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OALib Journal期刊
ISSN: 2333-9721
费用：99美元
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sárk？zy的一个加法剩余类问题
, PP. 10-14
Keywords: 加法,剩余类,偶数模,sárk？,zy问题
Abstract:
关于a+b以及a+^b的性质问题,一直是数论与组合数学中的困难课题和重要问题.本文首先指出,在一般情况下,关于sárk？zy的一个加法剩余类猜想的答案是否定的.其次,对于模偶数m的既约剩余系,利用cauchy-davenport定理,给出当m=2p,2kp(k≥2)时该问题的两个初步的结果,这里p为素数.最后,提出一些待研究的问题和猜想.
| [1] | guyrk.unssolvedproblemsinnumbertheory[m].newyork:springerverlag,2004.
|
| [2] | taot,vuv.additiveeombinatorics[m].cambridge:cambridgeuniversitypress,2006.
|
| [3] | erdösp,sárközya,sósvt.onadditivepropertiesofgeneralsequences[j].discretemath,1994,136:75-99.
|
| [4] | tangm,chenyg.onadditivepropertiesofgeneralsequences[j].bullaustralmathsoc,2005,71:479-485.
|
| [5] | chenyg,sárközya,sósvt,etal.onthemonotonicitypropertiesofadditiverepresentationfunctions[j].bullaustralmathsoc,2005,72:129-138.
|
| [6] | cauchyal.recherchessurlesnombres[j].jecolepolytech,1813,9:99-116.
|
| [7] | davenporth.ontheadditionofresidueclasses[j].jlondonmathsoc,1935,10:30-32.
|
| [8] | pollardjm.ageneralisationofthetheoremofcauchyanddavenport[j].jlondonmathsoc,1974,8:460-462.
|
| [9] | pollardjm.additionpropertiesofresidusclasses[j].jlondonmathsoc,1975,11:147-152.
|
| [10] | mannhb.additiontheorems:theadditiontheoremsofgrouptheoryandnumbertheory[m].newyork:intersciencepubl,1965.
|
| [11] | nathansonm.additivenumbertheory:inverseproblemsandthegeometryofsumsets[m].newyork:springer-verlag,1996.
|
| [12] | erdösp,heilbronnh.ontheadditionofresidueclassesmodp[j].actaarith,1964,9:149-159.
|
| [13] | rodseth�ysteinj.sumsofdistinctresiduesmodp[j].actaarith,1993,25(2):181-184.
|
| [14] | diasdasilvaja,hamidouneyo.cyclicspacesforgrassmannderivativesandadditivetheory[j].bulllondonmathsoc,1994,26(2):140-146.
|
| [15] | vosperag.thecriticalpairsofsubsetsofagroupofprimeorder[j].jlondonmathsoc,1956,31:200-205.
|
| [16] | kneserm.einsatzüberabelschegruppenmitanwendungenaufdiegeometriederzahlen[j].mathz,1955,64:429-434.
|
| [17] | károlyig.acompactnessargumentintheadditivetheoryandthepolynomialmethod[j].discretemath,2005,302(1/3):124-144.
|
| [18] | hamidouneyo,rodseth�ysteinj.aninversetheoremmodp[j].actaarith,1993,25(2):181-184.
|
| [19] | diasdasilvaja,hamidouneyo.cyclicspacesforgrassmannderivativesandadditivetheory[j].bulllondonmathsoc,1994,26(2):140-146.
|
| [20] | vosperag.thecriticalpairsofsubsetsofagroupofprimeorder[j].jlondonmathsoc,1956,31:200-205.
|
| [21] | kneserm.einsatzüberabelschegruppenmitanwendungenaufdiegeometriederzahlen[j].mathz,1955,64:429-434.
|
| [22] | károlyig.acompactnessargumentintheadditivetheoryandthepolynomialmethod[j].discretemath,2005,302(1/3):124-144.
|
| [23] | hamidouneyo,rodseth�ysteinj.aninversetheoremmod.actaarith,2000,92(3):251-262.
|
| [24] | hamidouneyo,serrao,zémorg.onthecriticalpairtheoryinz/pz[j].actaarith,2006,121(2):99-15.
|
| [25] | károlyig.aninversetheoremfortherestrictedsetadditioninabeliangroups[j].jalgebra,2005,290(2):557-593.
|
| [26] | levvf.restrictedsetadditioningroups.ⅰ.theclassicalsetting[j].jlondonmathsoc,2000,62(1):27-40.
|
| [27] | bourgainj.roth’stheoremonprogressionsrevisited[j].janalmath,2008,104(1):155-192.
|
| [28] | vuvh,woodpm.theinverseerdös-heilbronnproblem[j].theelectronicjournalofcombinatorics,2009,16(1):r100.
|
| [29] | chowlai.atheoremontheadditionofresidueclasses[j].procindianacadsci,1935,2:242-243
|
| [30] | sárközya.unsolvedproblemsinnumbertheory[j].periodicamathhungar,2001,42:17-35.
|
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