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 2021Show all

2 papers · 1 filter

math.NT2021

On the Diophantine equation $d x^{2} + p^{2 a} q^{2 b} = 4 y^{p}$

Kalyan Chakraborty, Azizul Hoque

We investigate the solvability of the Diophantine equation in the title, where $d > 1$ is a square-free integer, $p, q$ are distinct odd primes and $x, y, a, b$ are unknown positive int…

math.NT2021

On the Diophantine equation $c x^{2} + p^{2 m} = 4 y^{n}$

Kalyan Chakraborty, Azizul Hoque, Kotyada Srinivas

Let $c$ be a square-free positive integer and $p$ a prime satisfying $p ∤ c$ . Let $h (- c)$ denote the class number of the imaginary quadratic field $Q (- c)$ . In th…

On the Diophantine equation dx2+p2aq2b=4yp

On the Diophantine equation cx2+p2m=4yn

On the Diophantine equation $d x^{2} + p^{2 a} q^{2 b} = 4 y^{p}$

On the Diophantine equation $c x^{2} + p^{2 m} = 4 y^{n}$