Stabilized values of the generalized Goss zeta function

DOI10.1006/jnth.1999.2431zbMath1029.11048OpenAlexW2008433020MaRDI QIDQ1969348

Farrell Brumley

Publication date: 18 December 2003

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

Full work available at URL: https://doi.org/10.1006/jnth.1999.2431

zbMATH Keywords

stabilizationgeneralized Goss zeta-function

Mathematics Subject Classification ID

Arithmetic theory of polynomial rings over finite fields (11T55) Zeta and (L)-functions in characteristic (p) (11M38)

Cites Work

• Zeta measure associated to \({\mathbb{F}}_ q[T\)]
• An addendum to ``\(v\)-adic zeta functions, \(L\)-series, and measures for function fields
• The Riemann Hypothesis for the Goss zeta function for \(\mathbb{F}_q[T\)]
• A higher-dimensional generalization of the Goss zeta function
• Finite sums and interpolation formulas over \(\mathrm{GF}[p^n,x\)]
• Power sums of polynomials in a Galois field