Equidistribution of high traces of random matrices over finite fields and cancellation in character sums of high conductor

<p>Let&nbsp;g&nbsp;be a random matrix distributed according to uniform probability measure on the finite general linear group&nbsp;GLn⁢(Fq). We show that&nbsp;Tr⁡(gk)&nbsp;equidistributes on&nbsp;Fq&nbsp;as&nbsp;n&rarr;&infin;&nbsp;as long as&nbs...

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Bibliographic Details
Main Authors: Gorodetsky, O, Kovaleva, V
Format: Journal article
Language:English
Published: Wiley 2024