Václav Šimerka: quadratic forms and factorization

Q1 Mathematics

Lms Journal of Computation and Mathematics Pub Date : 2013-01-01 DOI:10.1112/S1461157013000065

F. Lemmermeyer

引用次数: 1

Abstract

In this article we show that the Czech mathematician V´aclav ˇSimerka discovered the factorization of 19 (10 17 − 1) using a method based on the class group of binary quadratic forms more than 120 years before Shanks and Schnorr developed similar algorithms. ˇSimerka also gave the ﬁrst examples of what later became known as Carmichael numbers.

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Václav Šimerka:二次型和分解

在本文中，我们展示了捷克数学家V´aclav´Simerka使用基于二元二次型类群的方法发现了19(10 17−1)的因式分解，比Shanks和Schnorr开发出类似的算法早了120多年。西默卡还给出了后来被称为卡迈克尔数的第一个例子。

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.