Davenport–Zannier polynomials over ℚ

DOI10.1142/S1793042118500562zbMath1440.11112MaRDI QIDQ4639958

Alexander K. Zvonkin, Fedor Pakovitch

Publication date: 15 May 2018

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

zbMATH Keywords

dessins d'enfantsweighted treesDavenport-Zannier polynomials

Mathematics Subject Classification ID

Planar graphs; geometric and topological aspects of graph theory (05C10) Diophantine inequalities (11D75) Diophantine inequalities (11J25) Special polynomials in general fields (12E10) Arithmetic aspects of dessins d'enfants, Bely? theory (11G32)

Related Items (1)

On rational functions whose normalization has genus zero or one

Cites Work

• Minimum degree of the difference of two polynomials over~\({\mathbb Q}\), and weighted plane trees
• On the generalized Chebyshev polynomials corresponding to plane trees of diameter 4
• Cycles comme produit de deux permutations de classes données
• Graphs on surfaces and their applications. Appendix by Don B. Zagier
• Neighboring powers
• Dessins d'Enfants on Riemann Surfaces
• On Hall's conjecture
• Old and new conjectured diophantine inequalities
• Realizability of Branched Coverings of Surfaces
• POLYNOMIAL IDENTITIES AND HAUPTMODULN
• On Davenport's bound for the degree of f³ - g² and Riemann's Existence Theorem
• On computing Belyi maps
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