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1、ONTHECONGRUENCE2~(n-k)≡1(modn)，ChineseScienceBulletin，1988/13。关于同余式2~(n-k)≡1(modn)，科学通报，1988/05。
2、（和曾庆宗）可用计算机实现的两个武术数学模型，成都体育学院学报，1989/02。
3、关于同余式a~(n-k)≡1(modn)，四川大学学报(自然科学版)，1988/04。
4、关于丢番图方程X~2+4P~m-1=4P~n，铁道科学与工程学报，1989/03。
5、OntheDiophantineEquationsax~n-1/ax-1=y~2andax~n+1/ax+1=y~2,数学进展,1989/03.
6、Sun,Qi;Yuan,PingZhiOntheDiophantineequations$(ax\spn-1)/(ax-1)=y\sp2$and$(ax\spn+1)/(ax+1)=y\sp2$.(Chinese)SichuanDaxueXuebao26(1989),SpecialIssue,20--24.
7、关于幂数问题的一个Golomb猜想,数学研究与评论,1989/03.
8、有关幂数的几个问题,四川大学学报(自然科学版),1989/03.
9、A.Rotkiewiez问题的推广,铁道科学与工程学报,1991/01.
10、本原大素因子和Selfridge问题,铁道科学与工程学报,1992/03.
11、关于三角形的一个猜想的解答,中学数学,1993/11.
12、关于矩阵迹的Bellman问题,铁道科学与工程学报,1993/01.
13、余新河数学题的一个结果,铁道科学与工程学报,1993/04.
14、Pillai猜想的一点注记,湖南理工学院学报(自然科学版),1993/02.
15、Yuan,PingZhiOnaspecialDiophantineequation$a{x\choosen}=by\spr+c$.Publ.Math.Debrecen44(1994),no.1-2,137--143.
16、Graham猜测的一点注记,益阳师专学报,1994/06.
17、关于四项指数不定方程ap_1~(x_1)…P_r~(x_r)+bq_1~(y_1)…q_s~(y_s)=c+d(p_1…p_r)~z(q_1…q_s)~w,岳阳师范学院学报(自然科学版),1994/Z1.
18、Pell方程的一个新性质和应用,长沙铁道学院学报,1994/03.
19、陈新明，袁平之，常系数非齐次线性微分方程求特解的递推公式,长沙铁道学院学报,1994/02.
20、Diophantus方程x~2－Dy~2＝－1的可解性,长沙铁道学院学报,1994/01.
21、(withSunQi,HanQing)AquestionaboutAurifeuillianfactorizations,ChineseScienceBulletin,1995/20.关于Aurifeuillian分解的一个问题,科学通报,1995/10.
22、关于丢番图方程x~2=4p~m+4p~n+1,岳阳师范学院学报(自然科学版),1995/01.
23、S．Chowla的一个猜想的几点注记,长沙铁道学院学报,1995/01.
24、关于自然数乘法分拆数的一个猜想,湖南教育学院学报,1996/05.
25、关于丢番图方程的一个注记,数学学报,1996/02.
26、关于Pell方程的一个猜想,数学年刊A辑(中文版),1996/03.
27、Sun,Qi;Yuan,Ping-ZhiOnthenumberofsolutionsofdiagonalequationsoverafinitefield.FiniteFieldsAppl.2(1996),no.1,35--41.
28、$D$-invariantsandthesolvabilityof$kx\sp2-ly\sp2=1,2$.Japan.J.Math.(N.S.)22(1996),no.2,355--361.
29、Sun,Qi;Yuan,Ping-Zhi，OntheDiophantineEquationx~4-Dy~2=1,数学进展,1996/01.30、Rationalandalgebraicapproximationsofalgebraicnumbersandtheirapplication,ScienceinChina,Ser.A,1997/10.代数数的有理和代数逼近及应用,中国科学A辑,1997/09.
31、关于素数幂的一条表示定理,益阳师专学报,1997/06.
32、Scott的一个猜想及相关问题,淮北煤师院学报(自然科学版),1997/01.
33、(withSunQi)关于不定方程x~4-Dy~2=1的一个注记,四川大学学报(自然科学版),1997/03.
34、CM域、单位与不定方程,四川大学学报(自然科学版),1997/02.
35、也谈实二次域类数的可除性,数学学报,1998/03.
36、关于方程xy+yz+zx=n的正整数解,数学年刊A辑(中文版),1998/06.
37、直径为4的整树,系统科学与数学,1998/02.
38、关于方程x~2-D=p~n的解数(英文),四川大学学报(自然科学版),1998/03.
39、关于丢番图方程x~2+b~y=c~z,四川大学学报(自然科学版),1998/01.
40、Yuan,Pingzhi;Wang,JiabaoOntheDiophantineequation$x\sp2+b\spy=c\spz$.ActaArith.84(1998),no.2,145--147.
41、F-L序列的表示,长沙铁道学院学报,1998/04.
42、(withChenXuesheng)Eisenstein判别法的推广,长沙铁道学院学报,1998/03.
43、关于丢番图方程ax~2+by~2=cP~n,数学年刊A辑(中文版),1999/02.
44、(withXiaoGuoneng)关于一类数论函数方程的解,长沙铁道学院学报,1999/01.
45、几个未解决的不定方程问题,数学研究与评论,2000/04.
46、方程xy+yz+zx=n的正整数解,数学学报,2000/03.
47、广义Lucas序列与不定方程(Ⅰ)数学学报,2000/01.
48、Sun,Qi;Ren,Debin;Hong,Shaofang;Yuan,Pingzhi;Han,QingAnewclassofAurifeuillianfactorizationsof$M\spn±1$.Sci.Math.2(1999),no.3,353--360。
49、（withLinJun）二次方程ax~4+bx~2y~2+dy~4=cz~2的可解性(英文),四川大学学报(自然科学版),2000/04。
50、广义Lucas序列的重复度与相关的不定方程的解数,高校应用数学学报A辑(中文版),2000/03.
51、(withLuoJiagui)关于一类高次不定方程的解,数学研究与评论,2001/01.
52、Ren,Debin;Sun,Qi;Yuan,PingzhiNumberofzerosofdiagonalpolynomialsoverfinitefields.DedicatedtoProfessorChaoKoontheoccasionofhis90thbirthday.FiniteFieldsAppl.7(2001),no.1,197--204.
53、(withLuoJiagui)关于不定方程x~2-Dy~4=1,四川大学学报(自然科学版),2001/03
54、(withXiaoGuoneng,LiuWeijun,LiMaosheng)一类密码体制的完全保密性,长沙铁道学院学报,2001/03.
55、(withWangJiabao,LiMaosheng)矩阵特征值内插定理的拓广,长沙铁道学院学报,2001/02.
56、Tijdeman,R.;Yuan,PingzhiOntherationalityofCantorandAhmesseries.Indag.Math.(N.S.)13(2002),no.3,407--418.
57、AnoteonthedivisibilityofthegeneralizedLucassequences.FibonacciQuart.40(2002),no.2,153--156.
58、OnthenumberofsolutionsofsimultaneousPellequations.ActaArith.101(2002),no.3,215--221.
59、Onalgebraicapproximationsofcertainalgebraicnumbers.J.NumberTheory102(2003),no.1,1--10.
60、Lehmer序列中的平方数,数学学报,2003/05.
61、(withJiangZhengtao)和整树相关的一个联立不定方程,长沙铁道学院学报,2003/01.
62、AconjectureonEulernumbers.Proc.JapanAcad.Ser.AMath.Sci.80(2004),no.9,180--181.
63、Integersnotoftheform$c(2\spa+2\spb)+p\sp\alpha$.ActaArith.115(2004),no.1,23--28.
64、SimultaneousPellequations.ActaArith.115(2004),no.2,119--131.
65、Onthenumberofsolutionsof$x\sp2-4m(m+1)y\sp2=y\sp2-bz\sp2=1$.Proc.Amer.Math.Soc.132(2004),no.6,1561--1566。
66、(withHuYongzhong)指数丢番图方程a~x+b~y=c~z,数学学报,2005/06.
67、关于丢番图方程Dx~2+1=ca~n(英文),黑龙江大学自然科学学报,2005/02.
68、(withLuoJagui)Lehmer序列中的平方数与平方类,数学学报,2005/04.
69、YuanPingzhi，Yahui,HuAnoteonpowerresiduedifferencesets.J.Algebra291(2005),no.1,269--273.
70、OntheDiophantineequation$\frac{x\sp3-1}{x-1}=\frac{y\spn-1}{y-1}$.J.NumberTheory112(2005),no.1,20--25.
71、Yuan,PingZhi;Chen,HaiBoTwoinequalitiesforconvexfunctions.ActaMath.Sin.(Engl.Ser.)21(2005),no.1,193--196.
72、Yuan,Pingzhi;Hu,YongzhongOntheDiophantineequation$x\sp2+D\spm=p\spn$.J.NumberTheory111(2005),no.1,144--153.
73、Yuan,PingzhiOntheDiophantineequation$ax\sp2+by\sp2=ck\spn$.Indag.Math.(N.S.)16(2005),no.2,301--320.
74、Chen,Xuesheng;Yuan,PingzhiAnoteonKneser'stheorem.JPJ.AlgebraNumberTheoryAppl.6(2006),no.1,77--83.
75、(withChenXuesheng)Kemperman结构定理之推广,数学学报,2006/06.(withLuoJiagui)Lucas序列中的平方类,数学进展,2006/02.
76、(withChenBo)Hecke群的同余子群,中山大学学报(自然科学版),2007/06.
77、Yuan,PingzhiOntheindexofminimalzero-sumsequencesoverfinitecyclicgroups.J.Combin.TheorySer.A114(2007),no.8,1545--1551.
78、Li,Zhigang;Xia,Jianye;Yuan,PingzhiOnsomespecialformsofsimultaneousPellequations.ActaArith.128(2007),no.1,55--67.
79、Hu,Yahui;Yuan,Pingzhi;Liu,WeijunThe$k$-exponentsofprimitive,nearlyreduciblematrices.ArsCombin.83(2007),47--63.
80、Luo,Jiagui;Yuan,PingzhiSquare-classesinLehmersequenceshavingoddparametersandtheirapplications.ActaArith.127(2007),no.1,49--62.
81、Hu,Yahui;Yuan,Pingzhi;Chen,XueshengThegeneralizedexponentsetsofprimitive,minimallystrongdigraphs.I.ArsCombin.82(2007),97--124.
82、(withLiZhigang)一类不定方程组的解的个数,数学学报,2007/06.
83、(withJiangZhentao)对分圆子群中元素表示的几个结果的改进,通信学报,2007/01
84、Xia,JianYe;Yuan,PingZhiOntheTerai-Jésmanowiczconjecture.ActaMath.Sin.(Engl.Ser.)24(2008),no.12,2061--2064.
85、Chen,Bo;Yuan,PingzhiNormalcongruencesubgroupsofHeckegroups.AlgebraColloq.15(2008),no.4,707--720.
86、Saltzman,PeterW.;Yuan,PingzhiOnsumsofconsecutiveintegralroots.Amer.Math.Monthly115(2008),no.3,254--261.
87、Zhuang,Jujuan;Yuan,PingzhiMinimalzero-sumsequencesinfinitecyclicgroups.TaiwaneseJ.Math.13(2009),no.3,1007--1015.
88、Chen,Bo;Yuan,PingZhiCongruencesubgroupsofHeckegroups.ActaMath.Sin.(Engl.Ser.)25(2009),no.6,931--944.
89、Ding,CunSheng;Xiang,Qing;Yuan,Jin;Yuan,PingZhiExplicitclassesofpermutationpolynomialsof$\BbbF\sb{3\sp{3m}}$.Sci.ChinaSer.A52(2009),no.4,639--647.
90、Yuan,PingzhiSubsequencesumsofazero-sumfreesequence.EuropeanJ.Combin.30(2009),no.2,439--446.
91、PingzhiYuanandXiangnengZeng,AnewresultonDavenportconstant,JournalofNumberTheory,129(2009),3026-3028.
92、MichaelStoll,P.G.WalshandPingzhiYuan,OntheDiophantineequation,ActaArith.139(2009),57-63.
93、PingzhiYuanandLiYuan,SquaresinLehmersequencesandtheDiophantineequation,ActaArith.139(2009),275-302.
94、PingzhiYuan,Subsequencesumsofazero-sum-freesequences,ElectronicJournalofCombinatorics,16(2009),#97.
95、SubsequenceSumsofZero-sum-freeSequences,theelectronicjournalofcombinatorics16(2009),#R97.
96、(withZengXiangneng)AnewresultonDavenportconstant,JournalofNumberTheory129(2009)3026–3028.
97、Yuan,Pingzhi;Li,YuanOntheDiophantineequation$y^2=px(Ax^2-2)$.JPJ.AlgebraNumberTheoryAppl.14(2009),no.2,185--190.
98、Hu,YongZhong;Yuan,PingZhiTheDiophantineequationsystem$a^2+b^2=c^3$and$a^x+b^y=c^z$.(Chinese)ActaMath.Sinica(Chin.Ser.)52(2009),no.5,1027--1032.
99、(withHu,YongZhong)Jeśmanowícz'sconjectureconcerningPythagoreannumbers.(Chinese)ActaMath.Sinica(Chin.Ser.)53(2010),no.2,297—300
100、(withZhangZhongfeng)Squaresin$\prod^n_{k=1}(ak^2+bk+c)$.(Chinese)ActaMath.Sinica(Chin.Ser.)53(2010),no.1,199—204
101、(withLi,ZhiGang)TheDiophantineequations$(a-1)x^2+(91a+9)=4a^n$.(Chinese)ActaMath.Sinica(Chin.Ser.)53(2010),no.1,37--44.
102、(withHuYongzhong)OntheDiophantineequation$ax^2+(3a+1)^m=(4a+1)^n$.Bull.Math.Soc.Sci.Math.Roumanie(N.S.)53(101)(2010),no.1,51--59.
103、Luo,Jiagui;Yuan,PingzhiAgeneralizationofthequestionofSierpińskiongeometricprogressions.J.IntegerSeq.13(2010),no.3,Article10.3.4,14pp.
104、Yuan,Pingzhi;Luo,JiaguiThreetriangularnumberscontainedingeometricprogression.Funct.Approx.Comment.Math.42(2010),,part1,59--65
105、Yuan,PingzhiMoreexplicitclassesofpermutationpolynomialsof$\BbbF_{3^{3m}}$.FiniteFieldsAppl.16(2010),no.2,88--95.
106、Yuan,Pingzhi;Zeng,XiangnengDavenportconstantwithweights.EuropeanJ.Combin.31(2010),no.3,677--680.
107、Xia,Xingwu;Yuan,PingzhiIndexesofunsplittableminimalzero-sumsequencesoflength$\BbbI(C_n)-1$.DiscreteMath.310(2010),no.5,1127--1133.
108、袁平之，张中峰，OntheDiophantineequationScienceChinaMath53(2010),2143-2158.SCI
109、PingzhiYuan,JiaguiLuo,OntheDiophantineequation.ActaArith.144(2010),no.1,69–95.SCI
110、Guan,HuanHuan;Zeng,XiangNeng;Yuan,PingZhiDescriptionoftheinvariantofzero-sum-freesequence.(Chinese)中山大学学报49(2010),no.3,1–4.EI
111、袁平之，张中峰，丢番图方程$ax^4-by^2=1$,数学学报，3（2010），443-454。
112、YuanlinLi，C.Plyley，PingzhiYuan,X.Zeng,Minimalzerosumsequencesoflengthfouroverfinitecyclicgroups,J.NumberTheory,130(2010)2033-2048.SCI
113、袁平之，曾祥能，Onzero-sumfreesubsetsoflength7,theelectronicjournalofcombinatorics,17(2010)#104.SCI
114、(withB.He,A.Togbe)OntheDiophantineequation$X^2-(p^{2m}+1)Y^6=-p^{2m}.FunctionesetApproximatioCommentariiMathematiciVolume43,Number1(2010),31-44.
115、Zeng,Xiangneng;Yuan,Pingzhi,Twoconjecturesonanadditiontheorem.ActaArith.148(2011),no.4,395–411.
116、Yuan,Pingzhi;Hu,YongzhongOntheDiophantineequationx2−kxy+y2+lx=0,l2{1,2,4}.Comput.Math.Appl.61(2011),no.3,573–577.
117、Zeng,Xiangneng;Yuan,Pingzhi,WeightedDavenport’sconstantandtheweightedEGZtheorem.DiscreteMath.311(2011),no.17,1940–1947.
118、Guan,Huanhuan;Yuan,Pingzhi;Zeng,Xiangneng,Normalsequencesoverfiniteabeliangroups.J.Combin.TheorySer.A118(2011),no.4,1519–1524.
119、Luo,Jiagui;Togb´e,Alain;Yuan,PingzhiOnsomeequationsrelatedtoMa’sconjecture.Integers11(2011),A27,11pp.
120、JiaguiLuoandPingzhiYuan,OntheDiophantineequation,ActaMath.Hungar.,133(4)(2011),342–358.
121、A.TogbéandP.Yuan,OnavariantofaDiophantineequationofCassels,46(2)(2011),325-331.
122、GuixinDengandPingzhiYuan,SymmetricDigraphsfromPowersModulon,OpenJournalofDiscreteMathematics,2011,1,103-107.
123、PingzhiYuanandCunshengDing,PermutationpolynomialsoverfinitefieldsfromapowerfulLemma,FiniteFieldsandTheirApplications17(2011)560–574
124、PingzhiYuanandXiangnengZeng,Anoteonlinearpermutationpolynomials,FiniteFieldsandTheirApplications,17(2011),488-491.
125、GuixinDengandPingzhiYuan,IsomorphicDigraphsfrompowersmoduluop,CzechoslovakMathematicalJournal,136(61)(2011),771-779.
126、PingzhiYuanandYuanLi,TheTranscendenceofAlternatingSeriesofRationalFunctions,Int.J.ofDiophantineApproximationandNumberTheory,Vol.1,No.1,June2011,5-21
127.Deng,Guixin;Yuan,PingzhiOnthesymmetricdigraphsfrompowersmodulon.DiscreteMath.312(2012),no.4,720–728.
128.Zhang,Zhongfeng;Yuan,PingzhiOntheDiophantineequation.Int.J.NumberTheory8(2012),no.3,813–821.
129.Yuan,Pingzhi;Zhang,ZhongfengOntheDiophantineequation.Publ.Math.Debrecen80(2012),no.3-4,327–331.
130.Feng,Li;Yuan,PingZhiAclassofquadraticDiophantineequations.(Chinese)J.SouthChinaNormalUniv.Natur.Sci.Ed.44(2012),no.2,46–47.
131.Zhang,Zhongfeng;Luo,Jiagui;Yuan,PingzhiOntheDiophantineequation.Colloq.Math.128(2012),no.2,277–285.
132.Geroldinger,Alfred;Yuan,PingzhiThesetofdistancesinKrullmonoids.Bull.Lond.Math.Soc.44(2012),no.6,1203–1208.
133.Deng,Guixin;Yuan,PingzhiOnacombinatorialconjectureofTuandDeng.Integers12(2012),PaperNo.A48,9pp.
134.Geroldinger,Alfred;Yuan,PingzhiThemonotonecatenarydegreeofKrullmonoids.ResultsMath.63(2013),no.3-4,999–1031.
135.Feng,Li;Yuan,Pingzhi;Hu,YongzhongOntheDiophantineequation.Integers13(2013),PaperNo.A8,8pp.
136.Zhang,ZhongFeng;Luo,JiaGui;Yuan,PingZhiTheDiophantineequation.(Chinese)ChineseAnn.Math.Ser.A34(2013),no.3,279–284.
137.Zhang,Zhongfeng;Yuan,PingzhiAnoteonaconjectureofErdős,Graham,andSpencer.Integers13(2013),PaperNo.A76,6pp.
138.Guan,HuanHuan;Yuan,PingZhiStructureofunsplittableatomsover
C
2
⊕
C
2n
.(Chinese)ActaSci.Natur.Univ.Sunyatseni52(2013),no.5,78–81.
139.Yuan,PingzhiAnupperboundforthenumberofoddmultiperfectnumbers.Bull.Aust.Math.Soc.89(2014),no.1,1–4.
140.Yuan,Pingzhi;Zhang,ZhongfengAdditionto`Anupperboundforthenumberofoddmultiperfectnumbers'[MR3162998].Bull.Aust.Math.Soc.89(2014),no.1,5–7.
141.Yuan,Pingzhi;Ding,CunshengFurtherresultsonpermutationpolynomialsoverfinitefields.FiniteFieldsAppl.27(2014),88–103.
142.Deng,Guixin;Yuan,PingzhiOnthestructureof
G(H,k)
.AlgebraColloq.21(2014),no.2,317–330.
143.Yuan,Pingzhi;He,Zilong;You,LihuaAconjectureontheprimitivedegreeoftensors.LinearAlgebraAppl.450(2014),175–185.
144.Miyazaki,Takafumi;Yuan,Pingzhi;Wu,DanyaoGeneralizationsofclassicalresultsonJeśmanowicz'conjectureconcerningPythagoreantriplesII.J.NumberTheory141(2014),184–201.
145.Luo,JiaGui;Yuan,PingZhiOnthesolutionsofasystemoftwoDiophantineequations.Sci.ChinaMath.57(2014),no.7,1401–1418
146.Yuan,Pingzhi;Ding,CunshengPermutationpolynomialsoftheformover.FiniteFieldsAppl.29(2014),106–117.
147.Yuan,Pingzhi;You,LihuaOnthesimilarityoftensors.LinearAlgebraAppl.458(2014),534–541.
148.Yuan,Pingzhi;You,LihuaSomeremarksonand
B
0
tensors.LinearAlgebraAppl.459(2014),511–521
149.Yuan,PingzhiSubsequencesumsofzero-sumfreesequencesII.ArsCombin.116(2014),433–444.
150.Guan,HuanHuan;Yuan,PingZhiStructureofzero-sumfreesequencesover.(Chinese)ChineseAnn.Math.Ser.A35(2014),no.2,211-214;translationinChineseJ.Contemp.Math.35(2014),no.2,181–192
151.Yuan,Pingzhi;He,Zilong;Zhou,JunyiOnthesumofreciprocalgeneralizedFibonaccinumbers.Abstr.Appl.Anal.2014,Art.ID402540,4pp
152.Li,Yuanlin;Parmenter,M.M.;Yuan,PingzhiOncleangrouprings.J.AlgebraAppl.14(2015),no.1,1550004,11pp.
153.He,Zilong;Yuan,Pingzhi;You,LihuaOntheexponentsetofnonnegativeprimitivetensors.LinearAlgebraAppl.465(2015),376–390.
154.Ding,Cunsheng;Qu,Longjiang;Wang,Qiang;Yuan,Jin;Yuan,PingzhiPermutationtrinomialsoverfinitefieldswithevencharacteristic.SIAMJ.DiscreteMath.29(2015),no.1,79–92.
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