Davenport-Zannier Polynomials and Dessins D'Enfants
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A01=Alexander K. Zvonkin
A01=Fedor Pakovich
A01=Nikolai M. Adrianov
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Author_Alexander K. Zvonkin
Author_Fedor Pakovich
Author_Nikolai M. Adrianov
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Category=PBH
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COP=United States
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Language_English
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Product details
- ISBN 9781470456344
- Weight: 369g
- Dimensions: 178 x 254mm
- Publication Date: 30 Sep 2020
- Publisher: American Mathematical Society
- Publication City/Country: US
- Product Form: Paperback
- Language: English
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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.
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
Fedor Pakovich, Ben Gurion University of the Negev, Be'er Sheva, Israel
Alexander K. Zvonkin, University of Bordeaux, Talence, France
