Anderson's root numbers and Thakur's Gauss sums

DOI10.1006/jnth.1997.2136zbMath0894.11043OpenAlexW2036724722MaRDI QIDQ1363100

Ke Qin Feng

Publication date: 17 August 1997

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

Full work available at URL: https://doi.org/10.1006/jnth.1997.2136

zbMATH Keywords

cyclotomic function fieldTeichmüller character\(L\)-seriesAnderson's root numbersGoss \(L\)-functionThakur's Gauss sumsvanishing and nonvanishing of root numbers

Mathematics Subject Classification ID

Arithmetic theory of algebraic function fields (11R58) Other character sums and Gauss sums (11T24) Drinfel'd modules; higher-dimensional motives, etc. (11G09)

Related Items

Algebraic independence of values of Goss \(L\)-functions at \(s=1\), Arithmetic of Gamma, Zeta and Multizeta Values for Function Fields

Cites Work

• Gauss sums for \({\mathbb F}_ q[T\)]
• Log-algebraicity of twisted \(A\)-harmonic series and special values of \(L\)-series in characteristic \(p\)
• Carlitz Modules and Normal Integral Bases