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- W1969485628 abstract "We study the values of arithmetic functions taken on the elements of a non-homogeneous Beatty sequence ⌊αn+β⌋, n=1,2,…, where α,β∈R, and α>0 is irrational. For example, we show that∑n⩽Nω(⌊αn+β⌋)∼NloglogNand∑n⩽N(−1)Ω(⌊αn+β⌋)=o(N), where Ω(k) and ω(k) denote the number of prime divisors of an integer k≠0 counted with and without multiplicities, respectively." @default.
- W1969485628 created "2016-06-24" @default.
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- W1969485628 date "2007-04-01" @default.
- W1969485628 modified "2023-10-01" @default.
- W1969485628 title "Prime divisors in Beatty sequences" @default.
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- W1969485628 doi "https://doi.org/10.1016/j.jnt.2006.07.011" @default.
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