Journal title
Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume
6197 LNCS
Last updated
2016-11-11T18:12:01.32+00:00
Page
16-31
Abstract
Coleman's theory of p-adic integration figures prominently in several
number-theoretic applications, such as finding torsion and rational points on
curves, and computing p-adic regulators in K-theory (including p-adic heights
on elliptic curves). We describe an algorithm for computing Coleman integrals
on hyperelliptic curves, and its implementation in Sage.
number-theoretic applications, such as finding torsion and rational points on
curves, and computing p-adic regulators in K-theory (including p-adic heights
on elliptic curves). We describe an algorithm for computing Coleman integrals
on hyperelliptic curves, and its implementation in Sage.
Symplectic ID
398266
Download URL
http://arxiv.org/abs/1004.4936v2
Submitted to ORA
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Publication type
Journal Article
Publication date
13 August 2010