L-functions of certain exponential sums over finite fields II

DOI10.1016/J.JNT.2022.03.006arXiv2107.13357WikidataQ113870307 ScholiaQ113870307MaRDI QIDQ6373941

Publication date: 28 July 2021

Abstract: In this paper, we compute the

q

-adic slopes of the L-functions of an important class of exponential sums arising from analytic number theory. Our main tools include Adolphson-Sperber's work on toric exponential sums and Wan's decomposition theorems.

Mathematics Subject Classification ID

Estimates on exponential sums (11L07) Exponential sums (11T23) Zeta functions and (L)-functions (11S40)

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