潘承洞论文着作

论文

On(n)and(n),Bull.Acad.Polon.Sci.Cl.III,4(1956),637-638.

On(n)and(n),ActaSci.Nat.Univ.Pekinensis,2(1956),303-322.(inChinese)

OntheLeastPrimeinanArithmeticalProgression,Sci.Record,NewSeries,1(1957),311-313(inEnglish)￡?283-285.(inChinese)

OntheLeastPrimeinanArithmeticalprogression,ActaSci.Nat.Univ.ekinensis,4,1(1958),1-34.(inChinese)

SomeNewResultsonAdditiveTheoryofPrimeNumbers,ActaMath.Sin.,9(1959),315-329.(inChinese)

OntheNumericalIntegrationofaKindofMultipleIntegrals,Sci.Record,NewSeries,3(1959),534-537(inEnglish)430-432.(inChinese)

OntheEstablishmentoftheFundamentalEquationofFlatSkulls,ActaSci.Nat.Univ.Shandong,1961.

OnRepresentationofEvenNumbersastheSumofaPrimeandanAlmostPrime,ActaMath.Sin.,12(1962),95-106(inChinese);Sci.Sin.,11(1962),873-888.(inRussian)

OnRepresentationofLargeEvenNumbersastheSumofaPrimeandaProductofatmostfourprimes,ActaSci.Nat.Univ.Shangdong,1962,no.2,40-62(inChinese);Sci.Sin.,12,(1963),455-473.(inRussian)

GeneralizedCauchyFormula,J.ShandongUniv.,1962,9-13.(inChinese)OnDirichletFunctions(Russian),Sci.Sinica,12(1963),615.

OntheK-thMeanValueoftheClAssNumbersofImaginaryPrimitiveQuadraticforms,Sci.Sinica,12(1963),737-738.(inRussian)

OntheLeastPrimeinAnArithmeticProgression,ActaSci.Nat.Univ.Shandong,1963,22-42.(inChinese)

AnoteontheLargeSieveMethodandItsApplications,ActaMath.Sin.,13(1963),262-268.(inChinese)

NewApplicationofLinnik'sLargeSieveMethod,Sci.Sini.,13(1964),497-508.

NewApplicationofYu.V.Linnik'sLargeSieveMethod,ActaMath.Sin.,14(1964),597-606(inChinese);Sci.Sin.,13(1964),1045-1053.(inRussian)

OntheK-thMeanValueoftheClAssNumbersofImaginaryPrimitiveQuadraticForms,ActaSci.Nat.Univ.Shandong,1963.(inChinese)

OntheDistributionofZerosoftheRiemannZetaFunction,ActaSci.Nat.Univ.Shandong,1964.(inChinese)

OntheZerosoftheZetaFunctionofRiemann,Sci.Sinica,14(1965),303-305.

SplineFunctionandItsApplications(I),数学的实践与认识,1975,no.3,64-75.(inChinese)

SplineFunctionandItsApplications(II),ibid.1975,no.4,56-77.(inChinese)

SplineFunctionandItsApplications(III),ibid.1976,no.1,63-78.(inChinese)

SplineFunctionandItsApplications(IV),ibid.1976,no.2,59-73.(inChinese)

OnRepresentationofEvenNumbersastheSumofaPrimeandanAlmostPrime(withDingXiaxi,WangYuan),Sci.Sin.,18(1975),599-610.

OnRepresentationofEvenNumbersastheSumofaPrimeandanAlmostPrime(withDingXiaxi,WangYuan),ChineseSci.Bul.,20(1975),358-360.(inChinese)

AMeanvalueTheorem(withDingXiaxi),ActaMath.Sin.,18(1975),254-262.(inChinese)

OnRepresentationofLargeEvenNumbersastheSumofaPrimeandanAlmostPrime(withWangYuanandDingXiaxi),ActaSci.Nat.Univ.Shandong,1975.

Correctionto'AMeanvalueTheorem'(withDingXiaxi),ActaMath.Sin.,19(1976),217-218.(inChinese)

GoldbachProblem,ActaSci.Nat.Univ.Shandong,1978,46-53.(inChinese)

ANewMeanValueTheorem(withDingXiaxi),Sci.Sinica,SpecialIssues(II),2(1979),149-161.

OntheExceptionalSetofGoldbach'sNumbers(withChenJingren),ActaSci.Nat.Univ.Shandong,1979,1-27(inChinese);Sci.Sin.,23(1980),219-232(inChinese);Sci.Sin.,23(1980),416-430.(inEnglish)

ANewMeanValueTheoremandItsApplications,RecentProgressinAnalyticNumberTheory(edit.H.Halberstam),vol.1,275-287.AcademicPress,London,1981.

ANewMeanValueTheoremandItsApplications,Chin.Ann.ofMath.,1:1(1980),149-160.

GoldbachNumbers,ChineseSci.Bull.,SpecialIssue,1980,71-73.(inChinese)

OntheMinorArcsofGoldbachProblem,ActaSci.Nat.Univ.Shandong,1980,1-4.(inChinese)

OnGoldbachProblem,ActaSci.Nat.Univ.Shandong,1981,1-6.(inChinese)

ANewAttemptonGoldbachConjecture,Chin.Ann.ofMath.,3:4(1982),555-560.

AnEstimateofTrigometricSums,ActaSci.Nat.Univ.Shandong,1982,19-23.(inChinese)

OnEstimationofTrigometricSumsoverPrimesinShortIntervals(I)(withPanChengbiao),Sci.Sinica,31(1988),1121-1128(inChinese);32(1989),408-416.(inEnglish)

AnalyticNumberTheoryinChina(II),(withPanChengbiao,XieShenggang),AMS,ContempararyMath.,77(1988),19-62.

OnEstimationofTrigometricSumsoverPrimesinShortIntervals(II)(withPanChengbiao),Sci.Sinica,32(1989),641-653.

OnEstimationofTrigometricSumsoverPrimesinShortIntervals(III)(withPanChengbiao),Chin.Ann.ofMath.,11B:2(1990),138-147.

OnRepresentationofOddNumbersasSumofThreeAlmostEqualPrimes(withPanChengbiao),ActaSci.Nat.Univ.Sichuan,SpecialIssue,1990,172-183.

人物着作

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（与潘承彪合着），科技出版社,，北京，1979。

3.阶的估计（与于秀源合着），山东科技出版社，济南，1984。

4.素数定理的初等证明（与潘承彪合着），上海科技出版社，上海,1988。

5.解析数论基础（与潘承彪合着），科技出版社，北京，1991。

6.初等代数数论（与潘承彪合着），山东大学出版社，济南，1991。

7.GoldbachConjecture（withPanChengbiao），SciencePress,Beijing,，1992。

8.初等数论（与潘承彪合着），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（与潘承彪合着），北京大学出版社，北京，1997。