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- W756431369 abstract "(2) f(x+ jd1) 6= 0 for 0 ≤ j ≤ lk − 1. We refer to [3] and [4] for an account of results on equation (1) with f(X) = X. It was shown in [3] that for positive integers x, y and k ≥ 2, equation (1) with f(X) = X implies that max(x, y, k) ≤ C1 where C1 is an effectively computable number depending only on d1, d2,m unless (3) l = 1, m = k = 2, d1 = 2d2, x = y 2 + 3d2y. When f is a power of an irreducible polynomial, it was shown in [1] that equation (1) with l = d1 = d2 = 1 and (2) implies that max(|x|, |y|, k) ≤ C2 where C2 is an effectively computable number depending only on m and f . In this paper, we extend these results as follows." @default.
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- W756431369 date "1995-01-01" @default.
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- W756431369 title "On values of a polynomial at arithmetic progressions with equal products" @default.
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- W756431369 doi "https://doi.org/10.4064/aa-72-1-67-76" @default.
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