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

collaborators

Showing 2017Show all

3 papers · 1 filter

math.NT2017★ 2 cited

Divisibility of class numbers of certain families of quadratic fields

Azizul Hoque, Kalyan Chakraborty

We construct some families of quadratic fields whose class numbers are divisible by $3.$ The main tools used are a trinomial introduced by Kishi and a parametrization of Kishi and…

math.NT2017

Quadratic reciprocity and Some "non-differentiable" functions

Kalyan Chakraborty, Azizul Hoque

Riemann's non-differentiable function and Gauss's quadratic reciprocity law have attracted the attention of many researchers. In \cite{RM} Murty and Pacelli gave an instructive pro…

math.NT2017

Divisibility of the class numbers of imaginary quadratic fields

Kalyan Chakraborty, Azizul Hoque, Yasuhiro Kishi +1

For a given odd integer $n > 1$ , we provide some families of imaginary quadratic number fields of the form $Q (x^{2} - t^{n})$ whose ideal class group has a subgroup isomorp…