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@integers_blog @kiguro_masanao Melvyn B. Nathanson, Additive Number Theory, The Classical Bases, GTM 164 https://t.co/EwI6uu4okl の第1章に、Minkowskiの定理のかわりに3変数2次形式の簡約を利用した証明があります。Dirichletの算術級数定理はどちらにしても必要になるようです。
Additive Number Theory : The Classical Bases
Overview of attention for book
Table of Contents
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Altmetric BadgeBook Overview
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Altmetric BadgeChapter 1 Sums of polygons
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Altmetric BadgeChapter 2 Waring’s problem for cubes
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Altmetric BadgeChapter 3 The Hilbert-Waring theorem
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Altmetric BadgeChapter 4 Weyl’s inequality
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Altmetric BadgeChapter 5 The Hardy—Littlewood asymptotic formula
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Altmetric BadgeChapter 6 Elementary estimates for primes
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Altmetric BadgeChapter 7 The Shnirel’man-Goldbach theorem
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Altmetric BadgeChapter 8 Sums of three primes
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Altmetric BadgeChapter 9 The linear sieve
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Altmetric BadgeChapter 10 Chen’s theorem