Selected Papers of Wang Yuan

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Overview

This volume presents a comprehensive collection of Wang Yuan’s original important papers which are not available elsewhere, since the majority of the papers were published in China.

Covering both pure number theory and applied mathematics, this book is important for understanding Wang Yuan’s academic career and also the development of Chinese mathematics in recent years, since Wang Yuan’s work has a wide-ranging influence in China.

Wang Yuan is a professor and academician of the Chinese Academy of Sciences. He received his honorable Doctorship from Hong Kong Baptist University. He has published 70 papers and ten books.

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Product Details

  • ISBN-13: 9789812561978
  • Publisher: World Scientific Publishing Company, Incorporated
  • Publication date: 6/14/2005
  • Pages: 512
  • Product dimensions: 6.40 (w) x 9.80 (h) x 1.30 (d)

Table of Contents

Wang Yuan : a brief outline of his life and works
1 Number theory
1 On the representation of large even integer as a sum of a product of at most 3 primes and a product of at most 4 primes 1
2 On some properties of integral valued polynomials 16
3 On sieve methods and some of the related problems 25
4 On sieve methods and some of their applications 29
5 On the representation of large even number as a sum of two almost-primes 34
6 A note on some properties of the functions [phi](n), [sigma](n) and [theta](n) 39
7 A note on some properties of the arithmetical functions [phi](n), [sigma](n) and d(n) 53
8 On sieve methods and some of their applications 66
9 On sieve methods and some of their applications 91
10 On the least primitive root of a prime 109
11 On the representation of larger integer as a sum of a prime and an almost prime 123
12 On the estimation of character sum and its applications 145
13 On the maximal number of pairwise orthogonal Latin square of order s (application of sieve method) 153
14 On the representation of every large even integer as a sum of a prime and an almost prime 168
15 Remarks on a theorem of Davenport 180
16 On Linnik's method concerning the goldbach number 185
17 Remarks concerning a transference theorem of linear forms 200
18 A note on a transference theorem of linear forms 205
19 A note on some metrical theorems in diophantine approximation 210
20 Bounds for solutions of additive equations in an algebraic number field I 222
21 Bounds for solutions of additive equations in an algebraic number field II 250
22 Diophantine inequalities for forms in an algebraic number field 267
23 On homogeneous additive congruences 288
24 Small solutions of congruences 301
25 On small zeros of quadratic forms over finite fields II 321
2 Numerical analysis and statistics
26 Remarks concerning numerical integration 329
27 A note on interpolation of a certain class of functions 333
28 On diophantine approximations and numerical integrations I 338
29 On diophantine approximations and numerical integrations II 340
30 On numerical integration of periodic functions of several variables 342
31 On interpolation of a certain class of functions 357
32 On uniform distribution and numerical analysis I (number-theoretic method) 361
33 On uniform distribution and numerical analysis II (number-theoretic method) 384
34 On uniform distribution and numerical analysis III (number-theoretic method) 402
35 A note on uniform distribution and experimental design 417
36 On diophantine approximation and approximate analysis I 422
37 On diophantine approximation and approximate analysis II 431
38 Number theoretic method in applied statistics 441
39 Number theoretic methods in applied statistics II 456
40 Uniform design of experiments with mixtures 468
List of publications by Wang Yuan 481
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