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- W2734675497 abstract "Let λ 1 , λ 2 , λ 3 , λ 4 , λ 5 be non-zero real numbers, not all negative. Let V be a well-spaced sequence, δ > 0 . If λ 1 / λ 2 is irrational and algebraic, then we prove that E ( V , X , δ ) ≪ X 17 / 18 + 2 δ + ε , where E ( V , X , δ ) denotes the number of v ∈ V with v ≤ X such that the inequality | λ 1 p 1 3 + λ 2 p 2 3 + λ 3 p 3 3 + λ 4 p 4 3 + λ 5 p 5 3 − v | < v − δ has no solution in primes p 1 , p 2 , p 3 , p 4 , p 5 . Further, we assume that except for one, all other the ratios λ k / λ l ( 1 ≤ k < l ≤ 5 ) are irrational and algebraic, then 17/18 can be replaced by 11/12. These improve the earlier results." @default.
- W2734675497 created "2017-07-21" @default.
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- W2734675497 date "2017-11-01" @default.
- W2734675497 modified "2023-10-17" @default.
- W2734675497 title "The values of cubic forms at prime arguments" @default.
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- W2734675497 doi "https://doi.org/10.1016/j.jnt.2017.05.014" @default.
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