Publications

 

 
  Commutative Algebra
Arithmetic of  Number Fields
  • D. Chakraborty and A. Saikia; Congruence relations for the fundamental unit of a pure cubic field and its class number. J. Number Theory 166 (2016), 76-84.
  • D. Chakraborty and A. Saikia; Another Look at Real Quadratic Fields of Relative Class Number 1, Acta Arithmetica, vol. 163 (4), 2014, pp 371-378.
Iwasawa Theory
  • A. Saikia, Explicit reciprocity law of Bloch-Kato and exponential maps. The Bloch-Kato conjecture for the Riemann zeta function, 65-96, London Math. Soc. Lecture Note Ser., 418, Cambridge Univ. Press, Cambridge, 2015.
  • A. Saikia; On units generated by Euler systems, Number Theory and Applications, Proceedings of the International Conference on Number Theory, (Harish-Chandra Research Institute) 2009, pp.157-174.
Elliptic Curve
  • N.K. Sarma and A. Saikia; Torsion of elliptic curves over imaignary quadratic fields of class number 1, to appear in Rocky Mountain Journal.

Group Algebra

 

Cryptography