УК гд а Уж × в
УК гд а Уж × в
УК гд а Уж × в
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ÓÙÖÖÜÔÒ<strong>×</strong>ÓÒÓÙØØÙ<strong>×</strong>ÔØÒÒØݺÇÒ<strong>×</strong> ÔØÖºÓÒ<strong>×</strong>ØÖÙØÒØÅÓÙÐÖÓÖÑ<strong>×</strong><br />
)ºÇÒÑÓÖÓÒØÓÒÛÖÕÙÖÓØÙÒØÓÒ<strong>×</strong><strong>×</strong>ØØÓÑÙÐØÔй ´º¾µ<br />
a m q m ,ÛØa <strong>×</strong>ÓÛÒØÖÜ<strong>×</strong>Ø<strong>×</strong>ØÓØÖØÝÑÙÐØÔÐØÚη¹ÔÖÓÙØ<strong>×</strong><strong>×</strong><strong>×</strong>ÓØÛØÝÐØØ Ø1575ÔÖØØÓÒ<strong>×</strong>Ó24´Ø<strong>×</strong><strong>×</strong>ÕÙÚÐÒØØÓÐÐ<strong>×</strong>ÓÐÙØÓÒ<strong>×</strong>ÓÕº´º¾µµ¸ÙÑÑØØºÐºÚ 1ºÇ<br />
1<br />
ØÚØݺÙÒØÓÒg(z 1 ) = ∑ n a nq n<strong>×</strong>ÑÙÐØÔÐØÚa = a n a mÛÒ(n,<br />
2¹ÈË<strong>×</strong>ØØ<strong>×</strong>¸ÛÐ<strong>×</strong>ØÒ<br />
16µ¸ØÓÖÖ<strong>×</strong>ÔÓÒÒ<br />
=<br />
ÛÓÖÖ<strong>×</strong>ÔÓÒ<strong>×</strong>ØÓØÝÐ<strong>×</strong>Ôρ℄ºÌÖÓÙÔ<strong>×</strong>ÚÒÒØÝÜØÖØÒ<br />
4¹ÈË<strong>×</strong>ØØ<strong>×</strong>Ò <strong>×</strong>ÐÒ¿¸℄ºÓÒÐÙÒØ<strong>×</strong>Ù<strong>×</strong><strong>×</strong>ÓÒÓÒØÒÖÝÓ1<br />
ØÝÐ<strong>×</strong>ÔÖÓÑØ<strong>×</strong>Ù<strong>×</strong><strong>×</strong>ÓÒÒÙÙÖÒÄÓÛ℄´<strong>×</strong>Ð<strong>×</strong>ÓÔÖÓÔÓ<strong>×</strong>ØÓÒº½Ò<br />
Ìк¿¸ØÚÖÓÙ<strong>×</strong>ÝÐ<strong>×</strong>Ô<strong>×</strong>´Ö<strong>×</strong>ØÖØÒØÓ<strong>×</strong>Ô<strong>×</strong>ÛØM ℄µºÁØ<strong>×</strong>ÒØÖ<strong>×</strong>ØÒØÓÒÓØØØÐÐÝÐ<strong>×</strong>Ô<strong>×</strong>ØØÔÔÖÒÌк¿Ö<strong>×</strong>ÖÓÑØ<br />
≤<br />
ÛØÓØÒÙ<strong>×</strong>¹ØÛÓÑÓÙÐÖÓÖÑÒÖØÒØÒÖ<strong>×</strong>ÓØ1 ØÀÄÑÓÐØÓÖÖ<strong>×</strong>ÔÓÒ<strong>×</strong>ØÓ¸ÒØ<strong>×</strong>ÖØÖÓÙÔGØØ<strong>×</strong>ÒÙØÓÑÓÖÔ<strong>×</strong>ÑÓK3<br />
ÐÚÐN<strong>×</strong>ÒØÒ<strong>×</strong>ÔÖØÓÐÙÑÒº<br />
MÒØØÖÙ 2ºÁÒ<br />
º¿º¿<br />
ØÓÒÓÆÙÐÒÒÚÓÐÙØÓÒ<strong>×</strong>ÓÒH ∗ (K3)Ø<strong>×</strong>ÒÐÙ<strong>×</strong>ÔÖÓÙØÖÓÙÔ<strong>×</strong><strong>×</strong>Ù<strong>×</strong>Z <strong>×</strong> Z<br />
ÜÑÔÐ<strong>×</strong>ÒÚÓÐÚÒÔÖÓÙØÖÓÙÔ<strong>×</strong>¸Øη¹ÔÖÓÙØ<strong>×</strong>ÖØÙÐÐÝÓÐÚÐN <<br />
Ù<strong>×</strong>ÒÕº´ºµºÓÖÔÖÑNØ<strong>×</strong>ÖÔÖÓÙ<strong>×</strong>ØÖ<strong>×</strong>ÙÐØÓÂØÖÒËÒ¾℄º<br />
)ÒÖØÖχ(d)ÖÓÑÌк¿ØÓØÖÑÒØ ÓÖÑÙÐÓÖΦ k (Z)Ò˜Φk ÏÒÙ<strong>×</strong>ØÜÔÖ<strong>×</strong><strong>×</strong>ÓÒ<strong>×</strong>ÓÖg ρ (z 1<br />
(Z)¸ÓÙØÒÓØÖÒÕÙÚÐÒØÙ<strong>×</strong>ÔºÄØ<br />
ØÚ<strong>×</strong>ÒÒÓÒ<strong>×</strong>ØÖÙØØÑÓÙÐÖÓÖÑΦ k<br />
(Z)¸<br />
(Z)ÓÖN ÛØ ´º¾µ<br />
<strong>×</strong><strong>×</strong>Ù<strong>×</strong><strong>×</strong>ÝÂØÖÒËÒ¾℄¸ØÒÖØÒÙÒØÓÒÓÝÓÒÒÖ<strong>×</strong>¸˜Φk <strong>×</strong>ÚÒÝÜÔÒ<strong>×</strong>ÓÒÓØÑÓÙÐÖÓÖÑ¸Φ k<br />
˜Φ k<br />
(Z)ØØÖ<strong>×</strong>ÖÓÑØÓÒÙ<strong>×</strong>Ò¾℄ÙØÖ<strong>×</strong>ÛØ<br />
(Z) ≡ (ÚÓÐ⊥ 1 Φ k (˜Z) ,<br />
m)ÓÝÓÒ<strong>×</strong>ÛØØ<strong>×</strong>Ö<strong>×</strong><strong>×</strong><br />
˜z<br />
ÏÚÓ<strong>×</strong>ÒÒÓÖÑÐÞØÓÒÓÖ˜Φk ØÓÒÙ<strong>×</strong>Ò¿¼℄ºÓÒ<strong>×</strong>Ö1 4¹ÈËÝÓÒ<strong>×</strong>ÛØÖ<strong>×</strong>q eÒq m<strong>×</strong>ÙØØ2n =<br />
2m = q 2 mÒl=q e · q mºÌÒ¸ØÒÖÝd(n, ½<br />
ÛÖq= exp(2πiz<br />
g ρ (z 1 ) =<br />
∞∑<br />
m=1<br />
1<br />
nm<br />
= 1 ,<br />
m)<br />
2<br />
(Z)<br />
)<br />
1/2 z −k<br />
=<br />
1 = −1/z 1 , ˜z 2 = z 2 /z 1 , ˜z 3 = z 3 − z 2 2 /z 1 .<br />
l,<br />
1, 2, 3, 4, 5, 6, 7, 8, 11<br />
Nq 2 e¸
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