Diversity in rationally parameterized number fields

DOI10.1142/s1793042123501154OpenAlexW4380077270MaRDI QIDQ6086894

Benjamin Klahn

Publication date: 11 December 2023

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

Full work available at URL: https://doi.org/10.1142/s1793042123501154

zbMATH Keywords

Galois theoryalgebraic curvesDiophantine equationsfield arithmetic

Mathematics Subject Classification ID

Polynomials in number theory (11C08) [https://portal.mardi4nfdi.de/w/index.php?title=+Special%3ASearch&search=%22Curves+of+arbitrary+genus+or+genus+%28%0D%0Ae+1%29+over+global+fields%22&go=Go Curves of arbitrary genus or genus ( e 1) over global fields (11G30)] Polynomials (irreducibility, etc.) (11R09)

Cites Work

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• Number fields in fibers: the geometrically abelian case with rational critical values
• Counting number fields in fibers (with an appendix by Jean Gillibert)
• The number of integral points on arcs and ovals
• POWER-FREE VALUES OF BINARY FORMS
• On the number of integral points on algebraic curves
• Diversity in Parametric Families of Number Fields
• Fields containing values of algebraic functions II (On a conjecture of Schinzel)
• A lower bound on the LCM of polynomial sequences
• DENSITY OF POWER‐FREE VALUES OF POLYNOMIALS
• Polynomials of certain special types

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