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Publications

Publications

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; https://arxiv.org/abs/2212.11178
  2. ''Size of the 2 Selmer groups for Heronian elliptic curves''; Debopam Chakraborty & Vinodkumar Ghale; https://arxiv.org/abs/2301.08099

  3. ''Elliptic curves associated with Heron triangles with high 2-Selmer rank'' Vinodkumar Ghale, Imdadul Islam & Debopam Chakraborty; http://arxiv.org/abs/2308.00625
 
 
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).

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