个人简介
一.简介(AboutMe)
IamcurrentlyanassociateProfessorofDepartmentofMathematicsatChinaThreeGorgesUniversity.IgotmyphdfromFudanUniversityandIwasavisitingscholarofUniversityofIllinoisatUrbana-ChampaignfromMarchof2015toAugustof2015.AfterthatIspentoneyearasapostdocattheJohannesKeplerUniversityinLinzofAustria.
二.教学(Teaching)
1.主讲课程(Courses)
Linearalgebra,ProbabilityandStatistics,Abstractalgebra,MatrixAnalysisetc
研究领域
研究方向(ResearchInterests):
Numberespeciallyonellipticmodularforms,Siegelmodularforms,thetaseriesandtheirapplicationstopartitions.
科研项目(ResearchGrants):
NationalScienceFoundationofChina:No.11101238,modularforms,thetafunctionsandarithmeticpropertiesofspecialpartitionfunctions,PI,RMB210,000.
近期论文
查看导师新发文章
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1.XinhuaXiong,Thenumberofcubicpartitionsmodulopowersof5,ScienceChinainMathematics,41(2011),no.1,pp.1--15.
2.XinhuaXiong,Twoidentitiesinvolvingthecubicpartitionfunction,Int.J.NumberTheory,7(2011),no.6,pp.1615–1626.
3.XinhuaXiong,TwocongruencesinvolvingAndrews-Paule'sbroken3-diamondpartitionsand5-diamondpartitions,Proc.JapanAcad.Ser.A:Math.Sci.,87(2011),no.5,pp.65–68.
4.XinhuaXiong,Ashortproofofanidentityforthecubicpartitionfunction,Commun.KoreanMath.Soc.,26(2011),no.4,pp.551–555.
5.XinhuaXiong,Overpartitionfunctionmodulo16andsomebinaryquadraticforms,Int.J.NumberTheory,12(2016),no.5,pp.1195--1208.
6.XinhuaXiong,AnoteonaconjectureofAndrews-Chan-Kim-Osburn,Proc.JapanAcad.Ser.A:Math.Sci.,92(2016),no.11,pp.117--120.
7.XinhuaXiong,Overpartitionsandternaryquadraticforms,TheRamanujanJournal,42(2017),no.2,pp.429--442.
8.XinhuaXiong,AcharacterofSiegelmodulargroupoflevel2fromthetaconstants,Proc.JapanAcad.Ser.A:Math.Sci.,100(2017),no.7,pp1--5.
9.XinhuaXiong,SmallvaluesofcoefficientsofahalfLerch-sum,Int.J.NumberTheory,2018,DOI:10.1142/S1793042117501366.
10.XinhuaXiong,WilliamKeith,Euler'spartitiontheoremforallmoduliandnewcompanionstoRogers-Ramanujan-Andrews-Gordonidentities,JournalofNumberTheory,2018
学术报告(PresentationsandInvitedTalks)
1.Somequestionsinmodularformsandpartitions,July15,2014,PekingUniversity.
2.Overpartitionsmodulo16revised,April21,2015,NumberTheorySeminar,UniversityofIllinoisatUrbana-Champaign,USA.
3.Twoquestionsonpartitions,May2,2016,SFBMeetingatRISCatJohannesKeplerUniversityLinz,Hagenberg,Austria.
4.SmallvaluesofahalfLerch-sum,May11,2016,AECseminaratRISCatJohannesKeplerUniversityLinz,Hagenberg,Austria.
5.Topicsonpartitionanalysis,November29,2016,SFBMeetingatStrobl,Austria.
6.Thetafunctions:geometryandarithmetic.December7,2016,AECseminaratRISCatJohannesKeplerUniversityLinz,Hagenberg,Austria.
学术兼职
ReviewerfortheAmericanMathematicalSocietyMathematicaReviewsDatabase.