Azizul Hoque

activity

20162026

most citedA note on certain real quadratic fields with class number upto three

2 citations · 7 across the 23 of their papers we have counts for

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Showing 2025Show all

3 papers · 1 filter

math.NT2025

On the simultaneous $3$ -divisibility of class numbers of quadruples of real quadratic fields

Kalyan Banerjee, Ankurjyoti Chutia, Azizul Hoque

In this paper, we construct infinitely many quadruples of real quadratic fields whose class numbers are all divisible by $3$ . To the best of our knowledge, this is the first result…

math.NT2025

Elliptic surfaces to class groups and Selmer groups

Kalyan Banerjee, Kalyan Chakraborty, Azizul Hoque

In this note, we connect the $n$ -torsions of the Picard group of an elliptic surface to the $n$ -divisibility of the class group of torsion fields for a given integer $n > 1$ . We also…

math.NT2025

Fields with small class group in the family $Q (9 m^{2} + 2 m)$

Kalyan Chakraborty, Azizul Hoque

Very recently, Issa and Darrag [Arch. Math. (Basel) 123 (2024), no. 4, 379-383] determined partial Dedekind zeta values for certain ideal classes in the real quadratic fields of th…

On the simultaneous 3-divisibility of class numbers of quadruples of real quadratic fields

Elliptic surfaces to class groups and Selmer groups

Fields with small class group in the family Q(9m2+2m​)

On the simultaneous $3$ -divisibility of class numbers of quadruples of real quadratic fields

Fields with small class group in the family $Q (9 m^{2} + 2 m)$