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You searched IISERK - Subject: Air Pollution Prévision.
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Call Number
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512.75 ADR0
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Author
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Adrianov, Nikolai M., 1973- author.
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Title
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Davenport-Zannier polynomials and dessins d'enfants / Nikolai M. Adrianov, Fedor Pakovich, Alexander K. Zvonkin.
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Material Info.
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xi, 187 pages : illustrations ; 26 cm.
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Series
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Mathematical surveys and monographs, 0076-5376 ; volume 249
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Series
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Mathematical surveys and monographs ; no. 249. 0076-5376
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Summary Note
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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.
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Notes
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Includes bibliographical references (pages 179-183) and index.
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Notes
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Introduction -- Dessins d'enfants : from polynomials through Belyĭ functions to weighted trees -- Existence theorem -- Recapitulation and perspectives -- 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.
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ISBN
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9781470456344
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ISBN
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1470456346
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Subject
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Dessins d'enfants (Mathematics)
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Subject
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Arithmetical algebraic geometry.
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Subject
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Trees (Graph theory)
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Subject
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Galois theory.
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Subject
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Polynomials.
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Subject
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Algebraic fields.
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Added Entry
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Pakovich, Fedor, 1970- author.
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Added Entry
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Zvonkin, A. K. (Aleksandr Kalmanovich), 1948- author.
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Date
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Year, Month, Day:02101061
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Received Quantity |
Latest Order Modification Date |
Last Received Date |
| 306 |
121 |
The Librarian |
1 |
1 |
6-25-2018 15:50 |
1-5-2021 11:58 |
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