內容簡介
本書是Lecture Series of Modern Number Theory的第二捲,本書包含9篇文章,均由2014年7月26-28日,2015年七月16-31日在北京晨興數學中心舉辦的群錶示論研討會的講稿補充或重寫而成,作者都是國際上數論與群錶示論方麵的著名專傢。這些文章都可以作為群錶示論的相關領域的入門與深造的重要必讀文獻。
目錄
Contents
Preface
The Average Number of Goldbach Representations Daniel A.Goldston Liyang Yang
1. Introduction 1
2. Results 3
3. The Main Terms in the Asymptotic Expansion 3
4. Gallagher's Lemma 6
5. Bhowmik and Schlage-Puchta's Estimate 7
6. Estimates for Primes on RH 8
7. Proof of Theorems 1 and 2 9
References 10
Sieve Methods and Exponential Sums: An Interplay Between Combinatorics and Harmonic Analysis Angel V.Kumchev Introduction 13
1. A Basic Example: The Distribution of p Modulo One 15
1.1 First result.Vaughan's identity 15
1.2 Preparation for the sieve 18
1.3 A simple lower-bound sieve 22
2. An Application to Additive Number Theory: Exceptional Sets for Sums of Squares of Primes 27
2.1 A canonical application of the circle method 29
2.2 Some background on quadratic exponential sums 32
2.3 A first sieve result 35
2.4 Zhao's major-arc idea 38
2.5 A
素數與群錶示論(英文版) [Prime Numbers and Representation Theory] 下載 mobi epub pdf txt 電子書 格式
素數與群錶示論(英文版) [Prime Numbers and Representation Theory] 下載 mobi pdf epub txt 電子書 格式 2024
素數與群錶示論(英文版) [Prime Numbers and Representation Theory] mobi epub pdf txt 電子書 格式下載 2024