## Selected Publications of Professor Pan Chengdong

1. On $\sigma (n)$ and $\phi (n)$
2. On $\sigma (n)$ and $\phi (n)$
Acta Sci. Nat. Univ. Pekinensis,2(1956)
3. On the Least Prime in an Arithmetical Progression
Sci. Record (New Series), 1(1957), 283-285.
4. On the Least Prime in an Arithmetical progression
Acta Sci. Nat. Univ. Pekinensis, 4, 1 (1958), 1-34.
5. Some New Results on Additive Theory of Prime Numbers
Acta Math. Sin., 9(1959), 315-329.
6. On the Numerical Evalution of Multiple Integers
Sci. Record (New Series), 3(1959), 430-432.
7. On the Establishment of the Fundamental Equation of Flat Skulls
Acta Sci. Nat. Univ. Shandong,1961,
8. On Representation of Even Numbers as the Sum of a Prime and an Almost Prime
Acta Math. Sin., 12(1962), 95-106.
9. On Representation of Even Numbers as the Sum of a Prime and an Almost Prime
Sci. Sin., 11, 7 (1962), 875-888.
10. On Representation of Large Even Numbers as the Sum of a Prime and a Product of at most four primes
Sci. Sin., 11, 7 (1962), 455-475.
11. On Representation of Large Even Numbers as the Sum of a Prime and a Product of at most four primes
Acta Sci. Nat. Univ. Shangdong,1962, 40-62.
12. Generalized Cauchy Formula
J. Shandong Univ.,1962,9-13
13. On Dirichlet Functions (Russian)
Sci. Sinica, 12(1963)
14. On the K-th Mean Value of the Class Numbers of Imaginary Primitive Quadratic forms
Sci. Sinica, 12(1963), 737-739
15. On the Least Prime in An Arithmetic Progression
Acta Sci. Nat. Univ. Shandong,1963,22-42
16. A note on the Large Sieve Method and Its Applications
Acta Math. Sin., 13(1963), 262-268.
17. New Application of Linik's Large Sieve Method
Sci. Sini., 13(1964), 497-508.
18. New Application of Linik's Large Sieve Method
Acta Math. Sin.,14(1964)
19. On the K-th Mean Value of the Class Numbers of Imaginary Primitive Quadratic Forms
Acta Sci. Nat. Univ. Shandong, 1963,
20. On the Distribution of Zeros of the Riemann Zeta Function
Acta Sci. Nat. Univ. Shandong, 1964
21. On Moments of the Number of Classes on Purely Radical Quauratic Forms with Negative Determinant
Sci. Sin., 12, 5 (1965), 737-738.
22. On the Zeros of the Zeta Function of Riemann
Sci. Sinica, 14(1965), 303-365
23. On Representation of Even Numbers as the Sum of a Prime and an Almost Prime (with Ding Xiasxi)
Sci. Sin., 18(1975)
24. On Representation of Even Numbers as the Sum of a Prime and an Almost Prime (with Ding Xiasxi)
Chinese Sci. Bul., 20(1975)
25. A Mean value Theorem (with Ding Xiaxi)
Acta Math. Sin., 18(1975)
26. On Representation of Large Even Numbers as the Sum of a Prime and an Almost Prime (with Wang Yuan and Ding Xiaxi)
Acta Sci. Nat. Univ. Shandong, 1975
27. Correction to "A Mean value Theorem" (with Ding Xiaxi)
Acta Math. Sin., 19(1976)
28. Goldbach Problem
Acta Sci. Nat. Univ. Shandong, 1978, 46-53
29. A New Mean Value Theorem (with Ding Xiaxi)
Sci. Sinica, Special Issues (II),2(1979),149-161
30. On the Exceptional Set of Goldbach's Numbers (with Chen Jingren)
Acta Sci. Nat. Univ. Shandong, 1979,1-27
31. A New Mean Value Theorem and Its Applications
Recent Progress in Analytic Number Theory (edit. H.Hlberstem), vol. 1
32. On the Exceptional Set of Goldbach's Numbers (with Chen Jingren)
Sci. Sinica, 23(1980)
33. A New Mean Value Theorem and Its Applications
Chin. Ann. of Math., 1:1(1980),149-160
34. Goldbach Numbers
Chinese Sci. Bul., Special Issue, 1980
35. On the Minor Arcs of Goldbach Problem
Acta Sci. Nat. Univ. Shandong, 1980,1-4
36. On Goldbach Problem
Acta Sci. Nat. Univ. Shandong, 1981,1-6
37. A New Attempt on Goldbach Conjecture
Chin. Ann. of Math., 3:4(1982),555-560
38. An Estimate of Trigometric Sums
Acta Sci. Nat. Univ. Shandong, 1982,19-23
39. On Estimation of Trigometric Sums over Primes in Short Intervals (I) (with Pan Chenbiao)
Sci. Sinica, 31(1988)
40. Analytic Number Theory in China (II)
AMS, Contemparary Math., 77(1988)
41. On Estimation of Trigometric Sums over Primes in Short Intervals (II) (with Pan Chenbiao)
Sci. Sinica, 32(1989)
42. On Estimation of Trigometric Sums over Primes in Short Intervals (III) (with Pan Chenbiao)
Chin. Ann. of Math., 11B:2(1990),138-147
43. On Representation of Odd Numbers as Sum of Three Almost Equal Primes (with Pan Chenbiao)
Acta Sci. Nat. Univ. Sichuan, Special Issue, 1990

## Books

1. Distribution of Primes and Goldbach Conjecture
Shandong Science and Technology Press, Shandong, 1979
2. Goldbach Conjecture
Science Press, Beijing, 1979
3. Magnitude Estimates (with Yu Xiu Yuan)
Shandong Science and Technology Press, Shandong, 1984
4. Elementary Proofs of Prime Number Theorem (with Pan Chengbiao)
Shanghai Science and Technology Press, Shanghai, 1988
5. Foundation to Analytic Number Theory (with Pan Chengbiao)
Science Press, Beijing, 1991
6. Elementary Algebraic Number Theory (with Pan Chengbiao)
Shandong University Press, Shandong, 1991
7. Goldbach Conjecture (English) (with Pan Chengbiao)
Science Press, Beijing, 1992
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