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内容推荐 本书扩展阐述了Amitabha Tripath在2006年发表的研究成果,并得到了一组相对质数正整数所不能代表的最大整数。本书试图找到不能用相对素正整数表示的最大整数,这个整数传统上被称为弗罗贝尼乌斯数。对于k≥3,弗罗贝尼乌斯数没有闭形式的公式。本书表述逻辑性强,适合高等院校研究生及数学爱好者参考阅读。 目录 1 Introduction 1.1 The coin exchange problem of Frobenius 1.2 The Frobenius number is well defired 1.3 Amitabha Tripathi's results 1.4 Goal of this paper 2 The two-coin problem 2.1 Tie Frobenius number for two coifs 2.2 Sylvester's Theorem 2.3 More coins 3 More than one representation 3.1 s-representable integers 3.2 Beck-Robins, 20[3 3.3 Brown et al, 2010 3.4 Shailit-Stankewicz, 2010 3.5 Our contribution 3.6 s-representable integers under two coifs 4 Two propositions 5 The Main Theorem 5.1 Tripathi's Theorem 5.2 Extending Tripathi's Theorem 5.3 The Main Theorem Bibliography 编辑手记 |