K. Chakraborty

activity

20162026

most citedOn Moments of non-normal number fields

6 citations · 18 across the 21 of their papers we have counts for

collaborators

Showing 2018Show all

4 papers · 1 filter

math.NT2018

Complete solutions of certain Lebesgue-Ramanujan-Nagell type equations

Kalyan Chakraborty, Azizul Hoque, Richa Sharma

It is well-known that for $p = 1, 2, 3, 7, 11, 19, 43, 67, 163$ , the class number of $Q (- p)$ is one. We use this fact to determine all the solutions of $x^{2} + p^{m} = 4 y^{n}$ …

math.NT2018★ 2 cited

A note on certain real quadratic fields with class number upto three

Kalyan Chakraborty, Azizul Hoque, Mohit Mishra

We obtain criteria for the class number of certain Richaud-Degert type real quadratic fields to be 3. We also treat a couple of families of real quadratic fields of Richaud-Degert…

math.NT2018★ 1 cited

Class groups of imaginary quadratic fields of $3$ -rank at least $2$

Kalyan Chakraborty, Azizul Hoque

We produce an infinite family of imaginary quadratic fields whose ideal class groups have $3$ -rank at least $2$ .

math.NT2018

Exponents of class groups of certain imaginary quadratic fields

Kalyan Chakraborty, Azizul Hoque

Let $n > 1$ be an odd integer. We prove that there are infinitely many imaginary quadratic fields of the form $Q (x^{2} - 2 y^{n})$ whose ideal class group has an element of…

Complete solutions of certain Lebesgue-Ramanujan-Nagell type equations

A note on certain real quadratic fields with class number upto three

Class groups of imaginary quadratic fields of 3-rank at least 2

Exponents of class groups of certain imaginary quadratic fields

Class groups of imaginary quadratic fields of $3$ -rank at least $2$