生前图片
 

潘承洞院士论著目录

论文

[1] On (n) and (n), Bull. Acad. Polon. Sci. Cl. III, 4(1956), 637-638.
[2] On (n) and (n), Acta Sci. Nat. Univ. Pekinensis, 2(1956), 303-322. (in Chinese)
[3] On the Least Prime in an Arithmetical Progression, Sci. Record , New Series, 1(1957),311-313(in English)£?283-285.(in Chinese)
[4] On the Least Prime in an Arithmetical progression, Acta Sci. Nat. Univ. ekinensis, 4, 1 (1958), 1-34. (in Chinese)
[5] Some New Results on Additive Theory of Prime Numbers, Acta Math. Sin., 9 (1959), 315-329. (in Chinese)
[6] On the Numerical Integration of a Kind of Multiple Integrals, Sci. Record, New Series, 3(1959), 534-537 (in English) 430-432.(in Chinese)
[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 (in Chinese); Sci. Sin., 11 (1962), 873-888. (in Russian)
[10] 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, no.2, 40-62 (in Chinese); Sci. Sin., 12,(1963), 455-473. (in Russian)
[12] Generalized Cauchy Formula, J. Shandong Univ.,1962,9-13. (in Chinese) [13] On Dirichlet Functions (Russian), Sci. Sinica, 12(1963), 615.
[14] On the K-th Mean Value of the Class Numbers of Imaginary Primitive Quadratic forms, Sci. Sinica, 12(1963), 737-738. (in Russian)
[15] On the Least Prime in An Arithmetic Progression, Acta Sci. Nat. Univ. Shandong, 1963, 22-42. (in Chinese)
[16] A note on the Large Sieve Method and Its Applications, Acta Math. Sin., 13(1963), 262-268. (in Chinese)
[17] New Application of Linnik's Large Sieve Method, Sci. Sini., 13(1964), 497-508.
[18] New Application of Yu. V. Linnik's Large Sieve Method, Acta Math. Sin., 14(1964), 597-606(in Chinese); Sci. Sin., 13(1964), 1045-1053. (in Russian)
[19] On the K-th Mean Value of the Class Numbers of Imaginary Primitive Quadratic Forms, Acta Sci. Nat. Univ. Shandong, 1963. (in Chinese)
[20] On the Distribution of Zeros of the Riemann Zeta Function, Acta Sci. Nat. Univ. Shandong, 1964.(in Chinese)
[21] On the Zeros of the Zeta Function of Riemann, Sci. Sinica, 14(1965), 303-305.
[22] Spline Function and Its Applications (I), 数学的实践与认识, 1975, no. 3, 64-75. (in Chinese)
[23] Spline Function and Its Applications (II), ibid. 1975, no. 4, 56-77. (in Chinese)
[24] Spline Function and Its Applications (III), ibid. 1976, no. 1, 63-78. (in Chinese)
[25] Spline Function and Its Applications (IV), ibid. 1976, no. 2, 59-73.(in Chinese)
[26] On Representation of Even Numbers as the Sum of a Prime and an Almost Prime (with Ding Xiaxi, Wang Yuan), Sci. Sin., 18(1975), 599-610.
[27] On Representation of Even Numbers as the Sum of a Prime and an Almost Prime (with Ding Xiaxi, Wang Yuan), Chinese Sci. Bul., 20(1975), 358-360. (in Chinese)
[28] A Mean value Theorem (with Ding Xiaxi), Acta Math. Sin., 18 (1975), 254- 262. (in Chinese)
[29] 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.
[30] Correction to "A Mean value Theorem" (with Ding Xiaxi), Acta Math. Sin., 19(1976), 217-218. (in Chinese)
[31] Goldbach Problem, Acta Sci. Nat. Univ. Shandong, 1978, 46-53. (in Chinese)
[32] A New Mean Value Theorem (with Ding Xiaxi), Sci. Sinica, Special Issues (II), 2(1979),149-161.
[33] On the Exceptional Set of Goldbach's Numbers (with Chen Jingren), Acta Sci. Nat. Univ. Shandong, 1979,1-27(in Chinese); Sci. Sin., 23(1980), 219-232(in Chinese); Sci. Sin., 23(1980), 416-430.(in English)
[34] A New Mean Value Theorem and Its Applications, Recent Progress in Analytic Number Theory (edit. H.Halberstam), vol. 1, 275-287. Academic Press, London, 1981.
[35] A New Mean Value Theorem and Its Applications, Chin. Ann. of Math., 1:1(1980),149-160.
[36] Goldbach Numbers, Chinese Sci. Bull., Special Issue, 1980, 71-73.(in Chinese)
[37] On the Minor Arcs of Goldbach Problem, Acta Sci. Nat. Univ. Shandong, 1980,1-4. (in Chinese)
[38] On Goldbach Problem, Acta Sci. Nat. Univ. Shandong, 1981,1-6. (in Chinese)
[39] A New Attempt on Goldbach Conjecture, Chin. Ann. of Math., 3:4(1982), 555-560.
[40] An Estimate of Trigometric Sums, Acta Sci. Nat. Univ. Shandong, 1982,19-23. (in Chinese)
[41] On Estimation of Trigometric Sums over Primes in Short Intervals (I) (with Pan Chengbiao), Sci. Sinica, 31(1988), 1121-1128(in Chinese); 32(1989), 408-416. (in English)
[42] Analytic Number Theory in China (II), (with Pan Chengbiao, Xie Shenggang),AMS, Contemparary Math., 77(1988), 19-62.
[43] On Estimation of Trigometric Sums over Primes in Short Intervals (II) (with Pan Chengbiao), Sci. Sinica, 32(1989), 641-653.
[44] On Estimation of Trigometric Sums over Primes in Short Intervals (III) (with Pan Chengbiao), Chin. Ann. of Math., 11B:2(1990),138-147.
[45] On Representation of Odd Numbers as Sum of Three Almost Equal Primes (with Pan Chengbiao), Acta Sci. Nat. Univ. Sichuan, Special Issue, 1990, 172-183.

著作

1. 素数分布与哥德巴赫猜想, 山东科技出版社, 济南, 1979.
2. 哥德巴赫猜想(与潘承彪合著), 科技出版社, 北京, 1979.
3. 阶的估计(与于秀源合著), 山东科技出版社, 济南, 1984.
4. 素数定理的初等证明(与潘承彪合著), 上海科技出版社, 上海, 1988.
5. 解析数论基础(与潘承彪合著), 科技出版社, 北京, 1991.
6. 初等代数数论(与潘承彪合著), 山东大学出版社, 济南, 1991.
7. Goldbach Conjecture (with Pan Chengbiao), Science Press, Beijing, 1992.
8. 初等数论(与潘承彪合著), 北京大学出版社, 北京, 1992; 凡异出版社, 台湾 新竹, 1995.
9. 简明数论(与潘承彪合著),北京大学出版社,北京,1997.

     
     
 

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