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Integrated First Degree

B.E.(Biotechnology)
B.E.(Chemical)
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B.E.(Computer Science)
B.E.(Electrical and Electronics)
B.E.(Electronics and Communication)
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Saranya G. Nair

goa Mathematics

Assistant Professor

Number Theory
A Ex- 1, A Wing, Department of Mathematics, BITS Pilani, K K Birla Goa Campus, Goa, 403726.
saranyan@goa.bits-pilani.ac.in
0832-2580469
Saranya G Nair

Publications

  • S. G Nair and T. N Shorey,  Irreducibility of Laguerre Polynomial $L_n^{(-1-n-r)}(x)$, Indag. Math. 26 (2015), 615-625.  
  • S. G Nair and T. N Shorey, Lower bounds for the greatest prime factor of product of consecutive positive integers, Journal of Number Theory 159 (2016),  307-328. 
  • S. Laishram, S. G Nair and T. N. Shorey,  Irreducibility of Generalized Laguerre Polynomials   $L_n^{(\frac{1}{2}+u)}(x)$ with integer $u$, Journal of Number Theory 160 (2016), 76-107.      
  • S. G Nair and T. N Shorey,  On the equation $n!=a_1!a_2!... a_t!$, Indag. Math.,  27 (2016), 634-642.
  • S. G. Nair and T. N Shorey, Generalized Laguerre polynomials with applications, Math. Student 86 (2017), 87-101.
  • S. G. Nair and T. N Shorey, Fibonacci sequence with applications and extensions,  Math. Student 86 (2017), 55-62.
  • S. G. Nair and T. N Shorey, On products from blocks of consecutive odd integers, Publ. Math. Debrecen,  92 (2018), 1-15.
  • K.C Chim, S. G Nair and T. N Shorey, Explicit $abc$-conjecture and its applications, Hardy Ramanujan Journal,  41 (2018), 143-156.
  • S. G. Nair and T. N Shorey,  Irreducibility of Generalised Laguerre Polynomial $L_n^{(\frac{1}{2}+u)}(x^2)$ with  $-18 \leq u \leq -2$, Acta Arithmetica, 184 (2018), 363-383.
  • S. Laishram, S. G Nair and T. N. Shorey, On the Galois group of Generalised Laguerre polynomials II, Hardy Ramanujan Journal,  42 (2019), 26-30.
  • S. Laishram, S.G Nair and T.N Shorey, Irreducibility of extensions of Laguerre Polynomials, Functiones et Approximatio Commentarii Mathematici 62 (2020), 143-164.
  •  R. Bera and S. G Nair,  Newton Polygons and the constant associated with the Prouhet-Tarry-Escott Problem, Acta Arithmetica, 213 (2024), 75-95.  
  • A. Jindal, S. G Nair and T. N Shorey,  Extensions of irreducibility results on
    generalized Laguerre polynomials $L_n^{(-1-n-s)(x)}$}, submitted.                

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