2023, https://doi.org/10.1007/s10998-023-00540-7       Article

  • Abstract Algebra {Theory}
  • Advanced Number Theory {Theory}
  • Algebra {Theory}
  • Complex Analysis {Theory}
  • Elementary Number Theory {Theory}
  • Introduction to Algebra {Theory}
  • Introduction to number Theory {Theory}
  • Introduction to Probability and Statistics {Theory}
  • Mathematical Methods {Theory}
  • Mathematical Techniques for Data Analysis {Theory}
  • Mathematics - I {Theory}
  • Mathematics - II {Theory}
  • Mathematics – II {Theory}
  • Mathematics - III {Theory}
  • Mathematics – III {Theory}
  • Mathematics - IV {Theory}
  • Mathematics – IV {Theory}
  • Number Theory {Theory}
  • Sampling Techniques {Theory}
  • Statistical Methods {Theory}
  • Stochastic Process {Theory}
  • Stochastic Processes {Theory}
  • Departmental Seminar - I {Practical}
  • Departmental Seminar - II {Practical}
  • Laboratory Work on Number Theory {Practical}
  • Laboratory Works on Sampling {Practical}
  • Numerical Methods Laboratory {Practical}
  • Object Oriented Programming Practice Laboratory {Practical}
  • Statistics Laboratory {Practical}

Ph.D. Students [15]
Sums of S-units and Perfect Powers in Recurrence Sequences
Pritam Kumar Bhoi
Enrolled: Jul 2019
Graduated :  Dec 2024
Supervisor
Algebraic and Probabilistic Aspects of Some Binary Recurrence Sequences
Asim Patra
Enrolled: Mar 2016
Graduated :  May 2023
Supervisor
Certain Sums, Products, Repdigits and Triples Associated with Balancing and Lucas-Balancing Numbers
Sai Gopal Rayaguru
Enrolled: Jan 2016
Graduated :  Dec 2021
Supervisor
Properties of Sequences and Sums associated with Balancing-like Sequences
Sushree Sangeeta Pradhan
Enrolled: Jul 2015
Graduated :  Dec 2020
Supervisor
A Study on Arithmetic Functions and Diophantine Equations Associated with Balancing and Related Sequences
Manasi Kumari Sahukar
Enrolled: Jul 2015
Graduated :  Nov 2020
Supervisor
Some Variants of the Balancing Sequence
Akshaya Kumar Panda
Enrolled: Jul 2012
Graduated :  Mar 2017
Supervisor
Algebraic and Geometric Aspects of Some Binary Recurrence Sequences
Ravi Kumar Davala
Enrolled: Jan 2013
Graduated :  Nov 2017
Supervisor
Number Theory
Sudhansu Sekhar Rout
Enrolled: Jan 2011
Graduated :  Jul 2015
Supervisor
A Study of Some Variational Inequalities
Binaya Bhusan Sahoo
Enrolled:
Graduated :  2015
Supervisor
Variational and Quasi-variational Inequalities
Ganesh Kinkar Sahu
Enrolled:
Graduated :  2011
Supervisor
Balancing and Cobalancing Numbers
Prasanta Kumar Ray
Enrolled:
Graduated :  2009
Supervisor
Generalized Variational Inequalities
Niranjan Dash
Enrolled:
Graduated :  2004
Supervisor
Number Theory
Sai Santosh Lathi
Enrolled: Jan 2025
Continuing
Supervisor
Number theory
Monalisa Mohapatra
Enrolled: Jan 2023
Continuing
Supervisor
Number Theory
Srikrishna Chandra Patel
Enrolled: Jul 2017
Continuing
Supervisor

Awards And Honours
  • 1. University gold medal for securing first position in first class in M.A./M.Sc.(Statistics) from Sambalpur University in the year 1985. 2. Gangadhar Meher Silver Jubilee gold medal for securing highest percent of marks in total aggregate at B.A./B.Sc./B.Com./M.A./M.Sc./M.Com. examinations of Sambalpur University in the year 1985. 3. Merit certificate for securing first position in first class in B.Sc. Statistics Honours from Sambalpur University in the year 1983.,   
Memberships / Fellowships
  • Life Member of Computer Society of India and Odisha Mathematical Society,