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 2023Show all

3 papers · 1 filter

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

Diophantine $D (n)$ -quadruples in $Z [4 k + 2]$

Kalyan Chakraborty, Shubham Gupta, Azizul Hoque

Let $d$ be a square-free integer and $Z [d]$ a quadratic ring of integers. For a given $n \in Z [d]$ , a set of $m$ non-zero distinct elements in $\mathb…

On the plus parts of the class numbers of cyclotomic fields

On the exponential Diophantine equation x2+pmqn=2yp

Diophantine D(n)-quadruples in Z[4k+2​]

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

Diophantine $D (n)$ -quadruples in $Z [4 k + 2]$