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Many Variations of Mahler Measures: A Lasting Symphony
 

Many Variations of Mahler Measures: A Lasting Symphony (Trade Paperback / Paperback)

By Brunault, Francois
By Zudilin, Wadim

  • RRP: $69.99
  • $69.99
  • Pub Date
    29 Sep 20

The Mahler measure is a fascinating notion and an exciting topic in contemporary mathematics, interconnecting with subjects as diverse as number theory, analysis, arithmetic geometry, special functions and random walks. This friendly and concise introduction to the Mahler measure... is a valuable resource for both graduate courses and self-study. It provides the reader with the necessary background material, before presenting the recent achievements and the remaining challenges in the field. The first part introduces the univariate Mahler measure and addresses Lehmer's question, and then discusses techniques of reducing multivariate measures to hypergeometric functions. The second part touches on the novelties of the subject, especially the relation with elliptic curves, modular forms and special values of L-functions. Finally, the Appendix presents the modern definition of motivic cohomology and regulator maps, as well as Deligne-Beilinson cohomology. The text includes many exercises to test comprehension and challenge readers of all abilities.
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ISBN 9781108794459
Released NZ 29 Sep 2020
Publisher Cambridge University Press
Format Trade Paperback/Paperback
Series Australian Mathematical Society Lecture Series
Availability
Available for pre-order, ships once released

Full details for this title

ISBN-13 9781108794459
Stock Release date is 29 September 2020
Status Available for pre-order, ships once released
Publisher Cambridge University Press
Imprint Cambridge University Press
Released 29 Sep 2020
Publication Country United Kingdom United Kingdom
Format Trade Paperback/Paperback
Author(s) By Brunault, Francois
By Zudilin, Wadim
Series Australian Mathematical Society Lecture Series
Category Number Theory
Number of Pages 180
Dimensions Not specified
Dewey Code Not specified
Weight Not specified - defaults to 600g
Interest Age General Audience
Reading Age General Audience
ONIX Text Professional and scholarly

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