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Number theory W.C. Winnie Li. with applications /

By: Material type: TextTextSeries: Series on university mathematics ; v 7Publication details: Singapore ; World Scientific, c1996.Description: x, 229 p. ; 24 cmISBN:
  • 9789810222260
Subject(s): DDC classification:
  • 512.7 23 L693
Contents:
Ch. 1. Finite Fields -- Ch. 2. Weil Conjectures -- Ch. 3. Local and Global Fields -- Ch. 4. The Riemann-Roch Theorem -- Ch. 5. Zeta and L-functions -- Ch. 6. Character Sum Estimates and Idele Class Characters -- Ch. 7. The Theory of Modular Forms -- Ch. 8. Automorphic Forms and Automorphic Representations -- Ch. 9. Applications-- Index.
Summary: The purpose of this book is to give from scratch, a coherent and comprehensive introduction to the topics in number theory related to the central tools, with the ultimate goal of presenting their applications. This book includes many important subjects in number theory. These include Weil conjectures, Riemann-Roch theorem, L-functions, character sum estimates, modular forms, and representation theory.
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Includes bibliographical references and index.

Ch. 1. Finite Fields --
Ch. 2. Weil Conjectures --
Ch. 3. Local and Global Fields --
Ch. 4. The Riemann-Roch Theorem --
Ch. 5. Zeta and L-functions --
Ch. 6. Character Sum Estimates and Idele Class Characters --
Ch. 7. The Theory of Modular Forms --
Ch. 8. Automorphic Forms and Automorphic Representations --
Ch. 9. Applications--
Index.

The purpose of this book is to give from scratch, a coherent and comprehensive introduction to the topics in number theory related to the central tools, with the ultimate goal of presenting their applications. This book includes many important subjects in number theory. These include Weil conjectures, Riemann-Roch theorem, L-functions, character sum estimates, modular forms, and representation theory.

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