Many Variations of Mahler Measures : A Lasting Symphony Paperback / softback
by Francois (Ecole Normale Superieure, Lyon) Brunault, Wadim (Radboud Universiteit Nijmegen) Zudilin
Part of the Australian Mathematical Society Lecture Series series
Paperback / softback
Description
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.
Information
-
Out of stock
- Format:Paperback / softback
- Pages:180 pages, Worked examples or Exercises; 1 Halftones, black and white; 6 Line drawings, black and wh
- Publisher:Cambridge University Press
- Publication Date:14/05/2020
- Category:
- ISBN:9781108794459
Information
-
Out of stock
- Format:Paperback / softback
- Pages:180 pages, Worked examples or Exercises; 1 Halftones, black and white; 6 Line drawings, black and wh
- Publisher:Cambridge University Press
- Publication Date:14/05/2020
- Category:
- ISBN:9781108794459
