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Integrated First Degree

B.E.(Biotechnology)
B.E.(Chemical)
B.E.(Civil)
B.E.(Computer Science)
B.E.(Electrical and Electronics)
B.E.(Electronics and Communication)
B.E.(Electronics and Instrumentation)
B.E.(Manufacturing Engineering)
B.E.(Mechanical)
B.Pharm.(Pharmacy)
M.Sc.(Biological Sciences)
M.Sc.(Chemistry)
M.Sc.(Economics)
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M.Sc.(Mathematics)
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MBA (Master of Business Administration in Business Analytics)
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M.E.(Electrical with specialization in Power Electronics and Drives)
MBA (Master of Business Administration)
M.E. Civil – Water Resource Engineering
M. E. Computer Science with Specialization in Information Security with B.Sc. input
M.E. (Mechanical with specialization in Thermal Engineering)
M.E. Chemical Engineering (with specialization in Petroleum Engineering)
M.E. Electronics & Control
M.E. M.Pharm
M.E.(Biotechnology)
M.E.(Chemical)
M.E.(Civil with specialization in Infrastructure Engineering and Management)
M.E.(Civil with specialization in Structural Engineering)
M.E.(Civil with specialization in Transportation Engineering)
M.E.(Communication Engineering)
M.E.(Computer Science)
M.E.(Design Engineering)
M.E.(Embedded Systems)
M.E.(Manufacturing Systems Engineering)
M.E.(Mechanical)
M.E.(Microelectronics)
M.E.(Sanitation Science, Technology and Management)
M.E.(Software Systems)
M.Pharm.(Pharmaceutical Chemistry)
M.Pharm.(Pharmaceutics)
M.Pharm.(Pharmacology)
M.Pharm.(Pharmacy)
M.Sc. General Studies – Communication and Media Studies Stream
Master in Public Health
MBA(Master of Business Administration In Business Analytics)

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Divyum Sharma

pilani Mathematics

Assistant Professor, Department of Mathematics,
BITS Pilani, Pilani Campus

Number Theory
Office: 6165B,
Department of Mathematics, Birla Institute of Technology & Science, Pilani- 333031, Rajasthan. India.
divyum.sharma@pilani.bits-pilani.ac.in
+91-1596-255605

Publications

  • On the representation of an integer in Ostrowski and recurrence numeration systems (with Mohit Mittal), https://arxiv.org/abs/2409.06232

  • On the representation of an imaginary quadratic integer in two different bases, https://arxiv.org/abs/2311.17348, Submitted

  • Diagonalizable Thue Equations -- revisited (with N. Saradha), http://arxiv.org/abs/2204.12082, Ramanujan J. (2023) 62, 291–306
  • Rational solutions to the variants of Erdos-Selfridge superelliptic curves (with P. Das, S. Laishram, N. Saradha), https://arxiv.org/abs/2105.02792, Int. J. Number Theory (2023) 19–07, 1707–1744
  • On the coefficient-choosing game (with L. Singhal), Moscow J. of Combinatorics and Number Theory 10--3 (2021), 183--202
  • Joint distribution in residue classes of the base-$q$ and Ostrowski digital sums, Unif. Distrib. Theory 14 (2019), no. 2, 1-26
  • Thue's inequalities and the hypergeometric method (with S. Akhtari and N. Saradha), Ramanujan J. 45 (2018), no. 2, 521-567
  • A note on Thue inequalities with few coefficients (with N. Saradha), Alladi60: Analytic Number Theory, Modular Forms and q-Hypergeometric Series, Springer Proc. Math. Stat., 221, Springer, Cham (2017), 665-675
  • Contributions to a conjecture of Mueller and Schmidt on Thue inequalities (with N. Saradha), Proceedings - Mathematical Sciences 127 (2017), no. 4, 565-584
  • On the number of non-zero digits of integers in multi-base representations (with Cs. Bertok, L. Hajdu and F. Luca), Publ. Math. Debrecen (2017) 90/1-2, 181-194.
  • Number of solutions of cubic Thue inequalities with positive discriminant (with N. Saradha), Acta Arith. 171 (2015), no. 1, 81-95
  • Simultaneous rational approximation via Rickert's Integrals  (with N. Saradha), Indag. Math. (N. S.) 26 (2015), 88-105.
  • Arithmetic nature of infinite series and integrals (with N. Saradha), Contemp. Math. (2015) 655, 191-207

  • Number of representations of integers by binary forms (with N. Saradha), Publ. Math. Debrecen 85/1-2 (2014); Corrigendum ibid. 86/3-4 (2015), 503-504

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