6 citations · 18 across the 21 of their papers we have counts for
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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 The main tools used are a trinomial introduced by Kishi and a parametrization of Kishi and…
Pell-type equations and class number of the maximal real subfield of a cyclotomic field
Azizul Hoque, Kalyan Chakraborty
We investigate the solvability of the Diophantine equation in integers for certain integer and prime . Then we apply these results to produce family of maxi…
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…
Divisibility of the class numbers of imaginary quadratic fields
Kalyan Chakraborty, Azizul Hoque, Yasuhiro Kishi +1
For a given odd integer , we provide some families of imaginary quadratic number fields of the form whose ideal class group has a subgroup isomorp…