On composite lacunary polynomials and the proof of a conjecture of Schinzel

DOI10.1007/s00222-008-0136-8zbMath1177.12004arXiv0705.0911OpenAlexW2010931795WikidataQ123014004 ScholiaQ123014004MaRDI QIDQ944252

Umberto Zannier

Publication date: 15 September 2008

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0705.0911

zbMATH Keywords

lacunary polynomialscomposition of polynomials

Mathematics Subject Classification ID

Polynomials in number theory (11C08) Polynomials in general fields (irreducibility, etc.) (12E05) Real and complex fields (12D99)

Related Items (12)

Perfect powers in polynomial power sums ⋮ On fewnomials, integral points, and a toric version of Bertini’s theorem ⋮ Decomposable polynomials in second order linear recurrence sequences ⋮ Diophantine equations in separated variables and lacunary polynomials ⋮ Counting Decomposable Univariate Polynomials ⋮ A polynomial variant of diophantine triples in linear recurrences ⋮ Diophantine equations in separated variables ⋮ Composite values of polynomial power sums ⋮ Composite rational functions having a bounded number of zeros and poles ⋮ Tame decompositions and collisions ⋮ ON THE GROWTH OF LINEAR RECURRENCES IN FUNCTION FIELDS ⋮ Intersections in subvarieties of ${\mathbb {G}}_{\mathrm {m}}^l$ and applications to lacunary polynomials

Cites Work

• Unnamed Item
• Unnamed Item
• On the number of terms of a composite polynomial
• Vanishing sums in function fields
• Some remarks on the S-unit equation in function fields
• On the number of terms of a power of a polynomial

This page was built for publication: On composite lacunary polynomials and the proof of a conjecture of Schinzel