DEPARTMENTS
Dr. Sudhansu Sekhar Rout
Dr. Sudhansu Sekhar Rout

Assistant Professor (Grade I)

Office Address:

Department of Mathematics National Institute of Technology Calicut N.I.T. Campus P.O. 673601 Kozhikode, Kerala.

Contact no:

0495 228 5226

Home Address:

Qtr No:D-24, Department of Mathematics National Institute of Technology Calicut N.I.T. Campus P.O. 673601 Kozhikode, Kerala.

  • Ph.D.: National Institute of Technology Rourkela

  • Post-Doc: Harish-Chandra Research Institute Prayagraj (Allahabad)

  • Educational Qualifications

    • Ph.D.: National Institute of Technology Rourkela

    • Post-Doc: Harish-Chandra Research Institute Prayagraj (Allahabad)

    Ph.D. Thesis Supervised:

    • Pritam Kumar, (on going NIT Rourkela)

    PG Project Supervised:

    • Pradum Gupta (M210626MA), Elliptic Functions and its Applications, (2022)

    • Awarded Open Arms travel grant to attend ICM 2018 by the Organizing Committee.

    • Awarded Prof. A.K. Agarwal prize by the Indian Mathematical Society.

    • Awarded HRI Post doctoral Fellowship, by Harish-Chandra Research Institute Allahabad.

    • Awarded NBHM Post doctoral Fellowship, by National Board for Higher Mathematics (Did not avail).

    • Qualified Junior Research Fellowship (JRF) and National Eligibility Test for Lectureship (NET) in Mathematics conducted by CSIR.

    • Qualified Graduate Aptitude Test in Engineering (GATE) in Mathematics.

    • National Merit Scholarship, Govt. of Odisha.

    I am currently working as an Assistant Professor (Grade-I) in the Department of Mathematics, National Institute of Technology Calicut, India. My broad area of research is Number Theory and my research interest includes:

    • Diophantine equations
    • S-units in recurrence sequences
    • Special values of zeta functions
    • Arithmetic of dynamical systems

     

    • The Institute of Mathematical Sciences Chennai, India (June 14, 2022 - June 24, 2022)

    • Harish-Chandra Research Institute, Allahabad, India (Dec 26, 2017 - Jan 05, 2018)

    • University of Sopron, Hungary (June 03-- June 11, 2017)

    • University of Debrecen, Hungary (May 08- June 02, 2017)

    • Indian Statistical Institute Delhi, India (Dec 19--30, 2016)

    • National Institute of Technology Rourkela, India (July 25--August 04, 2016)

    • Indian Statistical Institute Delhi, India (May 30--June 04, 2016)

    • Gave an invited talk in Departmental Seminar at NIT Calicut in January 2023 on Perfect Powers and S-units in Recurrence Sequences.

    • Gave an invited talk in Institute Seminar at KSoM in June 2022 on S-units in Recurrence Sequences.

    • Gave an invited talk in Lectures on Transcedence on commutative algebraic groups at NISER Bhubaneswar in December 2019 on intersection of orbits in dynamical systems.

    • Gave an invited talk in Workshop on Number Theory at NISER Bhubaneswar in December 2018 on Sums of $S$-units in recurrence sequences.

    • Gave a talk in the International Congress of Mathematicians, Rio de Janeiro, Brazil in August 2018, on Lucas non-Weiferich primes in arithmetic progression.

    • Gave a series of lectures in the Teacher's Enrichment Workshop(TEW) at IMA Bhubaneswar in June 2018 on Complex Analysis.

    • Gave a series of lectures in the Interactive Mathematics Training Camp for Undergraduate Students at IMA Bhubaneswar in May 2018 on Linear Algebra.

    • Gave two lectures in the National Workshop on LaTex at IMA Bhubaneswar in March 2018.

    • Gave an invited talk in the 83rd Annual Conference of the Indian mathematical society at SV University Tirupati in Dec 2017 on Lucas-Weiferich primes and $abc$ conjecture.

    • Gave a talk at University of Debrecen, Hungary in May 2017 on "Lucas-Weiferich primes and $abc$ conjecture'.

    • Gave a talk in the Number Theory Meet at Harish-Chandra Research Institute Allahabad in Sep. 2016 on Balancing non-Wieferich primes in arithmetic progression.

    • Gave a talk in the Number Theory Seminar at Harish-Chandra Research Institute Allahabad in March 2016 on On $ell$-th order gap balancing numbers.

    • Gave a talk at Veer Surendra Sai University of Technology, Burla in Jan 2016 on Perfect powers in balancing and Lucas-balancing numbers.

    • Gave a talk at National Institute of Technology Rourkela in Oct. 2015 on Balancing non-Wieferich primes in arithmetic progression.

    2022-2023 :

    • MA2003D: Mathematics-IV (Winter)
    • MA6324: Abstract Algebra (Winter)
    • MA2001D: Mathematics-III (Monsoon)
    • MA8002: Advanced Topics in Mathematics-2 (Monsoon)

    Area of Research 

    Number Theory 

     

    Published/ Accepted

    2024       P.K. Bhoi, S.S. Rout and G. K. Panda 

                  On perfect powers that are sum of two balancing numbers, 

                  Period. Math. Hungar., 88 (2024), 93-101

                  https://doi.org/10.1007/s10998-023-00540-7

     

    2023       P.K. Bhoi, S.S. Rout and G. K. Panda 

                  Sums of $S$-units in sum of terms of recurrence sequences, 

                  Ramanujan J. 62 (2023), 457-468.

                  https://doi.org/10.1007/s11139-023-00756-8

     

                  N.K. Meher and  S.S. Rout  

                  Cullen Numbers in Sums of Terms of Recurrence Sequence, 

                  Results Math 78 Article number: 102 (2023). 

                  https://doi.org/10.1007/s00025-023-01880-z

     

    2022       S. S. Rout

                   The orbit intersection problem in positive characteristic, 

                   Acta Arith. 206(3) (2022), 277-290.

                   DOI: 10.4064/aa220917-17-11

     

                 N. K. Meher and S. S. Rout

                 S-parts of sums of terms of linear recurrence sequences,

                Acta Math. Hunga.  168(2) (2022), 553-571.

                 https://doi.org/10.1007/s10474-022-01283-6 

     

    2021   N. K. Meher and S. S. Rout

               Multiple Lucas Dirichlet series associated to additive and Dirichlet characters,

               Mediterr. J. Math. 18(6), 262 (2021). 

               https://doi.org/10.1007/s00009-021-01892-5, IF: 1.4 

     

               S. S. Rout and A. Juyal, 

               The Mordell-Weil bases for the elliptic curve yx− m2m2,

               Czechoslovak Math. J. 71(146) (2021) 1133-1147. 

               https://doi.org/10.21136/CMJ.2021.0238-20, IF: 0.4 

     

    2020   S. S. Rout

              The dynamical Mordell - Lang problem for intersection of two orbits,

              J. Number Theory 207(2020), 122-137. MR4017941 

              https://doi.org/10.1016/j.jnt.2019.07.003, IF : 0.72 

     

              P. Das, P. K. Dey, B. Maji and S. S. Rout

              Perfect powers in alternating sum of consecutive cubes, 

              Glas. Math. Ser. III 55(1) (2020), 37-53. 

             IF. 0.6 

     

             P. Das, P. K. Dey, and S. S. Rout

             Sums of fifth powers being a perfect power: A special case, 

             J. Ramanujan Math. Soc. 35(1) (2020), 23-33. 

             EID: 2-s2.0-85089003768, IF : 0.59

     

    2019   E. Mazumdar and S. S. Rout

               Prime powers in sums of terms of binary recurrence sequences, 

               Monatsh Math. 189(4) (2019), 695-714. MR3982094 

               https://doi.org/10.1007/s00605-019-01282-w, IF: 0.8 

     

              S. S. Rout

              Lucas non-Weiferich primes in arithmetic progressions, 

              Funct. Approx. Comment. Math. 60(2019), 167-175. MR3964258 

              https://doi.org/10.7169/facm/1709, IF: 0.46 

     

              A. Bérczes, L. Hajdu, I. Pink, and S. S. Rout

              Sums of S-units in recurrence sequences, 

              J. Number Theory 196(2019), 353-363. MR3906482 

              https://doi.org/10.1016/j.jnt.2018.10.009, IF: 0.72 

     

    2018   N. K. Meher and S. S. Rout

               Analytic continuation of multiple Lucas zeta functions, 

               J. Math. Anal. Appl. 468(2018), 1115-1130. MR3852570 

                https://doi.org/10.1016/j.jmaa.2018.08.063, IF: 1.58 

     

               S. S. Rout and R. Thangadurai, 

              ℓ-th order gap balancing numbers, 

               Integers 18 (2018), Paper No. A56. MR3813840 

     

               S. S. Rout and N. K. Meher, 

               Analytic continuation of multiple Fibonacci zeta functions, 

               Proc. Japan Acad. Ser. A Math. Sci. 94(6) (2018), 64–69. 

                https://doi.org/10.3792/pjaa.94.64, IF: 0.4 

     

    2017    N. K. Meher and S. S. Rout

                Linear combinations of prime powers in sums of terms of binary recurrence sequences,

                Lith. Math. J. 57 (4) (2017), 1–15. MR3736198 

                https://doi.org/10.1007/s10986-017-9374-z, IF: 0.57 

     

                P. K. Dey and S. S. Rout

                Diophantine equations concerning balancing and Lucas balancing numbers,

                Arch. Math. (Basel) 108(1) (2017), 29–43. MR3599539 

                https://doi.org/10.1007/s00013-016-0994-z, IF: 0.6 

     

    2016   S. S. Rout

               Balancing non-Wieferich primes in arithmetic progression and abc conjecture,

               Proc. Japan Acad. Ser. A Math. Sci. 92(9) (2016), 112–116. MR3567596 

               https://doi.org/10.3792/pjaa.92.112, IF: 0.4 

     

    2015   S. S. Rout, G. K. Panda and R. K. Davala 

               Stability of balancing sequence modulo p

               Unif. Distrib. Theory 10(2) (2015), 75–89. MR3434192 

     

               S. S. Rout and G. K. Panda 

               k-Gap balancing numbers, 

                Period. Math. Hungar. 70(1) (2015), 109–121. MR3315286 

                https://doi.org/10.1007/s10998-014-0067-7, IF: 0.9

     

    2014   S. S. Rout and G. K. Panda 

               Balancing Dirichlet series and related L-functions,

               Indian J. Pure Appl. Math 45(6) (2014), 943–952. MR3298045

               https://doi.org/10.1007/s13226-014-0097-0, IF: 0.46 

     

               G. K. Panda and S. S. Rout 

               Periodicity of balancing numbers, 

              Acta. Math. Hungar.143(2) (2014), 274–286. MR3233532

               https://doi.org/10.1007/s10474-014-0427-z, IF: 0.65 

     

    2013   G. K. Panda and S. S. Rout 

               Gap balancing numbers, 

               Fib. Quart. 51(3) (2013), 239–248. MR3093677 

               IF: 0.7

    • Workshop on Arithmetic of Dynamical Systems (May 15-20, 2023) KSoM, Kozhikode, India.

    • International Conference on Class Groups of Number Fields and Related Topics-2022 (November 21-24, 2022), KSoM, Kozhikode, India.

    • 48th Orissa Mathematical Society Conference (April 10-11, 2021), IMA Bhubaneswar, Odisha, India.

    • Lectures on Transcedence on commutative algebraic groups (Dec 09-15, 2019), NISER Bhubaneswar, Odisha, India.

    • Workshop on Number Theory (Nov 30- Dec 06, 2018), NISER Bhubaneswar, Odisha, India.

    • International Congress of Mathematicians (Aug 01-09, 2018), Rio de Janeiro, Brazil. 

    • Number Theory: Arithmetic, Diophantine, and Transcendence (Dec 22-25, 2017), IIT Ropar, India.

    • GIAN course on Transcendental numbers and special values of Dirichlet series ( Dec 16- 21, 2017) IIT Ropar, India.

    • 83rd Annual Conference of The Indian Mathematical Society- An International meet (Dec 12-15, 2017), SV University, Tirupati, India.

    • International Conference on Class Groups of Number Fields and Related Topics (Sep 04 - 07, 2017) HRI Allahabad, India.

    • School and Workshop on Modular forms and Black holes (Jan 05- 14, 2017) NISER Bhubaneswar, Odisha, India.

    • International Conference of The Indian Mathematical Consortium in cooperation with American Mathematical Society (Dec 14-17, 2016) Banaras Hindu University, Varanasi, India.

    • Number Theory Meet (Sep 06-07, 2016) HRI Allahabad, India.

    • Triveni Number Theory Meet (March 04-08, 2016 ) HRI Allahabad, India.

    • AIS on Diophantine equations (June 16-July 04, 2014) Himachal Pradesh University, Shimla, India.

    • CIMPA Research School in Fourier analysis of groups in Combinatorics (Nov 18-30, 2013) NEHU, Shillong, India.

    • AIS on Analytic Number Theory (June 10- 29, 2013) KIIT University, Odisha, India.

    • The annual conference of The Odisha Mathematical Society (December 29-30, 2012) Sambalpur University, Odisha, India.

    • Conference in Number Theory (December 12-14, 2012) Jadavpur University, Kolkatta, India.

    • The Pan Asian Number Theory Conference (July 23 -27, 2012) IISER Pune, India.

    • Workshop on Bloch-Kato conjectures (July 17-21, 2012) IISER Pune, India.

    • Winter School in Number Theory (December 20-24, 2011), IISER Kolkata, India.

    • Symposium in Number Theory (May 31- June 03, 2011), Bhaskaracharya Prastishthana, Pune, India.

    • Discussion meeting on Geometry and Analysis (Jan 20- Feb 02, 2010) HRI Allahabad, India.

    • AFS -II (June 08- July 04, 2009) Bhaskaracharya Prastishthana, Pune, India.

    • National workshop on Mathematical aspects of Computer Science (March 14-15, 2009), Sambalpur University, Odisha, India.

    • 2023-2026: Science and Engineering Research Board, Core Research Grant.
    • 2023-2025: National Board for Higher Mathematics.

    1. Life Member of Indian Mathematical Society (L/2023/107).
    2. Life Member of Odisha Mathematical Society (LMOMS/823/2022).
    3. Life Member of Ramanujan Mathematical Society (1921).