On root numbers connected with special values of \(L\)-functions over \(\mathbb{F}_ q(T)\)

DOI10.1006/JNTH.1997.2056zbMath0874.11043OpenAlexW2043779373MaRDI QIDQ676218

Jianqiang Zhao

Publication date: 11 November 1997

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

Full work available at URL: https://doi.org/10.1006/jnth.1997.2056

zbMATH Keywords

special values of \(L\)-functionsroot numbersGauss sums for function fields

Mathematics Subject Classification ID

Exponential sums (11T23) Other character sums and Gauss sums (11T24) Drinfel'd modules; higher-dimensional motives, etc. (11G09)

Related Items (1)

Algebraic independence of values of Goss \(L\)-functions at \(s=1\)

Cites Work

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• Gauss sums for function fields
• On a new type of \(L\)-function for algebraic curves over finite fields
• Gauss sums for \({\mathbb F}_ q[T\)]
• Fourier series, measures and divided power series in the theory of function fields
• Certain quantities transcendental over \(\text{GF}(p^n,x)\)
• Explicit Class Field Theory for Rational Function Fields

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