National Institute of Technology Rourkela

राष्ट्रीय प्रौद्योगिकी संस्थान राउरकेला

ଜାତୀୟ ପ୍ରଯୁକ୍ତି ପ୍ରତିଷ୍ଠାନ ରାଉରକେଲା

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Faculty Profile

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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.

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Total Publications: 47
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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

  • MA1003 : Mathematics - I {Theory}
  • MA101 : Mathematics - I {Theory}
  • MA102 : Mathematics - II {Theory}
  • MA102 : Mathematics – II {Theory}
  • MA2003 : Introduction to Probability and Statistics {Theory}
  • MA201 : Mathematics - III {Theory}
  • MA201 : Mathematics – III {Theory}
  • MA202 : Mathematics - IV {Theory}
  • MA202 : Mathematics – IV {Theory}
  • MA2104 : Complex Analysis {Theory}
  • MA2203 : Introduction to Probability and Statistics {Theory}
  • MA2306 : Mathematical Methods {Theory}
  • MA3102 : Introduction to Algebra {Theory}
  • MA3104 : Number Theory {Theory}
  • MA321 : Introduction to number Theory {Theory}
  • MA324 : Number Theory {Theory}
  • MA406 : Abstract Algebra {Theory}
  • MA427 : Elementary Number Theory {Theory}
  • MA524 : Statistical Methods {Theory}
  • MA555 : Stochastic Process {Theory}
  • MA556 : Number Theory {Theory}
  • MA558 : Sampling Techniques {Theory}
  • MA612 : Algebra {Theory}
  • MA623 : Advanced Number Theory {Theory}
  • MA625 : Stochastic Processes {Theory}
  • MA634 : Mathematical Methods {Theory}
  • MA655 : Mathematical Techniques for Data Analysis {Theory}
  • MA6623 : Advanced Number Theory {Theory}
  • MA270 : Numerical Methods Laboratory {Practical}
  • MA374 : Laboratory Work on Number Theory {Practical}
  • MA374 : Statistics Laboratory {Practical}
  • MA4272 : Statistics Laboratory {Practical}
  • MA471 : Object Oriented Programming Practice Laboratory {Practical}
  • MA481 : Departmental Seminar - I {Practical}
  • MA482 : Departmental Seminar - II {Practical}
  • MA571 : Statistics Laboratory {Practical}
  • MA572 : Laboratory Works on Sampling {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,