Nicht aus der Schweiz? Besuchen Sie lehmanns.de
Für diesen Artikel ist leider kein Bild verfügbar.

Davenport-Zannier Polynomials and Dessins d'Enfants

Buch | Softcover
187 Seiten
2020
American Mathematical Society (Verlag)
978-1-4704-5634-4 (ISBN)
CHF 236,45 inkl. MwSt
The French expression "dessins d'enfants'' means children's drawings. This term was coined by the great French mathematician Alexandre Grothendieck in order to denominate a method of pictorial representation of some highly interesting classes of polynomials and rational functions. 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.

The major part of the book is quite elementary and is easily accessible to an undergraduate student. The less elementary parts, such as Galois theory or group representations and their characters, would need a more profound knowledge of mathematics. The reader may either take the basic facts of these theories for granted or use our book as a motivation and a first approach to these subjects.

Nikolai M. Adrianov, Lomonosov Moscow State University, Russia Fedor Pakovich, Ben Gurion University of the Negev, Be'er Sheva, Israel Alexander K. Zvonkin, University of Bordeaux, Talence, France

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.

Erscheinungsdatum
Reihe/Serie Mathematical Surveys and Monographs
Verlagsort Providence
Sprache englisch
Maße 178 x 254 mm
Gewicht 369 g
Themenwelt Mathematik / Informatik Mathematik Arithmetik / Zahlentheorie
Mathematik / Informatik Mathematik Graphentheorie
ISBN-10 1-4704-5634-6 / 1470456346
ISBN-13 978-1-4704-5634-4 / 9781470456344
Zustand Neuware
Haben Sie eine Frage zum Produkt?
Mehr entdecken
aus dem Bereich
Sieben ausgewählte Themenstellungen

von Hartmut Menzer; Ingo Althöfer

Buch | Softcover (2024)
De Gruyter Oldenbourg (Verlag)
CHF 89,95
unlock your imagination with the narrative of numbers

von Dave Kester; Mikaela Ashcroft

Buch | Softcover (2024)
Advantage Media Group (Verlag)
CHF 27,90
Seltsame Mathematik - Enigmatische Zahlen - Zahlenzauber

von Klaus Scharff

Buch | Softcover (2024)
BoD – Books on Demand (Verlag)
CHF 27,95