Unit roots of the unit root \(L\)-functions of Kloosterman family

DOI10.1016/j.ffa.2023.102293arXiv2302.06328OpenAlexW4386365712MaRDI QIDQ6063246

Li-Ping Yang, Hao Zhang

Publication date: 7 November 2023

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

Full work available at URL: https://arxiv.org/abs/2302.06328

zbMATH Keywords

\(L\)-functionKloosterman sumunit root

Mathematics Subject Classification ID

Exponential sums (11T23) Zeta functions and (L)-functions (11S40)

Cites Work

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• \(L\)-functions associated with families of toric exponential sums
• Meromorphy of the rank one unit root \(L\)-function revisited
• On unit root formulas for toric exponential sums
• \(p\)-adic variation of unit root \(L\)-functions
• Exponential sums and Newton polyhedra: cohomology and estimates
• Bessel functions as p-adic functions of the argument
• p-adic hypergeometric functions and their cohomology
• Meromorphic continuation of \(L\)-functions of \(p\)-adic representations
• Dwork's conjecture on unit root zeta functions
• \(L\)-functions of symmetric powers of Kloosterman sums (unit root \(L\)-functions and \(p\)-adic estimates)
• Trivial factors for \(L\)-functions of symmetric products of Kloosterman sheaves
• Symmetric power $L$-functions for families of generalized Kloosterman sums
• Symmetric powers of the p-adic Bessel equation.

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