计算傅立叶--戴德金和的多项式时间算法

IF 0.7 4区 数学 Q2 MATHEMATICS
Guoce Xin, Xinyu Xu
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引用次数: 0

摘要

我们解决了马蒂亚斯-贝克(Matthias Beck)和西奈-罗宾斯(Sinai Robins)在《连续离散计算》一书中提出的一个开放性问题。也就是说,我们提供了一种实用的多项式时间算法,用于计算...
本文章由计算机程序翻译,如有差异,请以英文原文为准。
A Polynomial Time Algorithm for Calculating Fourier-Dedekind Sums
We solve an open problem proposed in the book “Computing the continuous discretely” written by Matthias Beck and Sinai Robins. That is, we provide a practical polynomial time algorithm for calculat...
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来源期刊
Experimental Mathematics
Experimental Mathematics 数学-数学
CiteScore
1.70
自引率
0.00%
发文量
23
审稿时长
>12 weeks
期刊介绍: Experimental Mathematics publishes original papers featuring formal results inspired by experimentation, conjectures suggested by experiments, and data supporting significant hypotheses. Experiment has always been, and increasingly is, an important method of mathematical discovery. (Gauss declared that his way of arriving at mathematical truths was "through systematic experimentation.") Yet this tends to be concealed by the tradition of presenting only elegant, fully developed, and rigorous results. Experimental Mathematics was founded in the belief that theory and experiment feed on each other, and that the mathematical community stands to benefit from a more complete exposure to the experimental process. The early sharing of insights increases the possibility that they will lead to theorems: An interesting conjecture is often formulated by a researcher who lacks the techniques to formalize a proof, while those who have the techniques at their fingertips have been looking elsewhere. Even when the person who had the initial insight goes on to find a proof, a discussion of the heuristic process can be of help, or at least of interest, to other researchers. There is value not only in the discovery itself, but also in the road that leads to it.
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