作者：Murty,M.R.
页数：502
出版社：哈尔滨工业大学出版社
出版日期：2014
ISBN：9787560346885
电子书格式：pdf/epub/txt
内容简介
《国外优秀数学著作·原版系列:解析数论问题集(第2版)(英文)》是国外优秀数学著作原版系列之一，解析数论，为数论中的分支，它使用由数学分析中发展出的方法，作为工具，来解决数论中的问题。它首次出现在数学家狄利克雷使用数学分析方法证明狄利克雷定理。
目录
preface to the second edition
acknowledgments for the second edition
preface to the first edition
acknowledgments for the first edition
problems
arithmetic functions
1.1 the m6bius inversion formula and applications.
1.2 formal dirichlet series
1.3 orders of some arithmetical functions
1.4 average orders of arithmetical functions
1.5 supplementary problems
2 primes in arithmetic progressions
2.1 summation techniques
2.2 characters mod q
2.3 dirichlet’s theorem
2.4 dirichlet’s hyperbola method
2.5 supplementary problems
the prime number theorem
3.1 chebyshev’s theorem
3.2 nonvanishing of dirichlet series on re(s) = 1
3.3 the ikehara – wiener theorem
3.4 supplementary problems
the method of contour integration
4.1 some basic integrals
4.2 the prime number theorem
4.3 further examples
4.4 supplementary problems
5 functional equations
5.1 poisson’s summation formula
5.2 the riemann zeta function
5.3 gauss sums
5.4 dirichletl-functions
5.5 supplementary problems
6 hadamard products
……
acknowledgments for the second edition
preface to the first edition
acknowledgments for the first edition
problems
arithmetic functions
1.1 the m6bius inversion formula and applications.
1.2 formal dirichlet series
1.3 orders of some arithmetical functions
1.4 average orders of arithmetical functions
1.5 supplementary problems
2 primes in arithmetic progressions
2.1 summation techniques
2.2 characters mod q
2.3 dirichlet’s theorem
2.4 dirichlet’s hyperbola method
2.5 supplementary problems
the prime number theorem
3.1 chebyshev’s theorem
3.2 nonvanishing of dirichlet series on re(s) = 1
3.3 the ikehara – wiener theorem
3.4 supplementary problems
the method of contour integration
4.1 some basic integrals
4.2 the prime number theorem
4.3 further examples
4.4 supplementary problems
5 functional equations
5.1 poisson’s summation formula
5.2 the riemann zeta function
5.3 gauss sums
5.4 dirichletl-functions
5.5 supplementary problems
6 hadamard products
……
