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

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Showing 2022Show all

2 papers · 1 filter

math.NT2022

Lehmer sequence approach to the divisibility of class numbers of imaginary quadratic fields

Kalyan Chakraborty, Azizul Hoque

Let $k \geq 3$ and $n \geq 3$ be odd integers, and let $m \geq 0$ be any integer. For a prime number $ℓ$ , we prove that the class number of the imaginary quadratic field $\mathbb{Q…

math.NT2022

Diophantine triples with the property $D (n)$ for distinct $n$

Kalyan Chakraborty, Shubham Gupta, Azizul Hoque

We prove that for every integer $n$ , there exist infinitely many $D (n)$ -triples which are also $D (t)$ -triples for $t \in Z$ with $n \neq = t$ . We also prove that there are infin…

Lehmer sequence approach to the divisibility of class numbers of imaginary quadratic fields

Diophantine triples with the property D(n) for distinct n

Diophantine triples with the property $D (n)$ for distinct $n$