L-functions of certain exponential sums over finite fields. II

DOI10.1016/j.jnt.2022.03.006OpenAlexW3005205903WikidataQ113870307 ScholiaQ113870307MaRDI QIDQ2167496

Chao Chen, Xin Lin

Publication date: 25 August 2022

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2107.13357

zbMATH Keywords

exponential sumsNewton polygonLaurent polynomialsL-functiondecomposition theoryHodge polygonweight computation

Mathematics Subject Classification ID

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

Related Items (1)

On inverted Kloosterman sums over finite fields

Cites Work

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• Exponential sums and Newton polyhedra: cohomology and estimates
• Incomplete Kloosterman sums and a divisor problem. Appendix: On some exponential sums by Bryan J. Birch and Enrico Bombieri
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• L-functions of certain exponential sums over finite fields
• Newton polygons of zeta functions and \(L\) functions
• Bounded gaps between primes
• On the zeta function of a hypersurface. I
• Variations of \(p\)-adic Newton polygons for \(L\)-functions of exponential sums
• The divisor function $d_3(n)$ in arithmetic progressions
• On a certain class of exponential sums.

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