BITS Pilani

  • Page last updated on Wednesday, August 09, 2023




Manuscript under review: 
  1.  ''Class number divisibility of Q(√3p, √m − 21pn2) constructed from elliptic curves of 2-Selmer rank exactly 1''; Debopam chakraborty, Vinodkumar Ghale & Imdadul Islam;
  2. ''Size of the 2 Selmer groups for Heronian elliptic curves''; Debopam Chakraborty & Vinodkumar Ghale;

  3. ''Elliptic curves associated with Heron triangles with high 2-Selmer rank'' Vinodkumar Ghale, Imdadul Islam & Debopam Chakraborty;
Papers Published/Accepted:
  1. ''Construction of an infinite family of elliptic curves of 2-Selmer rank 1 from Heron triangles''; Debopam Chakraborty, Vinodkumar Ghale & Anupam Saikia; Research in Number Theory; Accepted, (2022)

  2. ''A Heron triangle and a Diophantine equation''; Vinodkumar Ghale, Shamik Das & Debopam Chakraborty; Periodica Mathematica Hungarica; 1 - 8 (2022)

  3. ''On class number divisibility of number fields and points on elliptic curves''; Debopam Chakraborty; A book chapter in ''Class groups of number fields and related topics''; Published by Springer; (2020)

  4. "On the period of the continued fraction of  √pq ''; Shamik Das, Debopam Chakraborty & Anupam Saikia; Acta Arithmetica; 196; 291 - 302; (2020)

  5. ''On a conjecture of Mordell''; Debopam Chakraborty & Anupam Saikia; Rocky Mountain Journal of Mathematics; 49 (8); 2545 - 2556 (2019)

  6. ''An explicit construction for un-ramified quadratic extensions of bi-quadratic fields''; Debopam Chakraborty & Anupam Saikia; Acta Arithmetica; 178; 153-161; (2017).

  7. ''Congruence relations for the fundamental unit of a pure cubic field and its class number''; Debopam Chakraborty & Anupam Saikia; Journal of Number Theory; 166; 76-84; (2016).

  8. ''On relative class number and continued fractions''; Debopam Chakraborty and Anupam Saikia; Bulletin of Korean Mathematical Society; 52; 1559-1568; (2015).

  9. ''Another look at real quadratic fields of relative class number one''; Debopam Chakraborty & Anupam Saikia;  Acta Arithmetica; 163:4; 371-377; (2014).

Quick Links

    An Institution Deemed to be University estd. vide Sec.3 of the UGC Act,1956 under notification # F.12-23/63.U-2 of Jun 18,1964

    © 2024 Centre for Software Development,SDET Unit, BITS-Pilani, India.

    Designed and developed by fractal | ink design studios