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- W2023996968 abstract "We give all the integer solutions of the Diophantine equation Σj = 1s(1xj) + (1(x1 … xs)) = 1 (1 < x1 < … < xs) when s = 7 (23 solutions in all). We also prove that (1) if s ≥ 11, then Ω(s + 1) ≥ Ω(s) + 8 and if 2 ∤ s, s ≥ 11, then Ω(s + 1) ≥ Ω(s) + 9; (2) If s ≥ 12, then Z(s) ≥ 8, and if 2|s, s ≥ 12, then Z(s) ≥ 9; (3) If s ≥ 10, then A(s + 1) ≥ Ω(s) + Ω(s − 1) + 16, and if 2|s, s ≥ 12, then A(s + 1) ≥ Ω(s) + Ω(s − 1) + 18, where Ω(s), Z(s), and A(s) are defined in the paper." @default.
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- W2023996968 date "1987-10-01" @default.
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- W2023996968 title "On the equation Σj = 1s(1xj) + (1(x1 … xs)) = 1 and Znám's problem" @default.
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- W2023996968 doi "https://doi.org/10.1016/0022-314x(87)90062-x" @default.
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