Locally analytic functions over completions of \(\mathbb F_r[U]\)

DOI10.1006/jnth.1998.2308zbMath1029.11065OpenAlexW2088043921MaRDI QIDQ1277196

Zifeng Yang

Publication date: 9 February 2004

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

Full work available at URL: https://doi.org/10.1006/jnth.1998.2308

zbMATH Keywords

function fieldcontinuous function\(p\)-valued \(L\)-series

Mathematics Subject Classification ID

Arithmetic theory of algebraic function fields (11R58) Other analytic theory (analogues of beta and gamma functions, (p)-adic integration, etc.) (11S80) Zeta functions and (L)-functions (11S40)

Related Items

On the characteristic \(p\) valued measure associated to Drinfeld discriminant ⋮ Applications of non-Archimedean integration to the \(L\)-series of \(\tau\)-sheaves ⋮ \(C^n\)-functions over completions of \(\mathbb F_r[T\) at finite places of \(\mathbb F_r(T)\)] ⋮ A note on zeta measures over function fields ⋮ On 𝑃-orderings, rings of integer-valued polynomials, and ultrametric analysis ⋮ Locally analytic functions in a local field of positive characteristic ⋮ A Riemann Hypothesis for characteristic \(p\) \(L\)-functions ⋮ The digit principle ⋮ Differential equations for \(\mathbb F_q\)-linear functions. II: Regular singularity.

Cites Work

• Completely continuous endomorphisms of \(p\)-adic Banach spaces
• Fourier series, measures and divided power series in the theory of function fields
• An Interpolation Series for Continuous Functions of a p-adic Variable.
• Interpolation series for continuous functions on π-adic completions of GF(q, x)
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