Finite monodromy of some families of exponential sums

DOI10.1016/j.jnt.2018.06.012zbMath1412.11087arXiv1711.01584OpenAlexW2963427035WikidataQ115570081 ScholiaQ115570081MaRDI QIDQ1634412

Antonio Rojas-León

Publication date: 18 December 2018

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

Full work available at URL: https://arxiv.org/abs/1711.01584

zbMATH Keywords

exponential sumsmonodromyalmost perfect nonlinear functions\(\ell\)-adic cohomology

Mathematics Subject Classification ID

Exponential sums (11T23) Gauss and Kloosterman sums; generalizations (11L05)

Related Items (4)

A rigid local system with monodromy group \(2.J_{2}\) ⋮ A rigid local system with monodromy group the big Conway group $2.\mathsf {Co}_1$ and two others with monodromy group the Suzuki group $6.{{Suz}}$ ⋮ Rigid local systems with monodromy group the Conway group Co2 ⋮ Rigid local systems with monodromy group the Conway group \(\mathsf{Co}_3\)

Cites Work

• \(G_2\) and hypergeometric sheaves
• On the monodromy groups attached to certain families of exponential sums
• La conjecture de Weil. II
• Monodromy of Airy and Kloosterman sheaves
• A few more functions that are not APN infinitely often
• On Almost Perfect Nonlinear Functions Over$mmb F_2^n$
• Gauss Sums, Kloosterman Sums, and Monodromy Groups. (AM-116)
• Exponential Sums and Differential Equations. (AM-124)
• Moments, Monodromy, and Perversity. (AM-159)
• Zeroes of Polynomials Over Finite Fields
• Unnamed Item

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