Common factors and torsion in positive characteristic

DOI10.5802/jtnb.766zbMath1279.11114OpenAlexW2353746229MaRDI QIDQ719155

Laurent Denis

Publication date: 10 October 2011

Published in: Journal de Théorie des Nombres de Bordeaux (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/219726

Mathematics Subject Classification ID

Arithmetic theory of algebraic function fields (11R58) Exponential Diophantine equations (11D61) Arithmetic theory of polynomial rings over finite fields (11T55)

Related Items (3)

On some extensions of the Ailon-Rudnick theorem ⋮ A variant of a theorem by Ailon-Rudnick for elliptic curves ⋮ Greatest common divisors and Vojta's conjecture for blowups of algebraic tori

Cites Work

• Unnamed Item
• An upper bound for the g.c.d. of \(a^n-1\) and \(b^n -1\)
• Common divisors of \(a^n-1\) and \(b^n-1\) over function fields
• Diophantine geometry of the torsion of a Drinfeld module
• ARTIN'S CONJECTURE FOR PRIMITIVE ROOTS
• Torsion points on curves and common divisors of a^k-1 and b^k-1

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