4 papers
Generalized fruit Diophantine equation and super elliptic curves
Kalyan Banerjee, Kalyan Chakraborty, Ankita Das
In this article, we are interested in finding rational points on certain superelliptic curves.
On the simultaneous -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 . To the best of our knowledge, this is the first result…
Class groups of imaginary biquadratic fields
Kalyan Banerjee, Kalyan Chakraborty, Arkabrata Ghosh
We present two distinct families of imaginary biquadratic fields, each of which contains infinitely many members, with each member having large class groups. Construction of the fi…
Elliptic surfaces to class groups and Selmer groups
Kalyan Banerjee, Kalyan Chakraborty, Azizul Hoque
In this note, we connect the -torsions of the Picard group of an elliptic surface to the -divisibility of the class group of torsion fields for a given integer . We also…