Metric theory of Weyl sums

<p>We prove that there exist positive constants C and c such that for any integer d&#x2A7E; 2 the set of x&#x2208; [0 , 1) d satisfying cN1/2&#x2A7D;|&#x2211;n=1Nexp(2&#x3C0;i(x1n+&#x2026;+xdnd))|&#x2A7D;CN1/2for infinitely many natural numbers N is of full Lebesque...

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Bibliographic Details
Main Authors: Chen, C, Kerr, B, Maynard, J, Shparlinski, IE
Format: Journal article
Language:English
Published: Springer 2022