Fonctions entières totales en caractéristique finie

DOI10.24033/bsmf.2681zbMath1376.11077OpenAlexW4302780027MaRDI QIDQ5244574

Michael Welter, David Adam

Publication date: 27 March 2015

Published in: Bulletin de la Société mathématique de France (Search for Journal in Brave)

Full work available at URL: http://smf4.emath.fr/en/Publications/Bulletin/143/html/smf_bull_143_109-124.php

zbMATH Keywords

Hasse derivativesinteger-valued entire functionsSiegel lemmaSchnirelman integral

Mathematics Subject Classification ID

Arithmetic theory of algebraic function fields (11R58) Polynomials over finite fields (11T06) Entire functions of one complex variable (general theory) (30D20) Non-Archimedean function theory (30G06)

Cites Work

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• Integer valued functions and Carlitz module
• Transcendence theory over function fields
• Pólya's theorem of \(\mathbb{F}_ q[T\)]
• Erratum: On entire functions whose derivatives are integer-valued on geometric progressions
• On entire functions whose derivatives are integer-valued on geometric progressions
• The Gel'fond-Fridman theorem in positive characteristic
• Remarks on the Carlitz \(\psi\)-functions
• Polynômes à valeurs entières ainsi que leurs dérivées en caractéristique p
• Waring's Problem in Function Fields
• Théorème de Pólya en caractéristique finie
• Car–Pólya and Gel'fond's theorems for F_q[T]
• A new class of integer-valued entire functions
• Transcendental Numbers in the P-Adic Domain

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