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1、ClayMathematicsProceedings7Volume7AnalyticNumberTheoryAnalyticNumberTheoryATributetoGaussandDirichletATributetoGaussandDirichletArticlesinthisvolumearebasedontalksgivenattheGauss–WilliamDukeDirichletConferenceheldinGöttingenonJune20–24,2005.Theconference
2、commemoratedthe150thanniversaryoftheYuriTschinkeldeathofC.-F.Gaussandthe200thanniversaryofthebirthofEditorsJ.-L.Dirichlet.ThevolumebeginswithadefinitivesummaryofthelifeandworkofDirichletandcontinueswiththirteenpapersbyleadingexpertsonresearchtopicsofcurr
3、entinterestinnumbertheorythatweredirectlyinfluencedbyGaussandDirichlet.Amongthetopicsarethedistributionofprimes(longarithmeticprogres-sionsofprimesandsmallgapsbetweenprimes),classgroupsofbinaryquadraticforms,variousaspectsofthetheoryofL-func-tions,thethe
4、oryofmodularforms,andthestudyofrationalandintegralsolutionstopolynomialequationsinseveralvariables.DukeandTschinkel,Editorswww.ams.orgAmericanMathematicalSocietyCMIP/7www.claymath.orgAMSCMIClayMathematicsInstitute4-colorprocess264pageson50lbstock•1/2inch
5、spineAnalyticNumberTheoryATributetoGaussandDirichletClayMathematicsProceedingsVolume7AnalyticNumberTheoryATributetoGaussandDirichletWilliamDukeYuriTschinkelEditorsAmericanMathematicalSocietyClayMathematicsInstitute2000MathematicsSubjectClassification.Pri
6、maryOlAxx,11Dxx,11Exx,11Mxx,11Nxx,14Gxx.ThecoverphotoofGustav-PeterLejeuneDirichletiscourtesyoftheMuhlenbergCollegeLibrary.LibraryofCongressCataloging-in-PublicationDataGauss-DirichletConference(2005:Gottingen,Germany)Analyticnumbertheory:atributetoGauss
7、andDirichlet:proceedingsoftheGauss-DirichletConference,Gottingen,Germany,June20-24,2005/WilliamDuke,YuriTschinkel,editors.p.em.-(Claymathematicsproceedings:v.7)Includesbibliographicalreferences.ISBN978-0-8218-4307-9(alk.paper)1.Numbertheory-Congresses.I.
8、Duke,William,1958-II.Tschinkel,Yuri.III.Title.QA241.G352005512.7-dc222007060818Copyingandreprinting.Materialinthisbookmaybereproducedbyanymeansforedu•cationalandscientificpurposeswithoutfeeorpermissionwiththeexceptionofrep
