Bidisha Roy

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20182026

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math.NT2023

Elliptic curve over totally real fields: A Survey

Bidisha Roy, Lalit Vaishya

In this survey article, we summarise the known results towards the conjecture: elliptic curves over totally real number fields are modular. For understanding these recent results i…

math.NT2023

Transcendence measure of $e^{1/ n}$

Marta Dujella, Anne-Maria Ernvall-Hytönen, Linda Frey +1

For a given transcendental number $ξ$ and for any polynomial $P (X) =: λ_{0} + \dots + λ_{k} X^{k} \in Z [X]$ , we know that $P (ξ) \neq = 0.$ Let $k \geq 1$ and $ω (k, H)$ be the infimum…

Elliptic curve over totally real fields: A Survey

Transcendence measure of e1/n

Transcendence measure of $e^{1/ n}$