Power savings for counting solutions to polynomial-factorial equations

<p>Let Pbe a polynomial with integer coefficients and degree at least two. We prove an upper bound on the number of integer solutions <em>n</em> &le; <em>N</em> to <em>n</em>! = <em>P</em>(<em>x</em>)which yields a power saving ov...

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Bibliographic Details
Main Authors: Bui, HM, Pratt, K, Zaharescu, A
Format: Journal article
Language:English
Published: Elsevier 2023