eBook - PDF

Many Variations of Mahler Measures

Name: Many Variations of Mahler Measures
ISBN: 9781108889193

A Lasting Symphony

François Brunault,

Wadim Zudilin,

English
PDF
Available on iOS & Android

eBook - PDF

Many Variations of Mahler Measures

A Lasting Symphony

François Brunault,

Wadim Zudilin,

About this book

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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Yes, you can access Many Variations of Mahler Measures by François Brunault,Wadim Zudilin in PDF and/or ePUB format, as well as other popular books in Mathematics & Number Theory. We have over one million books available in our catalogue for you to explore.