Narasimha Kumar

most citedAsymptotic solutions of the generalized Fermat-type equation of signature

(p, p, 3)

over totally real number fields

3 citations · 3 across the 2 of their papers we have counts for

collaborators

3 papers

math.NT2024★ 3 cited

Asymptotic solutions of the generalized Fermat-type equation of signature $(p, p, 3)$ over totally real number fields

Satyabrat Sahoo, Narasimha Kumar

In this article, we study the asymptotic solutions of the generalized Fermat-type equation of signature $(p, p, 3)$ over totally real number fields $K$ , i.e., $A x^{p} + B y^{p} = C z^{3}$ with p…

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

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…

Asymptotic solutions of the generalized Fermat-type equation of signature (p,p,3) over totally real number fields

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

Asymptotic solutions of the generalized Fermat-type equation of signature $(p, p, 3)$ over totally real number 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