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Multiple recurrence and convergence for sequences related to the prime numbers

✍ Scribed by Frantzikinakis, Nikos; Host, Bernard; Kra, Bryna

Book ID
118740411
Publisher
Walter de Gruyter GmbH & Co. KG
Year
2007
Tongue
English
Weight
154 KB
Volume
2007
Category
Article
ISSN
0075-4102

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πŸ“œ SIMILAR VOLUMES

On the Convergence of Series of Reciproc
On the Convergence of Series of Reciprocals of Primes Related to the Fermat Numbers
✍ 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.