Description

Book Synopsis
The polynomials studied in this book take their origin in number theory. The authors show how, by drawing simple pictures, one can prove some long-standing conjectures and formulate new ones. The theory presented here touches upon many different fields of mathematics.

Table of Contents
  • Introduction.
  • Dessins d'enfants: From polynomials through Belyi functions to weighted trees.
  • Existence theorem.
  • Recapitulation and perspective.
  • Classification of unitrees.
  • Computation of Davenport-Zannier pairs for unitrees.
  • Primitive monodromy groups of weighted trees.
  • Trees with primitive monodromy groups.
  • A zoo of examples and constructions.
  • Diophantine invariants.
  • Enumeration.
  • What remains to be done.
  • Bibliography.
  • Index.

DavenportZannier Polynomials and Dessins dEnfants

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A Paperback / softback by Nikolai M. Adrianov, Fedor Pakovich, Alexander K. Zvonkin

3 in stock


    View other formats and editions of DavenportZannier Polynomials and Dessins dEnfants by Nikolai M. Adrianov

    Publisher: American Mathematical Society
    Publication Date: 30/09/2020
    ISBN13: 9781470456344, 978-1470456344
    ISBN10: 1470456346
    Also in:
    Combinatorics and graph theory Number theory

    Description

    Book Synopsis
    The polynomials studied in this book take their origin in number theory. The authors show how, by drawing simple pictures, one can prove some long-standing conjectures and formulate new ones. The theory presented here touches upon many different fields of mathematics.

    Table of Contents
    • Introduction.
    • Dessins d'enfants: From polynomials through Belyi functions to weighted trees.
    • Existence theorem.
    • Recapitulation and perspective.
    • Classification of unitrees.
    • Computation of Davenport-Zannier pairs for unitrees.
    • Primitive monodromy groups of weighted trees.
    • Trees with primitive monodromy groups.
    • A zoo of examples and constructions.
    • Diophantine invariants.
    • Enumeration.
    • What remains to be done.
    • Bibliography.
    • Index.

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