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Mathematics - Number Theory and Discrete Mathematics | Transcendental Numbers

Transcendental Numbers

Murty, M. Ram, Rath, Purusottam

2014, XIV, 217 p.

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  • ​​​Provides a clear and accessible introduction to theorems relating to transcendental numbers
  • Aimed at upper undergraduate and graduate students, as well as researchers seeking to familiarize themselves with the subject
  • Touches on the Schneider-Lang theorem, elliptic curve theory, Baker's theorem, and their applications

This book provides an introduction to the topic of transcendental numbers for upper-level undergraduate and graduate students. The text is constructed to support a full course on the subject, including descriptions of both relevant theorems and their applications. While the first part of the book focuses on introducing key concepts, the second part presents more complex material, including applications of Baker’s theorem, Schanuel’s conjecture, and Schneider’s theorem. These later chapters may be of interest to researchers interested in examining the relationship between transcendence and L-functions. Readers of this text should possess basic knowledge of complex analysis and elementary algebraic number theory.

Content Level » Graduate

Keywords » Baker's theorem - Dirichlet L-functions - Hermite-Lindemann theorem - Schneider-Lang theorem - elliptic functions - transcendental values

Related subjects » Algebra - Analysis - Number Theory and Discrete Mathematics

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