Arithmetic equivalence for non-geometric extensions of global function fields

DOI10.1016/j.jnt.2022.07.003OpenAlexW3178500883WikidataQ114156434 ScholiaQ114156434MaRDI QIDQ2109411

Francesco Battistoni, Hassan Oukhaba

Publication date: 21 December 2022

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

Full work available at URL: https://arxiv.org/abs/2107.01911

zbMATH Keywords

inverse Galois problemglobal function fieldsarithmetic equivalence

Mathematics Subject Classification ID

Arithmetic theory of algebraic function fields (11R58) Inverse Galois theory (12F12) Zeta and (L)-functions in characteristic (p) (11M38)

Uses Software

• Magma

Cites Work

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• On adele rings of arithmetically equivalent fields
• Algebraic Function Fields and Codes
• The transitive groups of degree up to eleven⁺
• Adele rings of global field of positive characteristc
• Zeta functions do not determine class numbers
• A Database for Field Extensions of the Rationals

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