Pick's Theorem via Minkowski's Theorem

Pick's Theorem via Minkowski's Theorem
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皮克定理通过闵可夫斯基定理

DOI:
10.1080/00029890.2007.11920465
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发表时间:
2007
期刊:
The American mathematical monthly
影响因子:
--
通讯作者:
Nithum Thain
Nithum Thain
中科院分区:
--
文献类型:
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作者:
M. Ram Murty;Nithum Thain

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致谢这篇笔记的灵感来自布莱恩·戴维斯,他在牛津大学挑战尼克·特雷费森,指出积分(7)的评估将在分析和数值上造成严重的困难。作者之一(T.S.)我有幸参加了Trefethen在牛津大学的课程,在那里,像戴维斯这样的问题必须每周解决一次。与Christoph Ortner讨论积分也很有帮助。T.S.是由罗兹奖学金资助的E 62 + ikn +x)2
ACKNOWLEDGMENTS This note was inspired by Brian Davies, who challenged Nick Trefethen at Oxford by pointing out that the evaluation of the integral (7) would cause serious difficulties both analytically and numerically. One of the authors (T.S.) had the pleasure of attending Trefethen's course in Oxford, where problems like Davies's had to be solved on a weekly basis. Discussing the integral with Christoph Ortner was helpful, too. T.S. is supported by a Rhodes Scholarship. E 62 + ikn +x)2