kfree指数函数的均值问题.pdf

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1、ü“è10445ÆÒ2011020720©aÒO156.4ïÄ)aOF›ìÀ“‰ŒÆa¬ÆةةK8kfree•ê¼êþŠ¯KƉ;’¶¡Ä:êÆž<6¶4¡Â•“ÜÕÇØ©Jžm2014c41F万方数据ÕM(²<(²¤¥ÆØ©´<3“•e?1ïÄóŠ9ïĤJ"â·¤•§Ø©¥AO±I5Ú—/•§Ø©¥Ø•¹Ù¦<®²uL½>LïĤJ§•Ø•¹•¼(5µXvkÙ¦I‡AO(²§9Œ˜)½Ù¦˜ÅƽyÖ¦^Lá"†·˜ÓóŠÓ“éïĤ‰?Ûzþ®3Ø©¥Š²(`²¿L«¿"ÆØ©Šö¶µ“iµÆØ

2、©‡¦^ÇÖÆØ©Šö)Æk'3!¦^ÆØ©5½§k3¿•I[k'Ü€½ÅxØ©E<‡Ú^§#NØ©Ú/"<ÇÆŒ±òÆØ©ܽܩSN?k'êâ¥?1u¢§Œ±æ^K

3、.........................................3ÎÒ`²..........................................................................6x1Úó..........................................................................7x2ÄÚn.....................................................................9x3½n1y².............

4、..................................................12x4½n2y²...............................................................15x5½n3y²...............................................................21x6½n4y²...............................................................24ë•©z......................

5、..................................................31ÆâØ©uL8¹..............................................................33—.............................................................................34万方数据ìÀ“‰ŒÆa¬ÆØ©kfree•ê¼êþŠ¯K4¡Â(ìÀ“‰ŒÆêƉÆÆ,LH,ìÀ,250014)Á‡ên>1kIO©)/ª:n=pa1pa2


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6、vn=pa1pa2


par,Ù12r12r¥a1k;a2k;


;ark,K¡ên•kfullê.-fk(n)•kfullêA¼ê,=(1;n•kfullê;fk(n)=0;ÄK.Qraieên=i=1pi;ai1•êaiþ´kfreeê,K¡n´•êk(e)(e)freeê.-q(n)L«•êkfreeêA¼ê,@oq(n)•kfree•êkk¼ê.dL.Toth[2],Œ±•,¼êq(e)(n)´Œ¦…éz˜ƒê˜pak:kq(e)(p)=q(e)(p2)=q(e)(p3)=:::=q(e)(p2k1)=1;q(e)(p2k)=0:kk

7、kkk(e)'ukfree•ê¼êq(n),NõÆöÑ'Ð(J:kL.Toth[2]y²:Xq(e)(n)=Dx+O(x1=2k(x));kknxùpYX1q(a)q(a1)kkDk=(1+);papa=2k(x)=(x):=exp(A(logx)3=5(loglogx)1=5):AÙ¥A•~ê,qk(n)L«kfreeêA¼ê.(e)3©¥,·‚òïÄkfree•ê¼êq(n)3kfull