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Minimal asymptotic bases for the natural numbers

✍ Scribed by Paul Erdös; Melvyn B Nathanson


Publisher
Elsevier Science
Year
1980
Tongue
English
Weight
337 KB
Volume
12
Category
Article
ISSN
0022-314X

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An asymptotic theory for recurrence rela
✍ Hsien-Kuei Hwang; Tsung-Hsi Tsai 📂 Article 📅 2003 🏛 Elsevier Science 🌐 English ⚖ 242 KB

We derive asymptotic approximations for the sequence f(n) deÿned recursively by f(n) = min16j¡n {f(j) + f(n -j)} + g(n), when the asymptotic behavior of g(n) is known. Our tools are general enough and applicable to another sequence F(n) = max16j¡n {F(j) + F(n -j) + min{g(j); g(n -j)}}, also frequent