# Chen Jingrun's publications

We list below all the papers of Chen Jingrun that we have been able to find. It is clear the list is incomplete and we welcome anyone giving us details of any papers we have missed.

1. Chen Jing-run, On Waring's problem for $n$th powers (Chinese), Acta Mathematica Sinica 8 (1958), 253-257.

2. Chen Jing-run, Waring's problem for $g(5)$, Scientia Record (N.S.) 3 (1959), 327-330.

3. Chen Jing-run, On the representation of a natural number as a sum of terms of the form $\large\frac{1}{k!}\normalsize x(x+1) ... (x+k-1)$ (Chinese), Acta Mathematica Sinica 9 (1959), 264-270.

4. Chen Jing-run, The number of lattice points in a given region, Chinese Mathematics 3 (1962), 439-452.

5. Chen Jing-run, Corrigendum to Yin Wen-lin, Scientia Sinica 11 (12) (1962), 1725.

6. Chen Jing-run, On a problem of lattice points in a given domain, Acta Mathematica Sinica 12 (1962), 408-420.

7. Chen Jing-run, Improvement of asymptotic formulas for the number of lattice points in a region of three dimensions, Scientia Sinica 12 (1963), 151-161.

8. Chen Jing-run, The lattice-points in a circle, Scientia Sinica 12 (1963), 633-649.

9. Chen Jing-run, The lattice-points in a circle (Chinese), Acta Mathematica Sinica 13 (1963), 299-313

10. Chen Jing-run, The lattice-points in a circle, Chinese Mathematics -Acta 4 (1963), 322-339.

11. Chen Jing-run, Improvement on the asymptotic formulas for the number of lattice points in a region of the three dimensions. II, Scientia Sinica 12 (1963), 751-764.

12. Chen Jiung-run, An improvement of asymptotic formulae for $\sum _{n≤x} d_{3}(n)$ where $d_{3}(n)$ denotes the number of solutions of $n = pqr$, Scientia Sinica 13 (1964), 1185-1188.

13. Chen Jing-run, On the divisor problem for $d_{3}(n)$ (Chinese), Acta Mathematica Sinica 14 (1964), 549-558.

14. Chen Jing-run, On the divisor problem for $d_{3}(n)$, Chinese Mathematics -Acta 5 (1964), 591-601.

15. Chen Jing-run, Waring's problem for $g(5) = 37$, Scientia Sinica 13 (2) (1964), 335.

16. Chen Jing-run, Waring's problem for $g(5) = 37$, Scientia Sinica 13 (1964), 1547-1568.

17. Chen Jing-run, On the divisor problem for $d_{3}(n)$, Scientia Sinica 14 (1965), 19-29.

18. Chen Jing-run, Estimates for trigonometric sums (Chinese), Acta Mathematica Sinica 14 (1965), 765-768;

19. Chen Jing-run, Estimates for trigonometric sums, Chinese Mathematics -Acta 6 (1965), 163-167.

20. Chen Jing-run, On the order of $\zeta (1/2 + it)$ (Chinese), Acta Mathematica Sinica 15 (1965), 159-173.

21. Chen Jing-run, On the order of $\zeta (1/2 + it)$, Chinese Mathematics -Acta 6 (1965), 463-478.

22. Chen Jing-run, On the least prime in an arithmetical progression, Scientia Sinica 14 (1965), 1868-1871.

23. Chen Jing-run, On large odd numbers as sum of three almost equal primes, Scientia Sinica 14 (1965), 1113-1117.

24. Chen Jing-run, On the order of ζ (1/2 + it), Scientia Sinica 14 (1965), 522-538.

25. Chen Jing-run, On the representation of a larger integer as the sum of a prime and of a product of three primes (Chinese), Shuxue Jinzhan 8 (1965), 335-337.

26. Chen Jing-run, On the representation of a larger even integer as the sum of a prime and the product of at most two primes, Kexue Tongbao 17 (1966), 385-386.

27. Chen Jing-run, On Waring's problem for $n$th powers, Chinese Mathematics -Acta 8 1958 (1967), 849-853.

28. Chen Jing-run, On the representation of a larger even integer as the sum of a prime and the product of at most two primes, Scientia Sinica 16 (1973), 157-176.

29. Chen, Jing-run, An estimate for $g(4)$ in Waring's problem (Chinese), Acta Mathematica Sinica 17 (2) (1974), 131-142.

30. Chen Jing-run, On the distribution of almost primes in an interval, Scientia Sinica 18 (5) (1975), 611-627.

31. Chen Jing-run, On the least prime in an arithmetical progression and two theorems concerning the zeros of Dirichlet's $L$-functions, Scientia Sinica 20 (5) (1977), 529-562.

32. Chen Jing-run, On Professor Hua's estimate of exponential sums, Scientia Sinica 20 (6) (1977), 711-719.

33. Chen Jing-run, On the representation of a large even integer as the sum of a prime and the product of at most two primes. II, Scientia Sinica 21 (4) (1978), 421-430.

34. Chen Jing-run, On the Goldbach's problem and the sieve methods, Scientia Sinica 21 (6) (1978), 701-739.

35. Chen Jing-run, On the distribution of almost primes in an interval. II, Scientia Sinica 22 (3) (1979), 253-275.

36. Chen Jing-run, On the least prime in an arithmetical progression and theorems concerning the zeros of Dirichlet's $L$-functions. II, Scientia Sinica 22 (8) (1979), 859-889.

37. Chen Jing-runn and Pan Cheng Dong, The exceptional set of Goldbach numbers. I, Scientia Sinica 23 (4) (1980), 416-430.

38. Chen Jing-run, The exceptional set of Goldbach numbers. II, Scientia Sinica Series A 26 (7) (1983), 714-731.

39. Chen Jing-run and Li Jian Yu, On the sums of powers of the first $n$ natural numbers (Chinese), Acta Scientia Natur. Univ. Amoien. 23 (2) (1984), 134-147.

40. Chen Jing-run, On the representation of a large even integer as the sum of a prime and the product of at most two primes, in Wang Yuag (ed.), Goldbach Conjecture (World Scientific, 1984), 253-272.

41. Chen Jing-run, On the estimation of some trigonometrical sums and their applications, Scientia Sinica Series A 28 (5) (1985), 449-458.

42. Chen Jing-run and Li Jian Yu, Further investigations on the problem of sums of powers (Chinese), Kexue Tongbao 30 (17) (1985), 1281-1284.

43. Chen Jing-run and Li Jian Yu, On the sums of powers of natural numbers (Chinese), Qufu Shiyuan Xuebao (3) (1985), 1-13.

44. Chen Jing-run and Rie Jien Yu, Concerning a general property of the sums of powers of integers (Chinese), J. Mathematica Res. Exposition 6 (1) (1986), 43-50.

45. Chen Jing-run and Li Jian Yu, Some new results on $S_{k}(n)$, Kexue Tongbao 31 (6) (1986), 361-362.

46. Chen Jing-run, Three theorems about the $L$-function (Chinese), Qufu Shifan Daxue Xuebao Ziran Kexue Ban 12 (2) (1986), 1-14; 97.

47. Chen Jing-run, Three theorems about the $L$-function (continued) (Chinese), Qufu Shifan Daxue Xuebao Ziran Kexue Ban 12 (3) (1986), 1-8; 22.

48. Chen Jing-run, On zeros of Dirichlet's $L$ functions, Scientia Sinica Series A 29 (9) (1986), 897-913.

49. Chen Jing-run and Li Jian Yu, On the sums of powers of natural numbers, Chinese Quart. J. Mathematica 2 (1) (1987), 1-17.

50. Chen Jing-run and Liu Jianmin, The exceptional set of Goldbach-numbers. III, Kexue Tongbao 32 (20) (1987), 1434-1435.

51. Chen Jing-run and Pan Cheng Biao, Analytic number theory in China. I, Number theory and its applications in China, Contemp. Mathematica 77 (Amer. Mathematica Soc., Providence, RI, 1988), 1-17.

52. Chen Jing-run and Liu Jianmin, The exceptional set of Goldbach-numbers. III, Chinese Quart. J. Mathematica 4 (1) (1989), 1-15.

53. Chen Jing-run and Wang Tian Ze, On the Goldbach problem (Chinese), Acta Mathematica Sinica 32 (5) (1989), 702-718.

54. Chen Jing-run and Wang Tian Ze, A theorem on exceptional zeros of $L$-functions (Chinese), Acta Mathematica Sinica 32 (6) (1989), 841-858.

55. Chen Jing-run and Liu Jian Min, On the least prime in an arithmetical progression. III, Scientia China Series A 32 (6) (1989), 654-673.

56. Chen Jing-run and Liu Jian Min, On the least prime in an arithmetical progression. IV, Scientia China Series A 32 (7) (1989), 792-807.

57. Chen Jing-run and Wang Tian Ze, On the distribution of zeros of Dirichlet $L$-functions (Chinese), Sichuan Daxue Xuebao 26 (Special Issue) (1989), 145-155.

58. Chen Jing-run and Wang Tian Ze, A study on the Goldbach problem in the case of odd numbers (Chinese), Kexue Tongbao 34 (20) (1989), 1521-1522.

59. Chen Jing-run and Wang Tian Ze, On distribution of primes in an arithmetical progression, Scientia China Series A 33 (4) (1990), 397-408.

60. Chen Jing-run and Wang Jian Ze, A note on the Goldbach problem (Chinese), Acta Mathematica Sinica 34 (1) (1991), 143-144.

61. Chen Jing-run and Liu Jianmin, On the least prime in an arithmetical progression and theorems concerning the zeros of Dirichlet's $L$-functions. V, International Symposium in Memory of Hua Loo Keng, Beijing, 1988, Vol. I (Springer, Berlin, 1991), 19-42.

62. Chen Jing-run and Wang Tian Ze, Estimation of the second main term in odd Goldbach problem, Acta Mathematica Scientia 11 (3) (1991), 241-250.

63. Wang Tian Ze and Chen Jing-run, On odd Goldbach problem under general Riemann hypothesis, Scientia China Series A 36 (6) (1993), 682-691.

64. Wang, Tian Ze and Chen Jing-run, Estimation of linear trigonometric sums with prime number variables (Chinese), Acta Mathematica Sinica 37 (1) (1994), 25-31.

65. Chen Jing-run and Wang Tian Ze, The Goldbach problem for odd numbers (Chinese), Acta Mathematica Sinica 39 (2) (1996), 169-174.

66. Chen Jing-run, On the representation of a large even integer as the sum of a prime and the product of at most two primes, in Wang Yuag (ed.), Goldbach Conjecture (2nd Edition) (World Scientific, 2002), 275-294.

Last Updated March 2022