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Vivek Pal

Publications and source records attributed to Vivek Pal.

2 recordsLinked to original sources

Periods of Quadratic Twists of Elliptic Curves

In this paper we prove a relation between the period of an elliptic curve and the period of its real and imaginary quadratic twists. This relation is often misstated in the literature.

math.NT↗

Isomorphisms of Algebraic Number Fields

Let $\mathbb{Q}(α)$ and $\mathbb{Q}(β)$ be algebraic number fields. We describe a new method to find (if they exist) all isomorphisms, $\mathbb{Q}(β) \rightarrow \mathbb{Q}(α)$. The algorithm is particularly efficient if the number of isomorphisms is one.

cs.SC↗