Diophantine avoidance and small-height primitive elements in ideals of number fields

DOI10.2140/CNT.2024.13.333MaRDI QIDQ6652717

Sehun Jeong, Lenny Fukshansky

Publication date: 13 December 2024

Published in: Combinatorics and Number Theory (Search for Journal in Brave)

zbMATH Keywords

latticeidealnumber fieldprimitive elementsmall height

Mathematics Subject Classification ID

Quadratic extensions (11R11) Lattices and convex bodies (number-theoretic aspects) (11H06) Heights (11G50) Algebraic numbers; rings of algebraic integers (11R04)

Cites Work

• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)
• Restricted successive minima
• Algebraic points of small height missing a union of varieties
• Diophantine approximation on abelian varieties
• Upper bounds for Euclidean minima of algebraic number fields
• Adelic geometry of numbers and generalized Siegel lemmas
• Small generators of number fields
• Positive semigroups in lattices and totally real number fields
• Integral points of small height outside of a hypersurface
• Siegel's Lemma with additional conditions
• Bertini and Northcott
• Siegel lemmas of avoidment
• On Some Inequalities for Polynomials in Several Variables
• On the smallest solution to the general binary quadratic diophantine equation
• Combinatorial Nullstellensatz
• On the height of solutions to norm form equations
• Independent relative units of low height
• A note on generators of number fields
• Mahler measures of polynomials that are sums of a bounded number of monomials

This page was built for publication: Diophantine avoidance and small-height primitive elements in ideals of number fields

Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6652717)