On a Fermat equation arising in the arithmetic theory of functions fields

DOI10.1007/BF01455448zbMath0494.12008MaRDI QIDQ1169005

David Goss

Publication date: 1982

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/182880

zbMATH Keywords

Fermat's last theoremcyclotomic fieldsBernoulli polynomialsStickelberger elementsKummer criterionDrinfeld-moduleFermat- equationstructure of group of units

Mathematics Subject Classification ID

Arithmetic theory of algebraic function fields (11R58) Higher degree equations; Fermat's equation (11D41) Formal groups, (p)-divisible groups (14L05) Cyclotomy (11T22)

Related Items (4)

Diophantine problems over \(t\)-modules ⋮ A note on Carlitz Wieferich primes ⋮ On zeros of characteristic \(p\) zeta function ⋮ Class-groups of function fields

Cites Work

• The arithmetic of function fields. II: The 'cyclotomic' theory
• The class number of cyclotomic function fields
• Analytic class number formulas in function fields
• Von Staudt for \(\mathbb F_q[T\)]
• Modular forms for Fr [T.]
• The algebraist’s upper half-plane
• Explicit Class Field Theory for Rational Function Fields
• ELLIPTIC MODULES
• ELLIPTIC MODULES. II

This page was built for publication: On a Fermat equation arising in the arithmetic theory of functions fields