Satyabrate Sahoo

activity

20212026

x^{2} = B y^{p} + C z^{p}

and

2 x^{2} = B y^{p} + C z^{p}

over totally real fields

3 citations · 7 across the 13 of their papers we have counts for

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2 papers · 1 filter

math.NT2023

Lehmer-Type bounds and counting rational points of bounded heights on Abelian varieties

Narasimha Kumar, Satyabrat Sahoo

In this article, we study Lehmer-type bounds for the Néron-Tate height of $K ˉ$ -points on abelian varieties $A$ over number fields $K$ . Then, we estimate the number of $K$ -rati…

math.NT2023★ 3 cited

On the solutions of $x^{2} = B y^{p} + C z^{p}$ and $2 x^{2} = B y^{p} + C z^{p}$ over totally real fields

Narasimha Kumar, Satyabrat Sahoo

In this article, we study the solutions of certain type over $K$ of the Diophantine equation $x^{2} = B y^{p} + C z^{p}$ with prime exponent $p$ , where $B$ is an odd integer and $C$ is either…

Lehmer-Type bounds and counting rational points of bounded heights on Abelian varieties

On the solutions of x2=Byp+Czp and 2x2=Byp+Czp over totally real fields

On the solutions of $x^{2} = B y^{p} + C z^{p}$ and $2 x^{2} = B y^{p} + C z^{p}$ over totally real fields