Research
Research
Quantitative bounds on the number of non-congruent numbers of the form 2PQ (with Yoonjin lee) Accepted in Results in Mathematics (2025).
A necessary condition for 2pq to be a congruent number, Acceped in Acta Mathematica
Hungarica (2025).
Explicit criteria for 3p or 6p to be non-θ-congruent numbers (with Yoonjin Lee), The Ramanujan Journal (2025), volume 68, issue 1, pages 1-22.
The class number of Q(√−pq) for a congruent number pq (with Anupam Saikia), European Journal of Mathematics (2025), volume 11, issue 2, pages 30.
Sufficient condition for non-congruent pq and 2pq with primes p and q in the form of 8k+1, Bulletin of Korean Mathematical Society (2025), Volume 62 Issue 3, Pages 855–866.
Families of non-congruent numbers with arbitrarily many triplets of prime factors (with Anupam Saikia), Kyushu Journal of Mathematics, 78 (2024), no. 1, 119–128.
Required condition for a congruent number: pq with primes p ≡ 1 (mod 8) and q ≡ 3 (mod 8), Journal of Number Theory. 263 (2024), 139–152.
A Heron triangle and a Diophantine equation (with Debopam Chakraborty, Vinodkumar Ghale), Period. Math. Hungar. 86 (2023), no. 2, 530–537.
A necessary condition for p and 2p to be congruent for a prime p≡1 (mod8) (with Anupam Saikia), J. Pure Appl. Algebra227(2023), no. 7, Paper No. 107335, 12 pp.
On the 2-part of the class number of Q(ñD)for a congruent number D (with Anupam Saikia), Res. Number Theory8(2022), no.4, Paper No. 78, 9 pp.
Families of even non-congruent numbers with arbitrarily many pairs of prime factors (with Anupam Saikia), Rocky Mountain J. Math.52(2022), no.2, 471–481.
On θ-congruent numbers over real number fields (with Anupam Saikia), Bull. Aust. Math. Soc.103(2021), no.2, 218–229.
On the period of the continued fraction of √pq (with Anupam Saikia, Debopam Chakraborty), Acta Arith.196(2020), no.3, 291–302.
Families of non-congruent numbers with arbitrarily many pairs of prime factors (with Anupam Saikia), Integers20(2020), Paper No. A55, 12 pp.