INTEGERS

数、特に整数に関する記事。

正の整数におけるリーマンゼータ値（日常生活用）

数

日常生活用のため、 $\zeta (n)$ の $n=1, 2, \dots, 100$ までの値を各々、小数第50位までのみ掲載しています*1。

$\zeta(1)=\infty$

$\zeta(2)=1.64493406684822643647241516664602518921894990120679\dots$

$\zeta(3)=1.20205690315959428539973816151144999076498629234049\dots$

$\zeta(4)=1.08232323371113819151600369654116790277475095191872\dots$

$\zeta(5)=1.03692775514336992633136548645703416805708091950191\dots$

$\zeta(6)=1.01734306198444913971451792979092052790181749003285\dots$

$\zeta(7)=1.00834927738192282683979754984979675959986356056523\dots$

$\zeta(8)=1.00407735619794433937868523850865246525896079064985\dots$

$\zeta(9)=1.00200839282608221441785276923241206048560585139488\dots$

$\zeta(10)=1.00099457512781808533714595890031901700601953156447\dots$

$\zeta(11)=1.00049418860411946455870228252646993646860643575820\dots$

$\zeta(12)=1.00024608655330804829863799804773967096041608845800\dots$

$\zeta(13)=1.00012271334757848914675183652635739571427510589550\dots$

$\zeta(14)=1.00006124813505870482925854510513533374748169616915\dots$

$\zeta(15)=1.00003058823630702049355172851064506258762794870685\dots$

$\zeta(16)=1.00001528225940865187173257148763672202323738899047\dots$

$\zeta(17)=1.00000763719763789976227360029356302921308824909026\dots$

$\zeta(18)=1.00000381729326499983985646164462193973045469721895\dots$

$\zeta(19)=1.00000190821271655393892565695779510135325857114483\dots$

$\zeta(20)=1.00000095396203387279611315203868344934594379418741\dots$

$\zeta(21)=1.00000047693298678780646311671960437304596644669478\dots$

$\zeta(22)=1.00000023845050272773299000364818675299493504182177\dots$

$\zeta(23)=1.00000011921992596531107306778871888232638725499778\dots$

$\zeta(24)=1.00000005960818905125947961244020793580122750391883\dots$

$\zeta(25)=1.00000002980350351465228018606370506936601184473091\dots$

$\zeta(26)=1.00000001490155482836504123465850663069862886478816\dots$

$\zeta(27)=1.00000000745071178983542949198100417060411945471903\dots$

$\zeta(28)=1.00000000372533402478845705481920401840242323289305\dots$

$\zeta(29)=1.00000000186265972351304900640390994541694806166533\dots$

$\zeta(30)=1.00000000093132743241966818287176473502121981356795\dots$

$\zeta(31)=1.00000000046566290650337840729892332512200710626918\dots$

$\zeta(32)=1.00000000023283118336765054920014559759404950248298\dots$

$\zeta(33)=1.00000000011641550172700519775929738354563095165224\dots$

$\zeta(34)=1.00000000005820772087902700889243685989106305417312\dots$

$\zeta(35)=1.00000000002910385044497099686929425227884046410698\dots$

$\zeta(36)=1.00000000001455192189104198423592963224531842098380\dots$

$\zeta(37)=1.00000000000727595983505748101452086901233805926485\dots$

$\zeta(38)=1.00000000000363797954737865119023723635587327351264\dots$

$\zeta(39)=1.00000000000181898965030706594758483210073008503058\dots$

$\zeta(40)=1.00000000000090949478402638892825331183869490875386\dots$

$\zeta(41)=1.00000000000045474737830421540267991120294885703390\dots$

$\zeta(42)=1.00000000000022737368458246525152268215779786912138\dots$

$\zeta(43)=1.00000000000011368684076802278493491048380259064374\dots$

$\zeta(44)=1.00000000000005684341987627585609277182967524068553\dots$

$\zeta(45)=1.00000000000002842170976889301855455073704942662074\dots$

$\zeta(46)=1.00000000000001421085482803160676983430714173953767\dots$

$\zeta(47)=1.00000000000000710542739521085271287735447995680002\dots$

$\zeta(48)=1.00000000000000355271369133711367329846953405934299\dots$

$\zeta(49)=1.00000000000000177635684357912032747334901440027957\dots$

$\zeta(50)=1.00000000000000088817842109308159030960913863913863\dots$

$\zeta(51)=1.00000000000000044408921031438133641977709402681213\dots$

$\zeta(52)=1.00000000000000022204460507980419839993200942046539\dots$

$\zeta(53)=1.00000000000000011102230251410661337205445699213827\dots$

$\zeta(54)=1.00000000000000005551115124845481243723736590509430\dots$

$\zeta(55)=1.00000000000000002775557562136124172581632453854069\dots$

$\zeta(56)=1.00000000000000001387778780972523276283909490650022\dots$

$\zeta(57)=1.00000000000000000693889390454415369744608532624980\dots$

$\zeta(58)=1.00000000000000000346944695216592262474427149610933\dots$

$\zeta(59)=1.00000000000000000173472347604757657204897296993759\dots$

$\zeta(60)=1.00000000000000000086736173801199337283420550673429\dots$

$\zeta(61)=1.00000000000000000043368086900206504874970235659062\dots$

$\zeta(62)=1.00000000000000000021684043449972197850139101683209\dots$

$\zeta(63)=1.00000000000000000010842021724942414063012711165461\dots$

$\zeta(64)=1.00000000000000000005421010862456645410918700404388\dots$

$\zeta(65)=1.00000000000000000002710505431223468831954621311949\dots$

$\zeta(66)=1.00000000000000000001355252715610116458148523399682\dots$

$\zeta(67)=1.00000000000000000000677626357804518909799529874155\dots$

$\zeta(68)=1.00000000000000000000338813178902079681808570310045\dots$

$\zeta(69)=1.00000000000000000000169406589450979916540649274712\dots$

$\zeta(70)=1.00000000000000000000084703294725469983482469926091\dots$

$\zeta(71)=1.00000000000000000000042351647362728333478622704833\dots$

$\zeta(72)=1.00000000000000000000021175823681361947318442094398\dots$

$\zeta(73)=1.00000000000000000000010587911840680233852265001539\dots$

$\zeta(74)=1.00000000000000000000005293955920339870323813912302\dots$

$\zeta(75)=1.00000000000000000000002646977960169852961134116684\dots$

$\zeta(76)=1.00000000000000000000001323488980084899080309451025\dots$

$\zeta(77)=1.00000000000000000000000661744490042440406735524533\dots$

$\zeta(78)=1.00000000000000000000000330872245021217158894695638\dots$

$\zeta(79)=1.00000000000000000000000165436122510607564622992367\dots$

$\zeta(80)=1.00000000000000000000000082718061255303444036711056\dots$

$\zeta(81)=1.00000000000000000000000041359030627651609260093824\dots$

$\zeta(82)=1.00000000000000000000000020679515313825767043959679\dots$

$\zeta(83)=1.00000000000000000000000010339757656912870993284095\dots$

$\zeta(84)=1.00000000000000000000000005169878828456431320410133\dots$

$\zeta(85)=1.00000000000000000000000002584939414228214268127761\dots$

$\zeta(86)=1.00000000000000000000000001292469707114106670038112\dots$

$\zeta(87)=1.00000000000000000000000000646234853557053180343800\dots$

$\zeta(88)=1.00000000000000000000000000323117426778526538613481\dots$

$\zeta(89)=1.00000000000000000000000000161558713389263252120601\dots$

$\zeta(90)=1.00000000000000000000000000080779356694631620331587\dots$

$\zeta(91)=1.00000000000000000000000000040389678347315808256222\dots$

$\zeta(92)=1.00000000000000000000000000020194839173657903491587\dots$

$\zeta(93)=1.00000000000000000000000000010097419586828951533619\dots$

$\zeta(94)=1.00000000000000000000000000005048709793414475696084\dots$

$\zeta(95)=1.00000000000000000000000000002524354896707237824467\dots$

$\zeta(96)=1.00000000000000000000000000001262177448353618904375\dots$

$\zeta(97)=1.00000000000000000000000000000631088724176809449568\dots$

$\zeta(98)=1.00000000000000000000000000000315544362088404723910\dots$

$\zeta(99)=1.00000000000000000000000000000157772181044202361664\dots$

$\zeta(100)=1.00000000000000000000000000000078886090522101180735\dots$

*1:非日常生活用記事はまだ一つしか書いていません： integers.hatenablog.com