Kalyan Chakraborty

most citedOn the plus parts of the class numbers of cyclotomic fields

1 citations · 1 across the 3 of their papers we have counts for

collaborators

3 papers

math.NT2023★ 1 cited

On the plus parts of the class numbers of cyclotomic fields

Kalyan Chakraborty, Azizul Hoque

We exhibit some new families of cyclotomic fields which have non-trivial plus parts of their class numbers. We also prove the $3$ - divisibility of the plus part of the class numbe…

math.NT2023

On the exponential Diophantine equation $x^{2} + p^{m} q^{n} = 2 y^{p}$

Kalyan Chakraborty, Azizul Hoque

We study the exponential Diophantine equation $x^{2} + p^{m} q^{n} = 2 y^{p}$ in positive integers $x, y, m, n$ , and odd primes $p$ and $q$ using primitive divisors of Lehmer sequences in combinati…

math.NT2023

Generalized Fruit Diophantine equation and Hyperelliptic curves

Om Prakash, Kalyan Chakraborty

We show the insolvability of the Diophantine equation $a x^{d} - y^{2} - z^{2} + x y z - b = 0$ in $Z$ for fixed $a$ and $b$ such that $a \equiv 1 (mod 12)$ and $b = 2^{d} a - 3$ , where $d$ is an…

On the plus parts of the class numbers of cyclotomic fields

On the exponential Diophantine equation x2+pmqn=2yp

Generalized Fruit Diophantine equation and Hyperelliptic curves

On the exponential Diophantine equation $x^{2} + p^{m} q^{n} = 2 y^{p}$