François Brunault, Wadim Zudilin

Many Variations of Mahler Measures

A Lasting Symphony

• Broschiertes Buch

Produktbeschreibung

A friendly and concise introduction to the Mahler measure - a fascinating subject in contemporary mathematics.

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Produktdetails

• Verlag: Cambridge University Press
• Seitenzahl: 180
• Erscheinungstermin: 18. Juni 2020
• Englisch
• Abmessung: 225mm x 155mm x 11mm
• Gewicht: 272g
• ISBN-13: 9781108794459
• ISBN-10: 1108794459
• Artikelnr.: 59082693

Autorenporträt

François Brunault is Associate Professor at École Normale Supérieure, Lyon in France, and is a member of the Mathematical Society of France. He is an arithmetic geometer with interest in elliptic curves, modular forms and L-functions, both from a theoretical and explicit point of view.

Inhaltsangabe

1. Some basics
2. Lehmer's problem
3. Multivariate setting
4. The dilogarithm
5. Differential equations for families of Mahler measures
6. Random walk
7. The regulator map for $K_2$ of curves
8. Deninger's method for multivariate polynomials
9. The Rogers-Zudilin method
10. Modular regulators
Appendix. Motivic cohomology and regulator maps
References
Author Index
Subject index.