Diversity in Parametric Families of Number Fields

DOI10.1007/978-3-319-55357-3_7zbMath1414.11150arXiv1607.00904OpenAlexW2461972049MaRDI QIDQ4581323

Yuri F. Bilu, Florian Luca

Publication date: 17 August 2018

Published in: Number Theory – Diophantine Problems, Uniform Distribution and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1607.00904

Mathematics Subject Classification ID

Galois theory (11R32) Arithmetic ground fields for curves (14H25) Other number fields (11R21)

Related Items (5)

Diversity in rationally parameterized number fields ⋮ Counting number fields in fibers (with an appendix by Jean Gillibert) ⋮ A Geometric Approach to Large Class Groups: A Survey ⋮ The $abc$ Conjecture implies the Weak Diversity Conjecture ⋮ Galois covers of ℙ1 and number fields with large class groups

Cites Work

• On the number of times a root of \(f(n,x)=0\) generates a field containing a given number field
• On the number of integral points on algebraic curves
• Fields containing values of algebraic functions II (On a conjecture of Schinzel)
• Polynomials of certain special types
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