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.NT2026

Generalized Fermat equation over number fields

Satyabrat Sahoo

Let $K$ be a number field with ring of integers $O_{K}$ , and let $A, B, C \in O_{K} ∖ {0}$ . Denote by $S_{K}^{'}$ the set of prime ideals of $O_{K}$ divid…

math.NT2026

Generalized Fermat equation over cyclotomic $Z_{l}$ -extensions of totally real fields

Satyabrat Sahoo

Let $K$ be a totally real number field of odd degree in which $2$ is inert. Let $l \geq 5$ be a prime with $l ∤ [K : Q]$ and $g cd (\frac{l - 1}{2}, [K : Q]) = 1$ . We…

Generalized Fermat equation over number fields

Generalized Fermat equation over cyclotomic Zl​-extensions of totally real fields

Generalized Fermat equation over cyclotomic $Z_{l}$ -extensions of totally real fields