Solving norm equations in global function fields

DOI10.1007/s40993-024-00606-6MaRDI QIDQ6660938

Sumin Leem, Michael Jacobson, Renate Scheidler

Publication date: 10 January 2025

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

zbMATH Keywords

global function fieldS-unitindex calculusnorm equation

Mathematics Subject Classification ID

Arithmetic theory of algebraic function fields (11R58) Number-theoretic algorithms; complexity (11Y16) Curves over finite and local fields (11G20) Algebraic number theory computations (11Y40) Multiplicative and norm form equations (11D57)

Cites Work

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• Factoring polynomials with rational coefficients
• The Magma algebra system. I: The user language
• Decision problems in quadratic function fields of high genus
• Genus computation of global function fields
• Diophantine equations over global function fields. IV: S-unit equations in several variables with an application to norm form equations
• Fast, deterministic computation of the Hermite normal form and determinant of a polynomial matrix
• Modern Computer Algebra
• Improved Methods for Calculating Vectors of Short Length in a Lattice, Including a Complexity Analysis
• On solving norm equations in global function fields
• Algebraic Function Fields and Codes
• Solving norm equations in relative number fields using $S$-units
• Deterministic Reduction of Integer Nonsingular Linear System Solving to Matrix Multiplication
• Inequalities for ideal bases in algebraic number fields
• On solving relative norm equations in algebraic number fields

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