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On a variation of the Erdős–Selfridge superelliptic curve

open access: yesBulletin of the London Mathematical Society, 2019
Abstract In a recent paper by Das, Laishram and Saradha, it was shown that if there exists a rational solution of yl=(x+1)…(x+i−1)(x+i+1)…(x+k) for i not too close to k/2 and y≠0, then logl<3k. In this paper, we extend the number of terms that can be missing in the equation and remove the condition on i.
Sam Edis
exaly   +2 more sources
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