
BOOKS - Analytic number theory

Analytic number theory
Author: Evertse J.-H.
Year: 2014
Format: PDF
File size: PDF 1.9 MB
Language: English

Year: 2014
Format: PDF
File size: PDF 1.9 MB
Language: English

The book explores the connections between number theory and other areas of mathematics, such as algebraic geometry and combinatorics, and provides insights into the structure and properties of integers and their applications in computer science and cryptography. The book begins by introducing the basic concepts and tools of analytic number theory, including the Riemann zeta function, Dirichlet L-functions, and Hecke's theorem. It then delves into more advanced topics such as the distribution of prime numbers, the arithmetic of elliptic curves, and the modularity theorem. Throughout the book, the author emphasizes the importance of understanding the process of technology evolution and the need to develop a personal paradigm for perceiving the technological process of developing modern knowledge as the basis for the survival of humanity and the survival of the unification of people in a warring state. The author argues that the study of analytic number theory can provide valuable insights into the nature of numbers and their role in shaping our understanding of the world. He also highlights the potential of this field to solve real-world problems and improve our lives. The book is written at a level accessible to graduate students and researchers in mathematics, computer science, and engineering, but it also includes examples and exercises to make it accessible to a wider audience.
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