序号

发表的文章的名称、时间与刊物

1

Study on Sturm Theorem.Science 14(1929),545-548.(in Chinese)

2

On incorrectness of Shu Jia Ju's paper.Science 15(1930),307-309.(in Chinese)

3

Study on function T-1{H(x)}.Science 15(1931),871-888.1025-1062.(in Chinese)

4

A Theorem of integral calculus.Science 15(1931),1716-1719.

5

Generalization and trial of additive angles formula in trigonometry. Science 15(1931),1930-1945.(in Chinese)

6

A new function.Science 15(1931),1051-2058.

7

On pseudo-periodic functions. Trans. Sci. Soc. China 8(1934),19-21; also Tohoku Math.J.39(1934),316-321.

8

On the representation of integers by circulant. Trans. Sci. Soc. China 8(1934),19-21; also Tohoku Math.J.39(1934),316-321.

9

On a theorem of Hermite. Trans. Sci. Soc. China 8(1934),157-158.

10

A note on Minkowski's theorem of homogeneous linear forms. Trans. Sci. Soc. China 8(1934),160-161.

11

On the hypergeometric functions of higher order. Tohoku Math.J.39(1934),253-263.

12

Note on diophantine equation of two circulants. Tohoku Math.J.40(1934),34-35.

13

Note on Pell's equation. Tohoku Math.J.40(1934),36.

14

Waring's problem for cubes. Bull. Calcuttta Math. Soc. 26(1934),139-140.

15

On a certain kind of operations connected with linear algebra. Tohoku Math.J.41(1935),222-246.

16

A proof of Hadamard's theorem. Tohoku Math.J.41(1935),247-248.

17

The representation of integers as sums of the cubic function (x3+5x)/6. Tohoku Math.J.4(1935),356-360.

18

On the representation of integers by the sums of seven cubic functions. Tohoku Math.J.4(1935),361-366.

19

The representation of integers as sums of cubic function (x3+2x)/3. Tohoku Math.J.41(1935),367-370.

20

On an easier Waring-kamke problem. Sci. Repts. Tsing Hua Univ. A3(1935),247-260.

21

On Waring's theorems with cubic polynomial Summands. Math.Ann.III(1935),622-628.

22

On Waring's problem with polynomial summands.Amer.J.Math.58(1936),553-562;also Chinese Math. Soc. 1(1936),23-61.

23

Note on boundedly convergent power series. Sci. Repts. Tsing Hua Univ. A3(1936),345-351.

24

A problem on the additive theory of number of several variables. Math. Zeit. 41(1936),708-712.

25

On Waring's problem. Tohoku Math.J.42(1936),210-225.

26

An easier Waring-Kamke problem.J.London Math.Soc.II(1936),4-5.

27

On Fourier transforms in Lp in the complex domain. J. Math. Phys. 15(1936),249-263.(with S.S.Shu)

28

A problem in the additive theory of numbers of several variables. J. London Math. Soc. 12(1937),257-261.

29

A generalization of an easier Waring-Kamke problem. J. London Math. Soc. 12(1937),262-264.

30

On a generalized Waring problem. Proc. London Math. Soc.(2) 43(1937),161-182.

31

On the representation of integers as the Sums of the k-th powers of primes. Dokl. Akad. Nauk SSSR(N.S) 17(1937),167-168.

32

Some results in the additive prime-number theory. Quart. J. Math. Oxford Ser. 9(1938), 68-80.

33

Some results in the additive prime-number theory. Dokl. Akad. Nauk SSSR(N.S) 18(1938),3.

34

Some results in the additive theory of numbers. Dokl. Akad. Nauk SSSR(N.S) 18(1938),4.

35

Some results in Waring's Problem for small powers. Dokl. Akad. Nauk SSSR(N.S) 18(1938),527-528.

36

On Waring's problem. Quart. J. Math. Oxford Ser. 9(1938), 199-202.

37

On Tarry's problem. Quart. J. Math. Oxford Ser. 9(1938), 315-320.

38

On an exponential sum. J. London Math. Soc. 13(1938),54-64; also J. Chinese Math. Soc.2(1940),301-312(with further progress).

39

On the representation of numbers as the sums of the powers of primes. Math. Zeit. 44(1938),335-346.

40

A generalization of Lendsdoff's Theorem. Proc. Indian Acad. Sci. 7(1938),390-392.

41

On Waring's problem for fifth powers. Proc. London Math. Soc. (2)45(1939),144-160.

42

A remark on the moment problem. J. London Math. Soc. 14(1939),84-86.

43

On a lemma due to Vinogradow. Dokl. Akad. Nauk SSSR(N.S) 24(1939),419-420.

44

On a system of diophantine equations. Dokl. Akad. Nauk SSSR(N.S) 27(1940),312-313.

45

On a generalized Waring problem. II. J. Chinese Math. Soc. 2(1940), 175-191.

46

Some "Anzahl" theorems for groups of prime-power orders. J. Chinese Math. Soc. 2.(1940), 313-310.(with H.F. Tuan)

47

On a Waring's problem with cubic polynomial Summands. J. Indian Math. Soc. 4.(1940),127-135;also Sci. Repts. Tsing Hua Univ. A4(1940),55-83.

48

On a theorem due to Vinogradow. Quart. J. Math. Oxford Ser. 11(1940), 161-176.

49

Sur une somme exponentielle. C. R. Acad. Sci. Paris 210(1940),520-523.
49A·On an exponential sum. J. Chinese Math. Soc. 2(1940),301-312

50

Sur le probleme de Waring relatif a un polynome du troisieme degre. C.R. Acad. Sci. Paris 210(1940).

51

On the number of solutions of certain congruences. Sci. Repts. Tsing Hua Univ. A4(1940),113-133.(with S. H. Min).

52

Determination of the groups of odd-prime-power order pn which contains a cyclic subgroup of index p2. Sci. Repts. Tsing Hua Univ. A4(1940),145-154(with H.F. Tuan).

53

Some recent progress in theory of numbers. Quart. Wu Han Univ. 7(1940).(with K.L.Chung) (in Chinese).

54

A note on the class number of ternary quadratic forms J. London Math. Soc. 16(1941) 82-83.

55

On diophantine approximation. Dokl. Akad. Nauk SSSR(N.S) 32(1941),395-396.

56

Some problem of of the geometrical theory of numbers. Sci. Record 1(1942),19-21.

57

On character sums. Sci. Record 1(1942),21-23.

58

On a double exponential sum. Sci. Record 1(1942),23-25.(with S. H. Min)

59

An analogue of Tarry's problem. Sci. Record 1(1942),26-29.(with S. H. Min)

60

On the number of partitions of number into unequal parts. Trans. Amer. Math. Soc. 51(1942),194-201.

61

On the least primitive root of a prime. Bull. Amer. Math. Soc. 48(1942),726-730.

62

On the least solution of Pell's equation. Bull. Amer. Math. Soc. 48(1942),731-735.

63

The lattice points in a circle. Quart. J. Math. Oxford Ser. 13(1942),18-29.

64

On the distribution ofquadratic ono-residues and the Euclidean algorithm in real quadratic fields, I-II. Trans. Amer. Math. Soc. 56(1944),527-546,547-569(II with S. H. Min).

65

On the lack of an Euclidean algoritm in R(61). Amer. J. Math. 67(1945),209-211.(with W.T.Shih).

66

On the theory of automorphic functions of a matrix variable. I. Geometrical basis. II. The classification of hypercircles under the symplectic group. Amer. J. Math. 66(1944),470-488,531-563.

67

Geometries of matrices. I.Generalizations of von Staudt's Theorem. II. Arithmetical construction. Trans. Amer. Math. Soc. 57(1945),441-481,482-490.

68

A remark on a result due to Blichfeldt. Bull. Amer. Math. Soc. 51(1945),537-539.

69

Geometries of matrices. Sci. Record 1(1945),262-267.

70

The theory of automorphic functions of a matrix variable. Sci. Record 1(1945),303-305.

71

On the Euclidean algorithm in the real quadratic fields. Sci. Record 1(1945),319(with W.T. Shih).

72

Geometries of symmetric matrices over the real field. I-II. Dokl. Akad.Nauk SSSR(N.S) 53(1946),95-97,195-196.

73

Automorphism of real symplectic group. Dokl. Akad.Nauk SSSR(N.S) 53(1946),303-306.

74

On the theory of Fuchsian functions of several variables. Ann. of Math. 47(1946),167-191.

75

On the extended space of several complex variables(1). The space of complex spheres. Quart.J.Math. Oxford Ser.17(1946),214-222; also Sci. Record 2(1947),6-8.

76

Orthogonal classiffication of Hermitian matrices. Trans. Amer. Math. Soc. 59(1946),508-523.

77

Geometries of matrices. II.Study of involutions in the geometry of symmetric matrices. Trans. Amer. Math. Soc.61(1947),193-228.

78

Geometries of matrices. III. Foundamental Theorems in the geometry of symmetric matrices. Trans. Amer. Math. Soc.61(1947),229-255.

79

Theory of automorphic functions of several complex variables.Akad. Nauk Gruzin SSR. Trudy Tbillis Mat. Inst. Razadze 15(1947),143-273.

80

Some results on additive theory of numbers. Proc.Nat. Acad. Sci. U.S.A. 33(1947),136-137.

81

Some "Anzahl" theorems for groups of prime power orders. Sci. Repts. Tsing Hua Univ. A4(1947),313-327.

82

On a double exponential sum. Sci. Repts. Tsing Hua Univ.A4(1947), 484-518(with S.H. Min).

83

A theorem on matrices and its application to Grassmann space. Sci Repts. Tsing Hua Univ. A5(1948),150-181.

84

Introduction to the theory of vector modular forms Akad. Nauk Azerbaidzan SSR. Trudy Inst. Fiz. Mat. 3(1948),32-43,(in Russsian).

85

On the automorphisms of the symplectic group over any field. Ann. of Math. 49(1948),739-759.

86

On the existence of solutions of certain equations in a finite field. Proc. Nat. Acad. Sci. U.S.A. 34(1948), 258-263,(with H.S.Vandiver)

87

Characters over certain types of rings with applications to the theory of equations in a finite field. Proc. Nat. Acad. Sci. U.S.A. 35(1949), 94-99,(with H.S.Vandiver)

88

On the automorphisms of a sfield. Proc. Nat. Acad. Sci. U.S.A. 35(1949), 386-389.

89

On the number solutions of some trinomial equations in a finite field. Proc. Nat. Acad. Sci. U.S.A. 35(1949), 477-481,(with H.S.Vandiver)

90

On the nature of the solutions of certain equations in a finite field. Proc. Nat. Acad. Sci. U.S.A. 34(1948), 258-263,(with H.S.Vandiver)

91

Some properties of a sfield. Proc. Nat. Acad. Sci. U.S.A. 35(1949), 533-537.

92

On the generators of symplectic modular grouop. Trans. Amer. Math. Soc.65(1949),415-426.(with I.Reiner).

93

Geometry of symmetric matrices over any field with characteristic other than two. Ann. of Math. 50(1949),8-31.

94

Improvement of result of Wright. J.London Math. Soc. 24(1949),157-159.

95

An improvement of Vinogradov's mean-value theorem and several applications. Quart. J. Math. 20(1949), 48-61.

96

On the multiplicative group of field. Sci. Record 3(1950), 1-6.

97

On semi-homomorphisms of rings and their application in projective geometry. Sci. Sinica 1(1950)1-6, (in Chinese); also Uspehi Mat. Nauk 8(55)(1953), 143-148. (in Russian)

98

Foundmental therem of the projective geometry on a line and geometry of matrices. C.R. 1er cong. Math. Hongrois (1950), 317-325, Akad. Kiado, Budapest, 1953.

99

A theorem on matrices over a sfield and its applications. Acta. Math. Sinica 1(1951), 109-163.

100

On exponential sums over an algebraic number field. Canadian J. Math. 3(1951), 44-51.

101

Supplement to the paper of Dieudonne on the automorphism of classical groups. Memoirs Amer. Math. Soc. 2(1951), 96-122.

102

Automorphisms of the unimodular group. Trans. Amer. Math. Soc. 71(1951),331-348.(with I. Reiner)

103

Estimation of an integral. Sci. Sinica 4(1951), 393-402. (in Chinese)

104

On the number of solutions of Tarry's problem. Acta Sci. Sinica 1(1952), 1-76.

105

On the automorphism and isomorphisms of linear group. Acta Sci. Sinica 2(1952-1953), 1-52(with Wan Zhe Xian).

106

Automorphisms of the projective unimodular group. Trans. Amer Math. Soc. 72(1952),467-473.(with I.Reiner)

107

A note on the total matrix ring over a non-commutative field. Ann Soc. Polon. Math. 25(1952), 188-198.

108

A generalization of Hamiltonian matrices. Acta. Sci. Sinica 2(1953),1-58.

109

The present position of Mathematics in China, Ke Xue Tong Bao 2(1953), (in Chinese); also Vestnik Akad. Nauk SSSR 6(1953), 14-20.

110

Theory of functions of several complex variables. I. A complete orthonormal system in the hyperbolic space of matrices. Acta Sci. Sinica 4(1953), 288-323.(in Chinese)

111

On the theory of functions of several complex variables.I. A complete orthonormal system in the hyperbolic space of rectangular matrices. II. A complete orthonormal system in the hyperbolic space of hyperspheres. Dokl. Akad. Nauk SSSR(N.S) 93(1953), 775-777, 983-984. (in Russian)

112

On the estimation of the unitary curvature of the space of several complex variables. Sci. Sinica 4(1955), 27-32.

113

On ono-continuable domain with constant curvature. Acta. Math. Sinica 4(1954),317-332.(in Chinese); Sci. Sinica 4(1955) 27-32.

114

Theory of functions of several complex variables. II. A complete orthonormal system in the hyperbolic space of hyperspheres. Acta. Math. Sinica 5(1955),1-25.(in Chinese).

115

On the theory of functions of several complex variables, A complete orthonormal system in the hyperbolic space of hyperspheres. Dokl. Akad. Nauk SSSR(N.S) 101(1955), 29-30.

116

An inequality for determinants. Acta. Math. Sinica 5(1955),463-470.(in Chinese).

117

Some algebraic identities. Izv. Nat. Inst. Bulgarian Akad. Nauk 2(1956),3-12.

118

Some definite integrals. Acta Math Sinica 6(1956),302-312.

119

On exponential sums. Sci. Record(N.S) 1 (1957),no.1, 1-4.

120

On the major arcs of Waring Problem. Sci. Record(N.S) 1(1957), no.3, 17-18.

121

On a system of partial differential equations .Sci. Record (N.S) 1(1957), 367-371.

122

On the Riemannian curvature in the space of several complex variables. Schr. Forschungs-inst. Math. 1(1957), 245-263.

123

Geometry of rectangular matrices and their application to real projective and non-euclidean geometry. Sci. Sinica 6(1957), 995-1011. (with B.A.Rosenfield).

124

On Cauchy formula for the space of skew-symmetric matrices odd order. Sci. Record(N.S) 2(1958), 19-22.(with K.H. Look)

125

Boundary properties of the Poisson interral of Lie sphere. Sci. Record(N.S) 2(1958), 77-80.(with K.H. Look)

126

A convergence theorem in the space of continuous functions on a compact group. Sci. Record(N.S) 2(1958), 280-284.

127

A subgroup of the orthogonal group with respect to an indefinite quadratic form. Sci. Record(N.S) 2(1958), 329-331.

128

Theory of harmonic functions of classical domain I. Harmonic functions in the hyperbolic space of matrices. Acta Math. Sinica 8(1958), 531-547. II. Harmonic functions in the hyperbolic space of symmetric matrices. III. Harmonic functions in the hyperbolic space of skew symmetric matrices. Acta Math. Sinica 9(1959), 295-305,306-314.(all in Chinese) (with K.H. Look)

129

Theory of harmonic functions of classical domain. Sci. Sinica 8(1959), 1031-1094 (with K.H. Look)

130

Research works in mathematics in China from 1949-1959. By mathematics group with L. K. Hua and others. Sci. Sinica 8(1959),1218-1228; also Mathematical research in Communist China the past ten years. New York, U.S.A. Joint Publications Research Service, (1960), 91; also: A brief review of mathematical investigations in China for the last decade. Uspehi Mat. Nauk 15(1960), no. 3(93), 193-201.

131

Remarks concerning numerical intergration. Sci. Record (N.S) 4(1960), 8-11.(with Wang Yuan)

132

Calculation of deposit amount and hillside area on contour map. Acta Math. Sinica 10(1959), 19-40. (in Chinese)

133

Application of mathematical methods to wheat harvest. Acta Math. Sinica 11(1960), 63-75. (in Chinese)

133

On the calculation of mineral reserves and hillside areas on contour maps. Acta Math. Sinica 11(1961), 29-40. (in Chinese)

134

Sympletic similarity of symplectic matrices. J. Zhong Shan Univ. 4(1962), 1-12.

135

Real congruence of matrices. J. Zhong Shan Univ. 4(1962), 13-31.

136

Finiteness and infinity, discreteness and continuity. Ke Xue Tong Bao(1963), 4-21. (with Wang Yuan)

137

Introduction to generalized functions. Progress in Math. 6 (1963), 391-409.

138

On diophantine approximations and numerical integrations. (I)(II). Sci. Sinica 13(1964), 1007-1010.

139

Harmonic analysis on unitary group. Peking symposium Gen. 165(1964)15-32.

140

On an inequality of Opial. Sci. Sinica 14(1965), 789-790.

141

On an inequality of Harnack's type. Sci. Sinica 14(1965), 791.

142

On Lavrentiev's partial differential equation of the mixed type. Sci. Sinica 15(1965), 873-882.

143

On canonical form of system of differential equations of second order wiith constant coefficients in two variables and two unknown function. Ke Xue Tong Bao(1964), 1100-1103. (with Wu Zhi Qian and Lin Wei)

144

On uniqueness theorem of Dirichlet problem of system of partial differential equations of elliptic type of second order with constant codfficients. Acta Math. Sinica 15(1965), 242-248. (with Wu Zhi Qian and Lin Wei)

145

On the classification of the system of differential equations of the second order. Sci. Sinica 14(1965), 461-465.

146

Opening paper on partial differential equation of mixed type. J. of univ. of Sci. & Tech. China 1(1965), 1-27.

147

On numerical integration of periodic functions of several variables. Sci. Sinica 14(1965), 964-977. (with Wang Yuan)

148

On uniform distribution and numerical analysis (Number-theoretic method). Sci. Sinica (I) 16(1973), 483-505; (II) 17(1974), 331-348; (III) 18(1975), 184-198.

149

Optimum-seeking method of several variables. Ke Xue Tong Bao. (I) (II) 18 (1973), 165-166. (III) (IV) 19(1974), 317-319.

150

A note on simultaneous diophantine approxmations to algebraic integers. Sci. Sinica 20(1977), 563-567.