COLEMAN INTEGRATION FOR EVEN DEGREE MODELS OF HYPERELLIPTIC CURVES

Q1 Mathematics

Lms Journal of Computation and Mathematics Pub Date : 2015-01-01 DOI:10.1112/S1461157015000029

Jennifer S. Balakrishnan

引用次数: 13

Abstract

The Coleman integral is a p-adic line integral that encapsulates various quantities of number theoretic interest. Building on the work of Har- rison (11), we extend the Coleman integration algorithms in (3), (1) to even degree models of hyperelliptic curves. We illustrate our methods with numer- ical examples computed in Sage.

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超椭圆曲线偶次模型的Coleman积分

Coleman积分是一种p进线积分，它包含了数论中的各种量。在Har- rison(11)工作的基础上，我们将(3)、(1)中的Coleman积分算法推广到超椭圆曲线的偶次模型。我们用在Sage中计算的数值例子来说明我们的方法。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Lms Journal of Computation and Mathematics MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

2.60

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： LMS Journal of Computation and Mathematics has ceased publication. Its final volume is Volume 20 (2017). LMS Journal of Computation and Mathematics is an electronic-only resource that comprises papers on the computational aspects of mathematics, mathematical aspects of computation, and papers in mathematics which benefit from having been published electronically. The journal is refereed to the same high standard as the established LMS journals, and carries a commitment from the LMS to keep it archived into the indefinite future. Access is free until further notice.