镜头空间，形式上的等谱，而不是函数上的等谱

Q1 Mathematics

Lms Journal of Computation and Mathematics Pub Date : 2019-06-18 DOI:10.1112/S1461157000001273

Ruth Gornet, J. McGowan

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引用次数: 17

摘要

本文旨在纠正作者在LMS J.Comput上发表的论文“透镜空间，形式上的等光谱，而不是函数上的等谱”中对复合$q$情况的错误。数学。｝9（2006），270-286。引用｛GM｝中关于素数$q$的所有计算和示例仍然有效，我们在下面包括了证明这一点的详细计算。我们最初的错误是得出结论，公式（3.11）\cite[p.399]｛Ikeda｝对所有$q$都是真的，而事实上只有当$q$是素数时它才有效。这意味着，当$q$是复合的时，必须重新设计｛GM｝中的公式（3）和（4），以考虑复杂性。

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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Lens Spaces, Isospectral on Forms but not on Functions

This paper means to correct an error by the authors for the composite $q$ case in the paper "Lens Spaces, Isospectral on Forms but not on Functions", published in LMS J. Comput. Math.} 9 (2006), 270-286. All calculations and examples presented in \cite{GM} for prime $q$ remain valid, and we include detailed calculations below justifying this. Our original mistake was to conclude that Formula (3.11) \cite[p. 399]{Ikeda} remained true for all $q$ when in fact it is only valid if $q$ is prime. This means formulas (3) and (4) in \cite{GM} must be reworked to account for complications when $q$ is composite.

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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.