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D(2n)的主解析点计算

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发表于 2024-5-5 18:58 | 显示全部楼层 |阅读模式
本帖最后由 小草 于 2024-5-7 01:53 编辑

D(2n)的主解析点计算


D(2n)是一个全解析函数,但是这种解析只起到一个解析作用,没有计算意义.我们把D(p*2^n)作为Cp的一个主解析点,就可计算出D(2n)的一个近似的Cp的值.当2n是一个主解析点时Cp就取该点的值.当2^k≤2n≤2^k+1时C2取
D(2^k)的值,这时Cp就取D(p*2^k)的值.
D(2n)的解析点具有自修复功能,2n愈大时这种主解析点的计算就愈接近真值,并接近哈代系数的Cp值.

12=3*2^2
D(12)是主解析点
C2=0.48045301391820142466710252632669
C3=0.03411040759518387718528748171514
D(3*2^2)=0.51456342151338530185239000804183*12/ln^2(12)=1
D(12)=1

14=2*7
它的主解析点是:
C2=D(2^3)=0.54050964065797660275049034211751
C7=0.32753265759761221073160510758457
0.86804229825558881348209544970208*14/ln^2(14)=
1.7449029398773425274308311587505
D(14)=2

16=2^4
D(16)是主解析点
C2=0.96090602783640284933420505265333
D(16)=0.96090602783640284933420505265333*16/ln^2(16)=2
D(16)=2

18=2*3^2
它的主解析点是:
C2=D(2^4)=0.96090602783640284933420505265333
C3=0.60015618746091763649396174732247
1.5610622152973204858281667999758*18/ln^2(18)=
3.3634525635501127303067678428069
D(18)=2

20=2^2*5
D(20)是主解析点
C2=0.48045301391820142466710252632669
C5=0.41698817156309496786063415615731
0.89744118548129639252773668248487*20/ln^2(20)=2
D(20)=2

 楼主| 发表于 2024-5-7 09:55 | 显示全部楼层
22=2*11
它的主解析点是:
C2=D(2^4)=0.96090602783640284933420505265333
C11=0.10237427443984604072541479140787
1.0632803022762488900596198440612*22/ln^2(22)=
2.4482767571525886834016314376972
D(22)=3

24=3*2^3
D(24)是主解析点
C2=0.54050964065797660275049034211751
C3=0.72199362791567948705231442810849
D(3*2^3)=1.262503268573656089802804770226*24/ln^2(24)=3
D(24)=3

26=2*13
它的主解析点是:
C2=D(2^4)=0.96090602783640284933420505265333
C13=-0.0021310794429825072492523712161
0.95877494839342034208495268143723*26/ln^2(26)=
2.3483462371625839519031451449078
D(26)=3

28=2^2*7
D(28)是主解析点
C2=0.48045301391820142466710252632669
C7=0.31266033591265362612394080767388
D(7*2^2)=0.79311334983085505079104333400057*28/ln^2(7*2^2)=2

30=2*3*5
它的主解析点是:
C2=D(2^4)=0.96090602783640284933420505265333
C3=0.60015618746091763649396174732247
C5=-0.00079815648683763419863590988833
1.5602640588104828516295308900884*30/ln^2(30)=
4.0462777145046199120277021830671
D(30)=3

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 楼主| 发表于 2024-5-13 09:48 | 显示全部楼层
32=2^5
D(32)是主解析点
C2=0.75070783424718972604234769738544
D(2^5)=32*0.75070783424718972604234769738544/ln^2(32)=2
D(32)=2

34=2*17
它的主解析点是:
C2=D(2^5)=0.75070783424718972604234769738544
C17=0.19745007198088308473244207884623
0.94815790622807281077478977623167*34/ln^2(34)=
2.5924247879717552480801049238451
D(34)=4

36=2^2*3^2
它的主解析点是:
C2=D(2^5)=0.75070783424718972604234769738544
C3=0.76838509169749727616273549170486
1.5190929259446870022050831890903*36/ln^2(36)=
4.258605729866419942165164997049
D(36)=4

38=2*19
它的主解析点是:
C2=D(2^5)=0.75070783424718972604234769738544
C19=0.12786855757200356438229181688332
0.87857639181919329042463951426876*38/ln^2(38)=
2.5231121108859247535274027994993
D(38)=2

40=2^3*5
D(40)是主解析点
C2=0.54050964065797660275049034211751
C5=0.48007773136581834894905508141249
D(5*2^3)=1.0205873720237949516995454235318*40/ln^2(40)=3
D(40)=3
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 楼主| 发表于 2024-5-14 10:20 | 显示全部楼层
42=2*3*7
它的主解析点是:
C2=D(2^5)=0.75070783424718972604234769738544
C3=0.76838509169749727616273549170486
C7=0.16447694670775529523423814602902
1.6835698726524422974393213351193*42/ln^2(42)=
5.0614927031990929902687445943736
D(42)=4

44=2^2*11
D(44)是主解析点
C2=0.48045301391820142466710252632669
C11=0.49591683963550926414299463417722
D(11*2^2)=0.97636985355371068881009716050391*44/ln^2(44)=3
D(44)=3

46=2*23
它的主解析点是:
C2=D(2^5)=0.75070783424718972604234769738544
C23=0.37422225070913067609525665974176
1.1249300849563204021376043571272*46/ln^2(46)=
3.5301566845387263965025842002233
D(46)=4

48=2^4*3
它的主解析点是:
C2=D(2^5)=0.75070783424718972604234769738544
C3=0.76838509169749727616273549170486
1.5190929259446870022050831890903*48/ln^2(48)=
4.8655745781898897691305789300228
D(48)=5

50=2*5^2
它的主解析点是:
C2=D(2^5)=0.75070783424718972604234769738544
C5=0.5371616284945642122291372250917
1.2878694627417539382714849224767*50/ln^2(50)=
4.2076445987401568522078605670766
D(50)=4

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 楼主| 发表于 2024-5-16 13:41 | 显示全部楼层
52=2^2*13
D(52)是主解析点
C2=0.48045301391820142466710252632669
C13=0.42025815475271314598405953963887
D(13*2^2)=0.90071116867091457065116206596556*52/ln^2(13*2^2)=3

54=2*3^3
它的主解析点是:
C2=0.75070783424718972604234769738544
C3=0.76838509169749727616273549170486
1.5190929259446870022050831890903*54/ln^2(54)=5.1552947685370355502370346504925
D(54)=5

56=2^3*7
D(56)是主解析点
C2=0.54050964065797660275049034211751
C7=0.32753265759761221073160510758457
D(7*2^3)=0.86804229825558881348209544970208*56/ln^2(7*2^3)=3

58=2*29
它的主解析点是:
C2=0.75070783424718972604234769738544
C29=0.15492342426869105178557646012696
0.9056312585158807778279241575124*58/ln^2(58)=
3.1859030729168571769229951722285
D(58)=4

60=2^2*3*5
它的主解析点是:
C2=0.75070783424718972604234769738544
C3=0.76838509169749727616273549170486
C5=0.5371616284945642122291372250917
2.0562545544392512144342204141816*60/ln^2(60)=
7.3596871115403666943219899180794
D(60)=6

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 楼主| 发表于 2024-5-19 19:12 | 显示全部楼层
62=2*31
它的主解析点是:
C2=C2(2^5)=0.75070783424718972604234769738544
C31=-0.12683653742903381571607240587743
0.62387129681815591032627529150801*62/ln^2(62)=
2.2708553638118699706406089823431
D(62)=3

64=2^6
D(2^6)是主解析点
C2=1.3512741016449415068762258552937
D(2^6)=64*1.3512741016449415068762258552937/ln^2(64)=5
D(64)=5

66=2*3*11
它的主解析点是:
C2=C2(2^6)=1.3512741016449415068762258552937
C3=0.232339614270834285483661485384
C11=-0.2520636422527737612266456755254
1.3315500736630020311332416651523*66/ln^2(66)=
5.0066238936155787341607982486029
D(66)=6

68=2^2*17
D(68)是主解析点
C2=0.48045301391820142466710252632669
C17=0.04320125884769663922716549838175
D(17*2^2)=0.52365427276589806389426802470844*68/ln^2(17*2^2)=2
D(68)=2

70=2*5*7
它的主解析点是:
C2=C2(2^6)=1.3512741016449415068762258552937
C5=-0.2074966072209795792127745738549
C7=-0.2698220808033847223462132431207
0.8739554136205772053172380383181*70/ln^2(70)=
3.3893548859786799069369551619852
D(70)=5

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发表于 2024-5-19 22:51 | 显示全部楼层
解析不解析的,我看不懂,不过,如果,你的方法能证明,解析,哥德巴赫猜想的话,我还是可以,隐隐约约的看懂的,就好像陈景润的上帝符号,难懂的比经文,还难于理解,这就好像,全世界通用的阿拉伯数字,1,2,3,4,5,6,7,8,9,10,无论你去哪里,这些阿拉伯数字都能认识,它不会因国而异。
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发表于 2024-5-19 23:00 | 显示全部楼层
数学符号是全世界通用语言。
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 楼主| 发表于 2024-5-20 11:52 | 显示全部楼层
用我的这个方法可以得到任意偶数的一个近似解。
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 楼主| 发表于 2024-5-22 10:07 | 显示全部楼层
本帖最后由 小草 于 2024-5-22 02:19 编辑

72=2^3*3^2
它的主解析点是:
C2=C2(2^6)=1.3512741016449415068762258552937
C3=0.232339614270834285483661485384
1.5836137159157757923598873406777*72/ln^2(72)=
6.2340611639459016361130299107762
D(72)=6

74=2*37
它的主解析点是:
C2=C2(2^6)=1.3512741016449415068762258552937
C37=-0.40799585918395496030147542319378
0.94327824246098654657475043209992*74/ln^2(74)=
3.7680258647410417274500419106528
D(74)=5

76=2^2*19
D(76)是主解析点
C2=0.48045301391820142466710252632669
C19=0.75344509559940401605219626070531
D(19*2^2)=1.233898109517605440719298787032*76/ln^2(19*2^2)=5
D(76)=5

78=2*3*13
它的主解析点是:
C2=C2(2^6)=1.3512741016449415068762258552937
C3=0.232339614270834285483661485384
C13=-0.1558194150712958168533569258871
1.4277943008444799755065304147906*78/ln^2(78)=
5.8673659430108650173164425228149
D(78)=7

80=2^4*5
D(80)是主解析点
C2=0.96090602783640284933420505265333
C5=-0.00079815648683763419863590988833
D(5*2^4)=0.96010787134956521513556914276589*80/ln^2(5*2^4)=4
D(80)=4



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