An oft cited letter from Tate to Serre on computing local heights on elliptic curves
John Tate
TL;DR
This paper discusses a 1979 letter from John Tate to Jean-Pierre Serre that presents an efficient algorithm for computing local heights on elliptic curves, contributing to computational number theory.
Contribution
It introduces a novel, efficient algorithm for calculating local heights on elliptic curves, enhancing computational methods in the field.
Findings
The algorithm improves computational efficiency for local height calculations.
It provides a more elegant approach compared to previous methods.
The method has practical applications in elliptic curve cryptography.
Abstract
A 1979 letter from John Tate to Jean-Pierre Serre in which the author describes an efficient and elegant algorithm for computing local heights on elliptic curves.
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Taxonomy
TopicsPolynomial and algebraic computation · Data Management and Algorithms · Advanced Numerical Analysis Techniques