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Riemann zeta函数讲义(影印版)


作者:
H. Iwaniec
定价:
67.00 元
版面字数:
210千字
开本:
16开
装帧形式:
精装
版次:
1
最新版次
印刷时间:
2024年
ISBN:
978-7-04-055630-8
物料号:
55630-00
出版时间:
2021-03-09
读者对象:
学术著作
一级分类:
自然科学
二级分类:
数学与统计
三级分类:
数论

暂无
  • 目录
    • 前辅文
      • Part 1. Classical Topics
        • Chapter 1. Panorama of Arithmetic Functions
          • Chapter 2. The Euler–Maclaurin Formula
            • Chapter 3. Tchebyshev’s Prime Seeds
              • Chapter 4. Elementary Prime Number Theorem
                • Chapter 5. The Riemann Memoir
                  • Chapter 6. The Analytic Continuation
                    • Chapter 7. The Functional Equation
                      • Chapter 8. The Product Formula over the Zeros
                        • Chapter 9. The Asymptotic Formula for N(T)
                          • Chapter 10. The Asymptotic Formula for ψ(x)
                            • Chapter 11. The Zero-free Region and the PNT
                              • Chapter 12. Approximate Functional Equations
                                • Chapter 13. The Dirichlet Polynomials
                                  • Chapter 14. Zeros off the Critical Line
                                    • Chapter 15. Zeros on the Critical Line
                                    • Part 2. The Critical Zeros after Levinson
                                      • Chapter 16. Introduction
                                        • Chapter 17. Detecting Critical Zeros
                                          • Chapter 18. Conrey’s Construction
                                            • Chapter 19. The Argument Variations
                                              • Chapter 20. Attaching a Mollifier
                                                • Chapter 21. The Littlewood Lemma
                                                  • Chapter 22. The Principal Inequality
                                                    • Chapter 23. Positive Proportion of the Critical Zeros
                                                      • Chapter 24. The First Moment of Dirichlet Polynomials
                                                        • Chapter 25. The Second Moment of Dirichlet Polynomials
                                                          • Chapter 26. The Diagonal Terms
                                                            • Chapter 27. The Off-diagonal Terms
                                                              • Chapter 28. Conclusion
                                                                • Chapter 29. Computations and the Optimal Mollifier
                                                                • Appendix A. Smooth Bump Functions
                                                                  • Appendix B. The Gamma Function
                                                                    • Bibliography
                                                                      • Index

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