[{"@context":"http:\/\/schema.org\/","@type":"BlogPosting","@id":"https:\/\/wiki.edu.vn\/all2jp\/wiki11\/archives\/14915#BlogPosting","mainEntityOfPage":"https:\/\/wiki.edu.vn\/all2jp\/wiki11\/archives\/14915","headline":"\u591a\u6570\u306e\u7406\u8ad6\u6a5f\u80fd – \u30a6\u30a3\u30ad\u30da\u30c7\u30a3\u30a2","name":"\u591a\u6570\u306e\u7406\u8ad6\u6a5f\u80fd – \u30a6\u30a3\u30ad\u30da\u30c7\u30a3\u30a2","description":"before-content-x4 \u4e00 \u591a\u6570\u306e\u7406\u8ad6\u7684 \u307e\u305f \u7b97\u8853\u95a2\u6570 \u8907\u96d1\u306a\u6570\u3092\u5404\u80af\u5b9a\u7684\u306a\u81ea\u7136\u6570\u306b\u5272\u308a\u5f53\u3066\u308b\u95a2\u6570\u3067\u3059\u3002\u6570\u306e\u7406\u8ad6\u3067\u306f\u3001\u3053\u308c\u3089\u306e\u6a5f\u80fd\u306f\u3001\u81ea\u7136\u6570\u306e\u7279\u6027\u3001\u7279\u306b\u305d\u306e\u5206\u6563\u6027\u3092\u8a18\u8ff0\u304a\u3088\u3073\u8abf\u3079\u308b\u306e\u306b\u5f79\u7acb\u3061\u307e\u3059\u3002 after-content-x4 Table of Contents \u4f8b [ \u7de8\u96c6 | \u30bd\u30fc\u30b9\u30c6\u30ad\u30b9\u30c8\u3092\u7de8\u96c6\u3057\u307e\u3059 ] \u4e57\u6cd5\u6a5f\u80fd [ \u7de8\u96c6 |","datePublished":"2019-11-11","dateModified":"2019-11-11","author":{"@type":"Person","@id":"https:\/\/wiki.edu.vn\/all2jp\/wiki11\/archives\/author\/lordneo#Person","name":"lordneo","url":"https:\/\/wiki.edu.vn\/all2jp\/wiki11\/archives\/author\/lordneo","image":{"@type":"ImageObject","@id":"https:\/\/secure.gravatar.com\/avatar\/44a4cee54c4c053e967fe3e7d054edd4?s=96&d=mm&r=g","url":"https:\/\/secure.gravatar.com\/avatar\/44a4cee54c4c053e967fe3e7d054edd4?s=96&d=mm&r=g","height":96,"width":96}},"publisher":{"@type":"Organization","name":"Enzyklop\u00e4die","logo":{"@type":"ImageObject","@id":"https:\/\/wiki.edu.vn\/wiki4\/wp-content\/uploads\/2023\/08\/download.jpg","url":"https:\/\/wiki.edu.vn\/wiki4\/wp-content\/uploads\/2023\/08\/download.jpg","width":600,"height":60}},"image":{"@type":"ImageObject","@id":"https:\/\/wikimedia.org\/api\/rest_v1\/media\/math\/render\/svg\/797fc1c80767f8098a6aba93b230fe114c99a9d2","url":"https:\/\/wikimedia.org\/api\/rest_v1\/media\/math\/render\/svg\/797fc1c80767f8098a6aba93b230fe114c99a9d2","height":"","width":""},"url":"https:\/\/wiki.edu.vn\/all2jp\/wiki11\/archives\/14915","wordCount":6961,"articleBody":"     (adsbygoogle = window.adsbygoogle || []).push({});before-content-x4\u4e00 \u591a\u6570\u306e\u7406\u8ad6\u7684 \u307e\u305f \u7b97\u8853\u95a2\u6570 \u8907\u96d1\u306a\u6570\u3092\u5404\u80af\u5b9a\u7684\u306a\u81ea\u7136\u6570\u306b\u5272\u308a\u5f53\u3066\u308b\u95a2\u6570\u3067\u3059\u3002\u6570\u306e\u7406\u8ad6\u3067\u306f\u3001\u3053\u308c\u3089\u306e\u6a5f\u80fd\u306f\u3001\u81ea\u7136\u6570\u306e\u7279\u6027\u3001\u7279\u306b\u305d\u306e\u5206\u6563\u6027\u3092\u8a18\u8ff0\u304a\u3088\u3073\u8abf\u3079\u308b\u306e\u306b\u5f79\u7acb\u3061\u307e\u3059\u3002        (adsbygoogle = window.adsbygoogle || []).push({});after-content-x4Table of Contents\u4f8b [ \u7de8\u96c6 | \u30bd\u30fc\u30b9\u30c6\u30ad\u30b9\u30c8\u3092\u7de8\u96c6\u3057\u307e\u3059 ] \u4e57\u6cd5\u6a5f\u80fd [ \u7de8\u96c6 | \u30bd\u30fc\u30b9\u30c6\u30ad\u30b9\u30c8\u3092\u7de8\u96c6\u3057\u307e\u3059 ] \u52a0\u7b97\u6a5f\u80fd [ \u7de8\u96c6 | \u30bd\u30fc\u30b9\u30c6\u30ad\u30b9\u30c8\u3092\u7de8\u96c6\u3057\u307e\u3059 ] \u610f\u5473 [ \u7de8\u96c6 | \u30bd\u30fc\u30b9\u30c6\u30ad\u30b9\u30c8\u3092\u7de8\u96c6\u3057\u307e\u3059 ] \u6298\u308a\u305f\u305f\u307f\u306e\u7279\u6027 [ \u7de8\u96c6 | \u30bd\u30fc\u30b9\u30c6\u30ad\u30b9\u30c8\u3092\u7de8\u96c6\u3057\u307e\u3059 ] \u4ee3\u6570\u69cb\u9020 [ \u7de8\u96c6 | \u30bd\u30fc\u30b9\u30c6\u30ad\u30b9\u30c8\u3092\u7de8\u96c6\u3057\u307e\u3059 ] \u8907\u96d1\u306a\u6570\u306e\u6570\u306e\u7a7a\u9593\u304b\u3089\u306e\u533a\u5225 [ \u7de8\u96c6 | \u30bd\u30fc\u30b9\u30c6\u30ad\u30b9\u30c8\u3092\u7de8\u96c6\u3057\u307e\u3059 ] \u4f8b [ \u7de8\u96c6 | \u30bd\u30fc\u30b9\u30c6\u30ad\u30b9\u30c8\u3092\u7de8\u96c6\u3057\u307e\u3059 ] \u3044\u304f\u3064\u304b\u306e\u6570\u306e\u7406\u8ad6\u95a2\u6570\u306e\u6700\u521d\u306e\u5024 n = f\uff08n\uff09 \u3042\u3042\uff08n\uff09 \u3042\u3042\uff08n\uff09 L\uff08n\uff09 m\uff08n\uff09 L\uff08n\uff09 p\uff08n\uff09 a 0 \uff08n\uff09 a \u521d\u3081 \uff08n\uff09 a 2 \uff08n\uff09 r 2 \uff08n\uff09 r 3 \uff08n\uff09 r 4 \uff08n\uff09 \u521d\u3081 \u521d\u3081 \u521d\u3081 0 0 \u521d\u3081 \u521d\u3081 0.00 0 \u521d\u3081 \u521d\u3081 \u521d\u3081 4 6 8 2 2 \u521d\u3081 \u521d\u3081 \u521d\u3081 -\u521d\u3081 -\u521d\u3081 0.69 \u521d\u3081 2 3 5 4 12\u756a\u76ee 24 3 3 2 \u521d\u3081 \u521d\u3081 -\u521d\u3081 -\u521d\u3081 1.10 2 2 4 \u5341 0 8 32 4 2 2 2 \u521d\u3081 2 \u521d\u3081 0 0.69 2 3 7 21 4 6 24 5 5 4 \u521d\u3081 \u521d\u3081 -\u521d\u3081 -\u521d\u3081 1.61 3 2 6 26 8 24 48 6 2\u20273 2 2 2 \u521d\u3081 \u521d\u3081 0.00 3 4 12\u756a\u76ee 50 0 24 96 7 7 6 \u521d\u3081 \u521d\u3081 -\u521d\u3081 -\u521d\u3081 1.95 4 2 8 50 0 0 \u516d\u5341\u56db 8 2 3 4 \u521d\u3081 3 -\u521d\u3081 0 0.69 4 4 15 85 4 12\u756a\u76ee 24 9 3 2 6 \u521d\u3081 2 \u521d\u3081 0 1.10 4 3 13 91 4 30 104 \u5341 2\u20275 4 2 2 \u521d\u3081 \u521d\u3081 0.00 4 4 18 130 8 24 144 11 11 \u5341 \u521d\u3081 \u521d\u3081 -\u521d\u3081 -\u521d\u3081 2.40 5 2 12\u756a\u76ee 122 0 24 96 12\u756a\u76ee 2 2 \u20273 4 2 3 -\u521d\u3081 0 0.00 5 6 28 210 0 8 96 13 13 12\u756a\u76ee \u521d\u3081 \u521d\u3081 -\u521d\u3081 -\u521d\u3081 2.56 6 2 14 170 8 24 112 14 2\u20277 6 2 2 \u521d\u3081 \u521d\u3081 0.00 6 4 24 250 0 48 192 15 3\u20275 8 2 2 \u521d\u3081 \u521d\u3081 0.00 6 4 24 260 0 0 192 16 2 4 8 \u521d\u3081 4 \u521d\u3081 0 0.69 6 5 \u6700\u521d\u306b30 341 4 6 24 17 17 16 \u521d\u3081 \u521d\u3081 -\u521d\u3081 -\u521d\u3081 2.83 7 2 18 290 8 48 144 18 2\u20273 2 6 2 3 -\u521d\u3081 0 0.00 7 6 39 455 4 36 312 19 19 18 \u521d\u3081 \u521d\u3081 -\u521d\u3081 -\u521d\u3081 2.94 8 2 20 362 0 24 160 20 2 2 \u20275 8 2 3 -\u521d\u3081 0 0.00 8 6 42 546 8 24 144 21 3\u20277 12\u756a\u76ee 2 2 \u521d\u3081 \u521d\u3081 0.00 8 4 32 500 0 48 256 22 2\u202711 \u5341 2 2 \u521d\u3081 \u521d\u3081 0.00 8 4 36 610 0 24 288 23 23 22 \u521d\u3081 \u521d\u3081 -\u521d\u3081 -\u521d\u3081 3.14 9 2 24 530 0 0 192 24 2 3 \u20273 8 2 4 \u521d\u3081 0 0.00 9 8 60 850 0 24 96 25 5 2 20 \u521d\u3081 2 \u521d\u3081 0 1.61 9 3 \u6700\u521d\u306b30 651 12\u756a\u76ee 30 248 26 2\u202713 12\u756a\u76ee 2 2 \u521d\u3081 \u521d\u3081 0.00 9 4 42 850 8 72 336 27 3 3 18 \u521d\u3081 3 -\u521d\u3081 0 1.10 9 4 40 820 0 32 320 28 2 2 \u20277 12\u756a\u76ee 2 3 -\u521d\u3081 0 0.00 9 6 56 1050 0 0 192 29 29 28 \u521d\u3081 \u521d\u3081 -\u521d\u3081 -\u521d\u3081 3.37 \u5341 2 30 842 8 72 240 30 2\u20273\u20275 8 3 3 -\u521d\u3081 -\u521d\u3081 0.00 \u5341 8 72 1300 0 48 576 \u6700\u521d\u306b30 \u6700\u521d\u306b30 30 \u521d\u3081 \u521d\u3081 -\u521d\u3081 -\u521d\u3081 3.43 11 2 32 962 0 0 256 32 2 5 16 \u521d\u3081 5 -\u521d\u3081 0 0.69 11 6 63 1365 4 12\u756a\u76ee 24 33 3\u202711 20 2 2 \u521d\u3081 \u521d\u3081 0.00 11 4 48 1220 0 48 384 34 2\u202717 16 2 2 \u521d\u3081 \u521d\u3081 0.00 11 4 54 1450 8 48 432 35 5\u20277 24 2 2 \u521d\u3081 \u521d\u3081 0.00 11 4 48 1300 0 48 384 36 2 2 \u20273 2 12\u756a\u76ee 2 4 \u521d\u3081 0 0.00 11 9 91 1911\u5e74 4 30 312 37 37 36 \u521d\u3081 \u521d\u3081 -\u521d\u3081 -\u521d\u3081 3.61 12\u756a\u76ee 2 38 1370 8 24 304 38 2\u202719 18 2 2 \u521d\u3081 \u521d\u3081 0.00 12\u756a\u76ee 4 60 1810\u5e74 0 72 480 39 3\u202713 24 2 2 \u521d\u3081 \u521d\u3081 0.00 12\u756a\u76ee 4 56 1700 0 0 448 40 2 3 \u20275 16 2 4 \u521d\u3081 0 0.00 12\u756a\u76ee 8 90 2210 8 24 144 \u91cd\u8981\u306a\u7b97\u8853\u95a2\u6570\u306f\u305d\u3046\u3067\u3059 \u540c\u4e00\u306e\u95a2\u6570 \u79c1 \uff08 n \uff09\uff09 \uff1a= n {displaystyle i\uff08n\uff09\uff1a= n} \u305d\u3057\u3066\u5f7c\u3089\u306e\u80fd\u529b Ir\uff08 n \uff09\uff09 = nr\u3001 {displaystyle i^{r}\uff08n\uff09= n^{r}\u3001} \u30c7\u30a3\u30ea\u30af\u30ec\u306e\u30ad\u30e3\u30e9\u30af\u30bf\u30fc \u03c7k\uff08 n \uff09\uff09 \u3001 {displaystyle chi _ {k}\uff08n\uff09\u3001} \u5206\u5272\u6a5f\u80fd        (adsbygoogle = window.adsbygoogle || []).push({});after-content-x4\u03c3k(n):=\u2211d|ndk,{displaystyle qquad sigma _ {k}\uff08n\uff09\uff1a= sum _ {d | n} d^{k}\u3001} \u7279\u5225 \u03c3(n):=\u03c31(n)=\u2211d|ndM Tume Flay Amama\uff08\uff09\uff1anigube\uff06happi\uff06m\u00e3mummhork yourself hork hjoys \u3001 \u3059\u3079\u3066\u306e\u95a2\u4fc2\u8005\u307e\u305f\u306f k {displaystyle k}  – \u6570\u306e\u3059\u3079\u3066\u306e\u95a2\u4fc2\u8005\u306e\u5f37\u5ea6 n {displaystyle n} \u6307\u5b9a\u3057\u307e\u3059 \u53c2\u52a0\u95a2\u6570 d \uff08 n \uff09\uff09 \uff1a= \u03c30\uff08 n \uff09\uff09 {displaystyle d\uff08n\uff09\uff1a= sigma _ {0}\uff08n\uff09} \u3053\u308c\u306f\u3001\u6570\u306e\u9664\u6570\u306e\u6570\u3092\u793a\u3057\u307e\u3059 n {displaystyle n} \u6240\u6709\u3057\u3066\u3044\u308b\u3001 eulersche\u03c6\u6a5f\u80fd\u306e\u6570 n {displaystyle n} \u3088\u308a\u5927\u304d\u304f\u306a\u3044\u975e\u515a\u6d3e\u6570\u3092\u5206\u5272\u3057\u307e\u3059 n {displaystyle n} \u305d\u308c\u306f\u3001 Liouville\u6a5f\u80fd l \uff08 n \uff09\uff09 {displaystyle lambda\uff08n\uff09} \u3001 \u30aa\u30fc\u30c0\u30fc \u304a\u304a \uff08 n \uff09\uff09 {displaystyle omega\uff08n\uff09} \u3001\u3059\u306a\u308f\u3061\u3001\u306e\uff08\u5fc5\u305a\u3057\u3082\u9055\u3044\u306f\u306a\u3044\uff09\u4e3b\u8981\u306a\u8981\u56e0 n {displaystyle n} \u3001 \u3068\u3057\u3066\u3082 \u304a\u304a \uff08 n \uff09\uff09 {displaystyle omega\uff08n\uff09} \u3055\u307e\u3056\u307e\u306a\u4e3b\u8981\u306a\u8981\u56e0\u306e\u6570\u3068\u3057\u3066\u3001 dedekindsche psi-function\u3001 M\u00f6biusche\u03bcFunction\uff08\u4ee5\u4e0b\u306e\u6298\u308a\u305f\u305f\u307f\u5f0f\u306e\u6bb5\u843d\u3092\u53c2\u7167\uff09\u3001 \u540c\u578b\u30bf\u30a4\u30d7\u306e\u95a2\u6570 a \uff08 n \uff09\uff09 {displaystyle a\uff08n\uff09} \u3001 P-ADI\u6307\u6570\u8a55\u4fa1 \u03bdp\uff08 n \uff09\uff09 \u3001 {displaystyle nu _ {p}\uff08n\uff09\u3001} \u7d20\u6570\u95a2\u6570 pi \uff08 n \uff09\uff09 \u3001 {displaystyle pi\uff08n\uff09\u3001} \u3053\u308c\u306f\u3001\u3088\u308a\u5927\u304d\u304f\u306a\u3044\u7d20\u6570\u306e\u6570\u3092\u793a\u3057\u3066\u3044\u307e\u3059 n {displaystyle n} \u305d\u308c\u306f\u3001 smarandache\u95a2\u6570\u3001 \u30c1\u30a7\u30d3\u30b7\u30a7\u30d5\u95a2\u6570\u3001 \u30de\u30f3\u30b4\u30eb\u30c8\u95a2\u6570 l \uff08 n \uff09\uff09 {displaystyle lambda\uff08n\uff09} \u3001 \u5e73\u65b9\u5408\u8a08\u304c\u6a5f\u80fd\u3057\u307e\u3059 rk\uff08 n \uff09\uff09 {displaystyle r_ {k}\uff08n\uff09} \u7279\u5b9a\u306e\u81ea\u7136\u6570\u306e\u8868\u73fe\u6570\u3068\u3057\u3066 n {displaystyle n} \u306e\u5408\u8a08\u3068\u3057\u3066 k {displaystyle k} \u5168\u4f53\u306e\u6570\u5b57\u306e\u6b63\u65b9\u5f62\u3002 \u4e57\u6cd5\u6a5f\u80fd [ \u7de8\u96c6 | \u30bd\u30fc\u30b9\u30c6\u30ad\u30b9\u30c8\u3092\u7de8\u96c6\u3057\u307e\u3059 ] \u6570\u306e\u7406\u8ad6\u7684\u95a2\u6570\u306f\u610f\u5473\u3057\u307e\u3059 \u500d\u306b\u306a\u308b\u3068\u3001 \u975e\u515a\u6d3e\u6570\u306e\u5834\u5408        (adsbygoogle = window.adsbygoogle || []).push({});after-content-x4a {displaystyle a} \u3068 b {displaystyle b} \u3044\u3064\u3082 f \uff08 a b \uff09\uff09 = f \uff08 a \uff09\uff09 de f \uff08 b \uff09\uff09 {displaystyle f\uff08ab\uff09= f\uff08a\uff09cdot f\uff08b\uff09} \u9069\u7528\u3055\u308c\u307e\u3059 f \uff08 \u521d\u3081 \uff09\uff09 {displaystyle f\uff081\uff09} \u6d88\u3048\u308b\u3053\u3068\u306f\u3042\u308a\u307e\u305b\u3093\u304c\u3001\u3053\u308c\u306f\u540c\u7b49\u3067\u3059 f \uff08 \u521d\u3081 \uff09\uff09 = \u521d\u3081 {displaystyle f\uff081\uff09= 1} \u306f\u3002\u5f7c\u5973\u306e\u540d\u524d\u306f \u5b8c\u5168\u306b\u4e57\u6cd5\u7684\u3001 \u307e\u305f \u53b3\u5bc6\u306b \u307e\u305f \u53b3\u683c\u306a\u4e57\u6570\u3001 \u3053\u308c\u304c\u975e\u7279\u5225\u306a\u6570\u5024\u306b\u3082\u9069\u7528\u3055\u308c\u3066\u3044\u3066\u3082\u3002\u3057\u305f\u304c\u3063\u3066\u3001\u305d\u308c\u305e\u308c\u306e\u5b8c\u5168\u306b\u4e57\u7b97\u7684\u306a\u95a2\u6570\u306f\u5897\u6b96\u7684\u3067\u3059\u3002\u4e57\u7b97\u95a2\u6570\u306f\u3068\u3057\u3066\u8868\u3059\u3053\u3068\u304c\u3067\u304d\u307e\u3059 f \uff08 n \uff09\uff09 = \u220fp\u2208Pf (p\u03bdp(n))\u3001 {displaystyle f\uff08n\uff09= prod _ {pin mathbb {p}} fleft\uff08p^{nu _ {p}\uff08n\uff09}\u53f3\uff09\u3001} d\u3002 H.\u4e57\u7b97\u95a2\u6570\u306f\u3001\u7d20\u6570\u306e\u52b9\u529b\u306b\u3068\u308b\u5024\u306b\u3088\u3063\u3066\u5b8c\u5168\u306b\u6c7a\u5b9a\u3055\u308c\u307e\u3059\u3002 \u4e0a\u8a18\u306e\u6a5f\u80fd\u304b\u3089\u3001\u4f8b\u3068\u3057\u3066\u3001\u30a2\u30a4\u30c7\u30f3\u30c6\u30a3\u30c6\u30a3\u3068\u305d\u306e\u52b9\u529b\u3001\u304a\u3088\u3073\u30c7\u30a3\u30ea\u30af\u30ec\u306e\u30ad\u30e3\u30e9\u30af\u30bf\u30fc\u306f\u5b8c\u5168\u306b\u4e57\u7b97\u7684\u3067\u3042\u308a\u3001\u90e8\u5206\u7684\u306a\u56f3\u95a2\u6570\u3001\u90e8\u5206\u95a2\u6570\u3001\u304a\u3088\u3073\u30aa\u30a4\u30e9\u30fc\u30b7\u30a7\u03c6\u95a2\u6570\u304c\u4e57\u7b97\u3055\u308c\u307e\u3059\u3002\u7d20\u6570\u95a2\u6570\u3068\u6307\u6570\u8a55\u4fa1\u306f\u4e57\u6cd5\u3067\u306f\u3042\u308a\u307e\u305b\u3093\u3002 2\u3064\u306e\uff08\u5b8c\u5168\u306a\uff09\u4e57\u7b97\u95a2\u6570\u306e\uff08\u30dd\u30a4\u30f3\u30c8\uff09\u7a4d\u306f\u3001\uff08\u5b8c\u5168\u306b\uff09\u4e57\u7b97\u7684\u306a\u518d\u3073\u3067\u3059\u3002 \u52a0\u7b97\u6a5f\u80fd [ \u7de8\u96c6 | \u30bd\u30fc\u30b9\u30c6\u30ad\u30b9\u30c8\u3092\u7de8\u96c6\u3057\u307e\u3059 ] \u6570\u306e\u7406\u8ad6\u7684\u95a2\u6570\u306f\u610f\u5473\u3057\u307e\u3059 \u6dfb\u52a0\u5264\u3001 \u975e\u515a\u6d3e\u6570\u306e\u5834\u5408 a {displaystyle a} \u3068 b {displaystyle b} \u3044\u3064\u3082 f \uff08 a b \uff09\uff09 = f \uff08 a \uff09\uff09 + f \uff08 b \uff09\uff09 {displaystyle f\uff08ab\uff09= f\uff08a\uff09+f\uff08b\uff09} \u9069\u7528\u53ef\u80fd\u3067\u3059\u3002\u5f7c\u5973\u306e\u540d\u524d\u306f \u5b8c\u5168\u306b\u52a0\u7b97\u7684\u3001 \u307e\u305f \u53b3\u5bc6\u306b \u307e\u305f \u53b3\u5bc6\u306b\u52a0\u7b97\u7684\u3001 \u3053\u308c\u304c\u975e\u7279\u5225\u306a\u6570\u5024\u306b\u3082\u9069\u7528\u3055\u308c\u3066\u3044\u3066\u3082\u3002 \u6dfb\u52a0\u95a2\u6570\u306e\u4f8b\u306f\u305d\u308c\u3067\u3059 p {displaystyle p}  – \u30a2\u30c7\u30a3\u30c3\u30b7\u30e5\u6307\u6570\u8a55\u4fa1\u3002\u5bfe\u6570\u306b\u3088\u3063\u3066\u3069\u3053\u306b\u3082\u6d88\u3048\u306a\u3044\u3059\u3079\u3066\u306e\u4e57\u6cd5\u95a2\u6570\u304b\u3089\u52a0\u6cd5\u95a2\u6570\u3092\u69cb\u7bc9\u3067\u304d\u307e\u3059\u3002\u3088\u308a\u6b63\u78ba\uff1aif f {displaystyle f} \uff08\u5b8c\u5168\u306b\uff09\u4e57\u7b97\u7684\u3067\u5e38\u306b f \uff08 n \uff09\uff09 \u2260 0 {displaystyle f\uff08n\uff09neq 0} \u305d\u3046\u3067\u3059 \u30ed\u30b0 \u2061 \uff08 | f | \uff09\uff09 {displaystyle log\uff08| f |\uff09} \uff08\u5b8c\u5168\u306b\uff09\u52a0\u6cd5\u95a2\u6570\u3002\u6642\u6298\u3001\u6570\u5b57\u306e\u7406\u8ad6\u7684\u95a2\u6570\u306e\uff08\u8907\u96d1\u306a\uff09\u5bfe\u6570\u304c\u6d88\u3048\u3066\u3057\u307e\u3044\u307e\u3057\u305f \u30ed\u30b0 \u2061 \uff08 f \uff09\uff09 {displaystyle operatorname {log}\uff08f\uff09} \uff08\u91d1\u984d\u306a\u3057\uff09\u3002\u305f\u3060\u3057\u3001\u8907\u96d1\u306a\u5bfe\u6570\u306e\u3055\u307e\u3056\u307e\u306a\u5206\u5c90\u306e\u305f\u3081\u306b\u6ce8\u610f\u304c\u5fc5\u8981\u3067\u3059\u3002 Dirichlet\u306b\u3088\u308b\u3068\u3001\u6570\u7406\u8ad6\u7684\u6a5f\u80fd\u306e\u6298\u308a\u7573\u307f\u306f\u3001Dirichlet\u6298\u308a\u305f\u305f\u307f\u3068\u3082\u547c\u3070\u308c\u307e\u3059\u3002\u6570\u5b66\u306e\u5358\u8a9e\u306e\u4ed6\u306e\u610f\u5473\u306b\u3064\u3044\u3066\u306f\u3001\u8a18\u4e8b\u306e\u6298\u308a\u7573\u307f\uff08\u6570\u5b66\uff09\u3092\u53c2\u7167\u3057\u3066\u304f\u3060\u3055\u3044\u3002 \u610f\u5473 [ \u7de8\u96c6 | \u30bd\u30fc\u30b9\u30c6\u30ad\u30b9\u30c8\u3092\u7de8\u96c6\u3057\u307e\u3059 ]  \u30c7\u30a3\u30ea\u30af\u30ec\u6298\u308a\u305f\u305f\u307f 2\u3064\u306e\u6570\u5024\u7406\u8ad6\u95a2\u6570\u304c\u5b9a\u7fa9\u3055\u308c\u3066\u3044\u307e\u3059 \uff08 f \u2217 g \uff09\uff09 \uff08 n \uff09\uff09 \uff1a= \u2211d\u2223nf (nd)g \uff08 d \uff09\uff09 \u3001 n \u2208 N\u3001 {displaystyle\uff08f*g\uff09\uff08n\uff09\uff1a= sum _ {dmid n} f\uff01left\uff08{frac {n} {d}}\u53f3\uff09g\uff08d\uff09\u3001quad nin mathbb {n}\u3001} \u306e\u3059\u3079\u3066\u306e\uff08\u672c\u7269\u3068\u507d\u7269\u3001\u80af\u5b9a\u7684\u306a\uff09\u9664\u6570\u306e\u5408\u8a08 n {displaystyle n} \u30b9\u30c8\u30ec\u30c3\u30c1\u3002  \u6982\u8981\u95a2\u6570 \u6570\u306e\u7406\u8ad6\u7684\u95a2\u6570 f {displaystyle f} \u3067\u5b9a\u7fa9\u3055\u308c\u3066\u3044\u307e\u3059 f \uff1a= f \u2217 \u79c1 0{displaystyle f\uff1a= f*i^{0}} \u3001\u305d\u308c\u306b\u3088\u3063\u3066 \u79c1 0{displaystyle i^{0}} \u95a2\u6570\u5024\u3092\u6301\u3064\u4e00\u5b9a\u306e\u95a2\u6570 \u521d\u3081 {displaystyle1} \u8aac\u660e\u3057\u305f f \uff08 n \uff09\uff09 = \uff08 f \u2217 I0\uff09\uff09 \uff08 n \uff09\uff09 = \u2211d\u2223nf \uff08 d \uff09\uff09 \u3001 n \u2208 N\u3002 {displaystyle f\uff08n\uff09=\uff08f*i^{0}\uff09\uff08n\uff09= sum _ {dmid n} f\uff08d\uff09\u3001quad nin mathbb {n}\u3002} \u305d\u308c\u3092\u793a\u3059\u3053\u3068\u304c\u3067\u304d\u307e\u3059 \u79c1 0{displaystyle i^{0}} \u6298\u308a\u305f\u305f\u307f\u64cd\u4f5c\u306b\u3064\u3044\u3066\u53cd\u8ee2\u3055\u305b\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002\u3042\u306a\u305f\u306e\u9006\u306f\uff08\u4e57\u7b97\u7684\u306a\uff09\u30e1\u30d3\u30a6\u30b9\u95a2\u6570\u3067\u3059 m {displaystyle mu} \u3002\u3053\u308c\u306b\u3088\u308a\u3001M\u00f6biissian\u306e\u53cd\u8ee2\u5f0f\u306b\u3064\u306a\u304c\u308a\u307e\u3059\u3002\u3053\u308c\u306b\u3088\u308a\u3001\u305d\u306e\u8981\u7d04\u95a2\u6570\u304b\u3089\u6570\u306e\u7406\u8ad6\u95a2\u6570\u3092\u53d6\u308a\u623b\u3059\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002 \u6298\u308a\u305f\u305f\u307f\u306e\u7279\u6027 [ \u7de8\u96c6 | \u30bd\u30fc\u30b9\u30c6\u30ad\u30b9\u30c8\u3092\u7de8\u96c6\u3057\u307e\u3059 ] \u4ee3\u6570\u69cb\u9020 [ \u7de8\u96c6 | \u30bd\u30fc\u30b9\u30c6\u30ad\u30b9\u30c8\u3092\u7de8\u96c6\u3057\u307e\u3059 ] \u6570\u306e\u7406\u8ad6\u95a2\u6570\u306e\u91cf\u306f\u3001\u30b3\u30f3\u30dd\u30fc\u30cd\u30f3\u30c8\u30e1\u30bd\u30c3\u30c9\u306e\u8ffd\u52a0\u3001\u30b9\u30ab\u30e9\u30fc\u4e57\u7b97\u3001\u304a\u3088\u3073\u5185\u90e8\u4e57\u7b97\u3068\u3057\u3066\u306e\u6298\u308a\u7573\u307f\u3092\u5099\u3048\u305f\u5f62\u6210 \u3053\u306e\u30ea\u30f3\u30b0\u306e\u4e57\u7b97\u30b0\u30eb\u30fc\u30d7\u306f\u3001\u30dd\u30a4\u30f3\u30c8\u306b\u3042\u308b\u6570\u306e\u7406\u8ad6\u7684\u6a5f\u80fd\u3067\u69cb\u6210\u3055\u308c\u3066\u3044\u307e\u3059 \u521d\u3081 {displaystyle1} \u6d88\u3048\u306a\u3044\u3067\u304f\u3060\u3055\u3044\u3002 \u4e57\u6cd5\u6a5f\u80fd\u306e\u91cf\u306f\u3001\u3053\u306e\u30b0\u30eb\u30fc\u30d7\u306e\u5b9f\u969b\u306e\u30b5\u30d6\u30b0\u30eb\u30fc\u30d7\u3067\u3059\u3002 \u8907\u96d1\u306a\u6570\u306e\u6570\u306e\u7a7a\u9593\u304b\u3089\u306e\u533a\u5225 [ \u7de8\u96c6 | \u30bd\u30fc\u30b9\u30c6\u30ad\u30b9\u30c8\u3092\u7de8\u96c6\u3057\u307e\u3059 ] \u8907\u96d1\u306ascalarmultation\u3001\u30b3\u30f3\u30dd\u30fc\u30cd\u30f3\u30c8\u306e\u8ffd\u52a0\u3001\u304a\u3088\u3073\u6298\u308a\u305f\u305f\u307f\u306e\u4ee3\u308f\u308a\u306b –  \u30b3\u30f3\u30dd\u30fc\u30cd\u30f3\u30c8 \u4e57\u7b97\u306f\u3001\u6570\u306e\u7406\u8ad6\u7684\u95a2\u6570\u306e\u91cf\u3082\u5f62\u6210\u3057\u307e\u3059 c -albra\u3001\u6570\u5b57\u306e\u6b63\u5f0f\u306a\uff08\u5fc5\u8981\u3067\u306f\u306a\u3044\uff09\u8907\u96d1\u306a\u30b7\u30fc\u30b1\u30f3\u30b9\u306e\u4ee3\u6570\u3002\u305f\u3060\u3057\u3001\u30a4\u30e1\u30fc\u30b8\u30f3\u30b0\u30b9\u30da\u30fc\u30b9\u3068\u3057\u3066\u306e\u3053\u306e\u6a19\u6e96\u69cb\u9020\u306f\u3001\u6570\u7406\u8ad6\u306b\u307b\u3068\u3093\u3069\u95a2\u5fc3\u304c\u3042\u308a\u307e\u305b\u3093\u3002 \u8907\u96d1\u306a\u30d9\u30af\u30c8\u30eb\u30eb\u30fc\u30e0\u3068\u3057\u3066\uff08\u3064\u307e\u308a\u3001\u5185\u90e8\u4e57\u7b97\u306a\u3057\uff09\u3001\u3053\u306e\u7d50\u679c\u306f\u6570\u306e\u7406\u8ad6\u7684\u95a2\u6570\u306e\u7a7a\u9593\u3068\u540c\u4e00\u3067\u3059\u3002 \u6b63\u5f0f\u306a\u76f4\u63a5\u30b7\u30ea\u30fc\u30ba\u306f\u3001\u4efb\u610f\u306e\u6570\u306e\u7406\u8ad6\u6a5f\u80fd\u306b\u5272\u308a\u5f53\u3066\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002\u6298\u308a\u7573\u307f\u306f\u884c\u306e\u4e57\u7b97\u306b\u306a\u308a\u307e\u3059\u3002\u3053\u306e\u69cb\u9020\u306b\u3064\u3044\u3066\u306f\u3001Dirichlertreihen\u306b\u95a2\u3059\u308b\u8a18\u4e8b\u3067\u8a73\u3057\u304f\u8aac\u660e\u3057\u3066\u3044\u307e\u3059\u3002       (adsbygoogle = window.adsbygoogle || 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