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Prime Divisors of Thin Sequences

โœ Scribed by Christian Elsholtz


Book ID
115472632
Publisher
Mathematical Association of America
Year
2012
Tongue
English
Weight
215 KB
Volume
119
Category
Article
ISSN
0002-9890

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๐Ÿ“œ SIMILAR VOLUMES


Prime divisors in Beatty sequences
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We study the values of arithmetic functions taken on the elements of a non-homogeneous Beatty sequence ฮฑn + ฮฒ , n = 1, 2, . . . , where ฮฑ, ฮฒ โˆˆ R, and ฮฑ > 0 is irrational. For example, we show that where ฮฉ(k) and ฯ‰(k) denote the number of prime divisors of an integer k = 0 counted with and without m

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