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- W2034210465 abstract "Let τ be a fixed positive number, ξ an irrational number with simple continued fraction expansion ξ = [ a 0 ; a 1 , …, a i , …]. In this paper we give a generalization of Segre's theorem: at least one of the four consecutive convergents p i q i of ξ ( i = n −1, n , n +1, n +2) satisfies −1 (√c n 2 +4τ q i 2 ) <ξ− p i q i < τ (√c n 2 +4τ q i 2 ) , where c n = a n +1 when n is odd, and c n = a n +2 when n is even." @default.
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- W2034210465 date "1988-01-01" @default.
- W2034210465 modified "2023-09-30" @default.
- W2034210465 title "Segre's theorem on asymmetric diophantine approximation" @default.
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- W2034210465 doi "https://doi.org/10.1016/0022-314x(88)90122-9" @default.
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