Gauss sums for function fields

DOI10.1016/S0022-314X(05)80040-XzbMath0716.11057OpenAlexW2161739127MaRDI QIDQ752761

Dinesh S. Thakur

Publication date: 1991

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

Full work available at URL: https://doi.org/10.1016/s0022-314x(05)80040-x

zbMATH Keywords

Gauss sumfunction fields of one variable over finite fieldsnon- polynomial class {\#}1 rings

Mathematics Subject Classification ID

Arithmetic theory of algebraic function fields (11R58) Finite ground fields in algebraic geometry (14G15) Other character sums and Gauss sums (11T24) Drinfel'd modules; higher-dimensional motives, etc. (11G09)

Related Items (8)

Special functions and Gauss-Thakur sums in higher rank and dimension ⋮ Twisting eigensystems of Drinfeld Hecke eigenforms by characters ⋮ Special functions and twisted L-series ⋮ Arithmetic of Gamma, Zeta and Multizeta Values for Function Fields ⋮ On root numbers connected with special values of \(L\)-functions over \(\mathbb{F}_ q(T)\) ⋮ Shtukas and Jacobi sums ⋮ Unnamed Item ⋮ An alternate approach to solitons for \(\mathbb F_q [t\)]

Cites Work

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• Gamma functions for function fields and Drinfeld modules
• The arithmetic of function fields. II: The 'cyclotomic' theory
• Gauss sums for \({\mathbb F}_ q[T\)]
• The Hilbert class field in function fields
• On geometric \({\mathbb{Z}}_ p\)-extensions of function fields
• The class number of cyclotomic function fields
• Good reduction of elliptic modules
• Algebraic function fields with small class number
• Explicit Class Field Theory for Rational Function Fields
• ELLIPTIC MODULES

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