Publications

• A. Saikia and K. Saloni, Bounding Hilbert coefficients of parameter ideals. J. Algebra 501 (2018), pp 328-344.

• D. Chakraborty and A. Saikia; An explicit construction for unramified quadratic extensions of biquadratic fields. Acta Arith. 178 (2017), no. 2, 153-161

• 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; On relative class number and continued fractions. Bull. Korean Math. Soc. 52 (2015), no. 5, 1559-1568

• 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.

• 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.

• R. Barman and A. Saikia; Iwasawa Lambda-Invariants of p-adic Measures and Their Gamma-Transforms, Journal of Number Theory, Volume 10, 2012, pp 2258-2266.

• R. Barman and A. Saikia; Iwasawa Lambda-Invariants and Gamma-Transforms of p-Adic Measures on Z_{p}^{n}, International Journal of Number Theory, Volume 6, No. 8, 2010, pp 1819-1829.

• R. Barman and A. Saikia; A Note on Iwasawa Mu-Invariants of Elliptic Curves, Bulletin of the Brazilian Mathematical Society, New Series 41 (3), 2010, pp. 399-407.

• R. Barman and A. Saikia; Coefficients of a p-Adic Measure on Z_{p}^{n} and Iwasawa Lambda-Invariants of Its Gamma-Transforms, Asian-European Journal of Mathematics, Volume: 3, Issue: 4 (2010) pp. 545-554

• A. Saikia, Ribet`s Construction of a Suitable Cusp Eigenform, Iwasawa Theory of Totally Real Fields, (Proceedings of a Workshop, published by the Ramanujan Mathematical Society and edited by John Coates et al) 2010, No. 12, pp. 49-65.

• A. Saikia and R. Barman; Iwasawa Lambda-Invariants and Gamma-Transforms, Journal of Ramanujan Mathematical Society, vol. 24 (2), 2009, pp. 199-209.

• 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.

• A. Saikia; Selmer Groups of Elliptic Curves with Complex Multiplication, Canadian Journal of Mathematics, Vol 56 (1) 2004, pp. 194-208.

• A. Saikia; A Simple Proof of a Lemma of Coleman, Mathematical Proceedings of the Cambridge Philosophical Society, Vol. 130 (part 2), 2001, pp. 209-220.

• N.K. Sarma and A. Saikia; Torsion of elliptic curves over imaignary quadratic fields of class number 1, to appear in Rocky Mountain Journal.

• D. Chaudhuri and A. Saikia; On Group Algebras with Unit Groups of Derived Length at most Four, Publ. Math. Debrecen  86 (2015), no. 1-2, 39-48.

• D. Chaudhuri and A. Saikia; On the derived length of units in group algebra. Czechoslovak Math. J. 67(142) (2017), no. 3, 855-865.

• Rajesh P. Singh, A. Saikia and B.K. Sarma, Poly Dragon: An Efficient Multivariate Public Key Cryptosystem, Journal of Mathematical Cryptology. (2011), ISSN (Online) pp. 1862--2984, ISSN (Print) pp. 1862-2976.

• Rajesh P. Singh, A. Saikia and B.K. Sarma, Little-Dragon Two: An Efficient Multivariate Public Key Cryptosystem, International Journal of Network Security and Applications, vol. 2 (2), 2010, pp 1-10.