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Some Problems of "Partitio Numerorum" (VIII): The Number (k) in Waring's Problem

✍ Scribed by Hardy, G. H.; Littlewood, J. E.


Book ID
120103004
Publisher
Oxford University Press
Year
1928
Tongue
English
Weight
705 KB
Volume
s2-28
Category
Article
ISSN
0024-6115

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On the maximal order of numbers in the “
✍ Martin Klazar; Florian Luca 📂 Article 📅 2007 🏛 Elsevier Science 🌐 English ⚖ 208 KB

Let m(n) be the number of ordered factorizations of n 1 in factors larger than 1. We prove that for every ε > 0 holds for all integers n > n 0 , while, for a suitable constant c > 0, holds for infinitely many positive integers n, where ρ = 1.72864 . . . is the positive real solution to ζ(ρ) = 2. W