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Some Special Trigonometrical Series Related To the Distribution of Prime Numbers

✍ Scribed by Bateman, P. T.; Chowla, S.

Book ID
120098185
Publisher
Oxford University Press
Year
1963
Tongue
English
Weight
85 KB
Volume
s1-38
Category
Article
ISSN
0024-6107

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On the Convergence of Series of Reciproc
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✍ Michal KΕ™Δ±́ΕΎek; Florian Luca; Lawrence Somer πŸ“‚ Article πŸ“… 2002 πŸ› Elsevier Science 🌐 English βš– 158 KB

We examine densities of several sets connected with the Fermat numbers F m ΒΌ 2 2 m ΓΎ 1: In particular, we prove that the series of reciprocals of all prime divisors of Fermat numbers is convergent. We also show that the series of reciprocals of elite primes is convergent.