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书名 解析数论(英文)/国外优秀数学著作原版系列
分类 科学技术-自然科学-数学
作者 (日)本桥洋一
出版社 哈尔滨工业大学出版社
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简介
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本桥洋一主编的《解析数论(英文)》主要介绍了解析数论的最新进展,包含了解析数论领域国际领先人物的杰出贡献,讲述了Zeta函数、关于哥德巴赫猜想的经典问题,以及丢番图方程等相关问题。本书适合数学系高年级本科生、研究生,以及数学爱好者参考阅读。
目录
1.Subvarieties of Linear Tori and the Unit Equation A Survey
2.Remarks on the Analytic Complexity of Zeta Functions
3.Normal Distribution of Zeta Functions and Applications
4.Goldbach Numbers and Uniform Distribution
5.The Number of Algebraic Numbers of Given Degree Approximating a Given Algebraic Number
6.The Brun-Titchmarsh Theorem
7.A Decomposition of Riemann's Zeta-Function
8.Multiplicative Properties of Consecutive Integers
9.On the Equation (xm - 1)/(x - 1) = yq with x Power
10.Congruence Families of Exponential Sums
11.On Some Results Concerning the Riemann Hypothesis
12.Mean Values of Dirichlet Series via Laplace Transforms
13.The Mean Square of the Error Term in a Genelarization of the Dirichlet Divisor Problem
14.The Goldbach Problem with Primes in Arithmetic Progressions
15.On the Sum of Three Squares of Primes
16.Trace Formula over the Hyperbolic Upper Half Space
17.Modular Forms and the Chebotarev Density Theorem II
18.Congruences between Modular Forms
19.Regular Singularities in G-Function Theory
20.Spectral Theory and L-functions
21.Irrationality Criteria for Numbers of Mahler's Type
22.Hypergeometric Functions and Irrationality Measures
23.Forms in Many Variables
24.Remark on the Kuznetsov Trace Formula
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