Siddhi Pathak

collaborators

3 papers

math.NT2025

Selmer stability for elliptic curves in Galois $ℓ$ -extensions

Siddhi Pathak, Anwesh Ray

We study the behavior of Selmer groups of an elliptic curve $E / Q$ in finite Galois extensions with prescribed Galois group. Fix a prime $ℓ \geq 5$ , a finite group $G$ w…

math.NT2025

Variant of Ramanujan polynomials and a conjecture of Maji & Sarkar

Mrityunjoy Charan, Jaban Meher, Siddhi Pathak

We settle a conjecture proposed by B. Maji and T. Sarkar regarding the location of zeros of a two-parameter family of reciprocal polynomials, $R_{k, ℓ} (z)$ for positive integers…

math.NT2024

Rank stability of elliptic curves in certain non-abelian extensions

Siddhi Pathak, Anwesh Ray

Let $E_{/ Q}$ be an elliptic curve with rank $E (Q) = 0$ . Fix an odd prime $p$ , a positive integer $n$ and a finite abelian extension $K / Q$ with rank $E(K) =…

Selmer stability for elliptic curves in Galois ℓ-extensions

Variant of Ramanujan polynomials and a conjecture of Maji & Sarkar

Rank stability of elliptic curves in certain non-abelian extensions

Selmer stability for elliptic curves in Galois $ℓ$ -extensions