ABEL ARITHMETIC FUNCTIONS IN FINITE CHARACTERISTIC

DOI10.1142/S1793042112500959zbMath1286.11195OpenAlexW2058700732MaRDI QIDQ2909604

David Adam

Publication date: 6 September 2012

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

Full work available at URL: https://doi.org/10.1142/s1793042112500959

zbMATH Keywords

Carlitz moduleAbel arithmetic functions

Mathematics Subject Classification ID

Arithmetic theory of algebraic function fields (11R58) Arithmetic theory of polynomial rings over finite fields (11T55)

Cites Work

• Integer valued functions and Carlitz module
• Sur le théorème de Fukasawa-Gel'fond
• On entire arithmetic functions in Abel's sense
• Pólya's theorem of \(\mathbb{F}_ q[T\)]
• Polynômes à valeurs entières ainsi que leurs dérivées en caractéristique p
• Théorème de Pólya en caractéristique finie
• Car–Pólya and Gel'fond's theorems for F_q[T]

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