Linear relations among Galois conjugates over \(\mathbb{F}_q(t)\)

DOI10.1007/s40993-022-00331-yOpenAlexW3137633235WikidataQ114218029 ScholiaQ114218029MaRDI QIDQ2145879

Will Hardt, John Yin

Publication date: 15 June 2022

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

Full work available at URL: https://arxiv.org/abs/2103.10612

zbMATH Keywords

function fieldsadditive relationsGalois conjugates

Mathematics Subject Classification ID

Arithmetic theory of algebraic function fields (11R58) Galois theory (11R32) Other combinatorial number theory (11B75) Arithmetic theory of polynomial rings over finite fields (11T55)

Uses Software

• MathOverflow

Cites Work

• Linear dependence of zeros of polynomials and construction of primitive elements
• Additive and multiplicative relations connecting conjugate algebraic numbers
• Additive Hilbert's theorem 90 in the ring of algebraic integers
• Polynomials with nontrivial relations between their roots
• Additive relations with conjugate algebraic numbers
• The conjugate dimension of algebraic numbers
• On linear relations between roots of unity
• Unnamed Item

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