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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math.NT2024

Generalized Fruit Diophantine equation over number fields

Satyabrat Sahoo, Shanta Laishram

Let $K$ be a number field and $O_{K}$ be the ring of integers of $K$ . In this article, we study the solutions of the generalized fruit Diophantine equation $ax^d-y^2-z^2 +x…

math.NT2024

On the solutions of the generalized Fermat equation over totally real number fields

Satyabrat Sahoo

Let $K$ be a totally real number field and $O_{K}$ be the ring of integers of $K$ . In this article, we study the asymptotic solutions of the generalized Fermat equation $Ax…

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…

Generalized Fruit Diophantine equation over number fields

On the solutions of the generalized Fermat equation over totally real number fields

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

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