Dr. Nabin  Kumar Meher

Department Department of Mathematics
Designation Assistant Professor
Educational Qualification M.Sc. (IIT Kanpur), Ph.D. (HRI, Allahabad)
E-Mail nkmeher.maths@nitrr.ac.in
Contact Number 9861644184
Areas of Interest

Number Theory. In Particular I am interested in Partition Theory, Analytic Number Theory,  Modular forms  and  Transcendental  Number Theory

Publications

Publications:

1. N.K. Meher, K. Senthil Kumar and R. Thangadurai, On a theorem of Mahler, Proc. Amer .Math. Soc., 145 (2017), no.11, 4607–4615. 

2. N. K. Meher and S. S. Rout, Linear combination of prime powers in sums of terms of binary recurrence sequences, Lith. Math. J., 57 (2017), no.4, 506–520.

3. N. K. Meher and S. S. Rout, Analytic continuation of the multiple Fibonacci zeta functions, Proc. Japan Acad. Ser. A Math. Sci. 94 (2018), no.6, 64–69

4. N. K. Meher and Veekesh Kumar, Subspace lang conjecture and some remarks on a transcendental criterian, Proc.Indian Acad.Sci.Math.Sci. 128 (2018), no.3, Art.30,9pp.

5. N.K. Meher and S. S. Rout, Analytic continuation of the multiple Lucas zeta functions, J.Math.Anal.Appl. 468 (2018), no.2, 1115–1130.

6. N. K.  Meher, Note on arithmetic nature of some infinite series, Acta Mathematica Hungarica 159 (2019), 265–286.

7. N. K. Meher and S. S. Rout, Multiple Lucas Dirichlet series associated to additive and Dirichlet characters, Mediterranean Journal of Mathematics 18 (6) (2021), 1–21

8. N. K.  Meher, Transcendence of Hurwitz zeta type series and related questions, Proc. Indian Acad. Sci. Math. Sci. 132 (2022), no1, paperno18.)

9. Ankita Jindal and N. K.  Meher, New Congruences for l-RegularOverpartitions, Journal of the Korean Mathematical Society 59 (2022), 945–962.

10. N.  K.  Meher and S. S. Rout, S-parts of sums of terms of linear recurrence sequences Acta Mathematica Hungarica 168 (2022), 553–571.

11. N. K. Meher and S. S. Rout, Cullen numbers in sums of terms of recurrence sequence, Results in Mathematics, 78 (3), 2023.

12. Ankita Jindal and N. K. Meher,Arithmeticdensityandnewcongruencesfor 3-corepartitions Proc. Indian Acad. Sci. Math. Sci. 133 (2023), no.2.

13. Ankita Jindal and N. K. Meher, Infinite families of congruences for 2-core and 13-core partitions, Journal of the Korean Mathematical Society 60 (5), 2023, 1073-1085.

14. Ankita Jindal and N. K. Meher, Arithmetic density and congruences of t-core partitions, Results in Mathematics 79(1), 2024.

15. N. K. Meher  and D.  K. Sahoo, Analytic continuation of l-generalized Fibonacci zeta function. INTEGERS 24 (2024) Paper no A85.

16. N. K. Meher, Distribution and congruences of l-regular bipartitions. Rendiconti del Circolo Matematico di Palermo Series 274 (2025), Paperno71.

17. N. K. Meher and Ankita Jindal, Arithmetic density and congruences of l-regular bipartitions (Submitted for publication).

18. N.K. Meher, Divisibilityandcongruences of (s,t)-regular bipartitions (Submitted for publication).

https://scholar.google.com/citations?user=sgSYW0oAAAAJ&hl=en

Other Info.
  • Teaching Experiences:
  1. Assistant Professor (July 25, 2025 - Present), Department of Mathematics, National Institute of Technology Raipur, Raipur - 492010, Chhattisgarh, India.
  2. Assistant Professor (November 9, 2022 –July 24, 2025), Department of Mathematics, Indian Institute of Information Technology (IIIT) Raichur, Karnataka, India
  3. Assistant Professor (November, 2020- Novembert, 2022), Department of Mathematics, Birla Institute of Technology and Science (BITS) Pilani, Hyderabad Campus.
  4. Assistant Professor (July 2012 -July, 2013), Department of Mathematics, Kalinga Institute of Industrial Technology, Bhubaneswar - 751024, India.
  • Research Experiences:
  1. Post-Doctoral fellowship in the School of Mathematical Sciences, NISER, Bhubaneswar, Odisha, India (August 2018-August,  2020)
  2. Visiting Research Scholar in NISER, Bhubaneswar (August 2018-August,  2020)
  • Academic Honors & Awards:
  1. 1.     Qualified Graduate Aptitude Test in Engineering (GATE), CSIR-NET JRF, IIT –JAM.
  2. Got NBHM Postdoctoral fellowship (But not availed.)
  3. Got Best Graduate Award  during my B.Sc. from G. M .(Auto.) College, (now Gangadhar Meher University) Sambalpur, Odisha.

Teaching:

As an Instructor:

  • 2012−13 both semester: Engineering Mathematics at KIIT, Bhubaneswar.
  • 2020−21 Oddsemester: Calulus MATH F111andAlgebraI(Group TheoryandRingtheory) MATHF215atBITS Pilani Hyderabad, Campus.
  • 2020−21 Even semester:Linear Algebra and Complex Analysis MATH F112and Algebra I (Group Theory and Ring theory) MATH F215 at BITS Pilani Hyderabad, Campus.
  • 2020−21Summertermcourse: Elementary Number Theory MATH F231 at BITS Pilani Hyderabad, Campus.
  • 2021−22 Odd semester: Calulus  MATHF111 and Algebra I (Group Theory and Ringtheory) MATHF215 at BITS Pilani Hyderabad, Campus.
  • 2021 −22Evensemester: LinearAlgebraandComplexAnalysis MATHF112  and ElementaryNumberTheory MATHF231 at BITS PilaniHyderabad, Campus.
  • 2022−23Oddsemester: Calulus MA001  at IIIT Raichur, Karnataka.
  • 2022−23Evensemester: Calulus MA002 at IIIT Raichur, Karnataka.
  • 2022−23Evensemester: Complex variables MA211 at IIITRaichur, Karnataka.
  • 2023−24Oddsemester: Calulus MA001 at IIITRaichur,Karnataka
  • 2023−24Oddsemester: Number Theory MA204 at IIIT Raichur, Karnataka.
  • 2023−24 Even semester: Calculus and Linear Algebra MA 102 at IIIT Raichur, Karnataka.
  • 2024−25 Oddsemester: Engineering Mathematics MA101 at IIIT Raichur, Karnataka.
  • 2024 −25 Evensemester: Discrete Structure and Analytic Number Theory at IIIT Raichur, Karnataka.
  • 2025−26 Oddsemester:Engineering Mathematics M-3 (ECE and MME Branch) at NIT Raipur, Chhatishgarh.

 

Talks:

  • .   Splitting of primes in algebraic number fields, at Harish Chandra Research Institute, Allahabad, June, 2014.
  • Transcendence of Generalized Euler Constants by Ram Murty and Anastasia Zaytseva, 
  • At Harish Chandra Research Institute, Allahabad, June, 2015.
  • An upper bound for the G.C.D. of an−1 and bn−1 by Yann Bugeaud, P. Corvaja and U. Zannier., at Harish Chandra Research Institute, Allahabad, June, 2016.
  • Linear combination of prime powers in sums of terms of binary recurrence sequences, at Harish Chandra Research Institute, Allahabad, June,2017. 
  • Linear combination of prime powers insums of terms of binary recurrence sequences, International Conference on Class Groups of Number Fields and Related Topics at HRI, Allahabad, September, 2017.
  • On a Theorem Of Mahler, 83rd Annual conference of Indian Mathematical Society An International Meet at Sri Venkateswara University, Tirupati, December 12-15,2017.
  • On a Theorem Of Mahler, Conference on Number Theory: Arithmetic, Diophantine and Transcendence at IIT, Ropar, December 22-25, 2017.
  • On a Theorem Of Mahler, Discussion meeting on Modular Forms at KSOM, Calicut, February 12-24, 2018.
  • Borel Conjecture on Normal number ,Invited talk at NISER, Bhubaneswar, June, 2018.
  • Some Problems in Number Theory, Defence talk at HRI, Allahabad, October, 2018.
  • Analytic continuation of the multiple Fibonacci zeta functions, Invited talk at NISER, Bhubaneswar, December, 2018.
  • Irrationality and Transcendence, Invited talk at Sambalpur University, Sambalpur, February, 2019.
  • Transcendence of Hurwitz zeta type series and related questions, at NISER, Bubaneswar August, 2019.
  • Transcendence of Hurwitz zeta type series, International Conference on Number Theory,at Kerala School of Mathematics, Kozhikode, January, 2020.
  • Prime numbers and its related topics ,Workshop on Number Theory and its applications, at Department of Mathematics, NIT Calicut, Kozhikode, December04-05, 2023.
  • Distribution and congruences of (u,v)- regular bipartitions, ICLANT International  conference on Lie Algebra and Number Theory, NIT Calicut, Kozhikode, June 10- 14, 2024.
  • Distribution  and congruences of l-regular bipartitions, International conference on Analytic Number Theory, IISER Berhampur, February 03-07, 2025.

 

* Looking for motivated students to pursue their Ph.D. work with interests in Number Theory . Interested candidates may contact me along with a CV.