Newton polygons for \(L\)-functions of generalized Kloosterman sums

DOI10.1515/forum-2021-0220OpenAlexW3216378920MaRDI QIDQ2121550

Chunlin Wang, Li-Ping Yang

Publication date: 4 April 2022

Published in: Forum Mathematicum (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2108.00676

zbMATH Keywords

Newton polygon\(L\)-function\(p\)-adic cohomologyslope

Mathematics Subject Classification ID

Exponential sums (11T23) Gauss and Kloosterman sums; generalizations (11L05) Zeta functions and (L)-functions (11S40) (p)-adic cohomology, crystalline cohomology (14F30)

Cites Work

• \(L\)-functions associated with families of toric exponential sums
• Exponential sums and Newton polyhedra: cohomology and estimates
• Completely continuous endomorphisms of \(p\)-adic Banach spaces
• Bessel functions as p-adic functions of the argument
• p-adic hypergeometric functions and their cohomology
• Newton polygons of zeta functions and \(L\) functions
• Regular decomposition of ordinarity in generic exponential sums
• On the zeta function of a hypersurface. I
• Variations of \(p\)-adic Newton polygons for \(L\)-functions of exponential sums
• On \(L\)-functions of certain exponential sums
• Symmetric power $L$-functions for families of generalized Kloosterman sums
• Newton polygons for a variant of the Kloosterman family
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