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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 2018Show all

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math.NT2018

Complete solutions of certain Lebesgue-Ramanujan-Nagell type equations

Kalyan Chakraborty, Azizul Hoque, Richa Sharma

It is well-known that for , the class number of is one. We use this fact to determine all the solutions of …

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

On the solutions of a Lebesgue - Nagell type equation

Sanjay Bhatter, Azizul Hoque, Richa Sharma

We find all positive integer solutions in and of for any non-negative integer .

math.NT2018★ 1 cited

Cyoclotomic Numbers Of Order 2l^2 With Prime L

Md. Helal Ahmed, Jagmohan Tanti, Azizul Hoque

The problem of determining cyclotomic numbers in terms of the solutions of certain Diophantine systems has been treated by many authors since the age of Gauss. In this paper we obt…

math.NT2018★ 1 cited

Class groups of imaginary quadratic fields of -rank at least

Kalyan Chakraborty, Azizul Hoque

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

math.NT2018

Exponents of class groups of certain imaginary quadratic fields

Kalyan Chakraborty, Azizul Hoque

Let be an odd integer. We prove that there are infinitely many imaginary quadratic fields of the form whose ideal class group has an element of…