Formulas for roots of \(L\)-functions of the Airy exponential sums

DOI10.1016/j.ffa.2017.09.004zbMath1374.11094OpenAlexW2756176803WikidataQ115575257 ScholiaQ115575257MaRDI QIDQ1679694

Hao Zhang

Publication date: 21 November 2017

Published in: Finite Fields and their Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ffa.2017.09.004

zbMATH Keywords

\(L\)-functionexponential sum

Mathematics Subject Classification ID

Other hypergeometric functions and integrals in several variables (33C70) Exponential sums (11T23) Zeta functions and (L)-functions (11S40)

Related Items

On the integrality of hypergeometric series whose coefficients are factorial ratios

Cites Work

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• \(p\)-adic cycles
• Gröbner deformations of hypergeometric differential equations
• Distinguished-root formulas for generalized Calabi-Yau hypersurfaces
• On the zeta function of a hypersurface. I
• Variations of \(p\)-adic Newton polygons for \(L\)-functions of exponential sums
• On the p-adic Theory of Exponential Sums
• p-Adic Gamma Functions and Dwork Cohomology

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