УК гд а Уж × в
УК гд а Уж × в
УК гд а Уж × в
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ÔØÖºÓÒ<strong>×</strong>ØÖÙØÒØÅÓÙÐÖÓÖÑ<strong>×</strong><br />
ÜÔÖ<strong>×</strong><strong>×</strong>Ð<strong>×</strong>ÔÖÓÙØ<strong>×</strong>ÓÚÒÒÙ<strong>×</strong>¹ØÛÓØØÙÒØÓÒ<strong>×</strong> 4ÜÑÔÐÛÙ<strong>×</strong>ØÓÒ<strong>×</strong>ÖÖÐ<strong>×</strong>Ó<br />
´ºµ<br />
ËÑÐÖÐݸØËÐÑÓÙÐÖÓÖÑ<strong>×</strong>ÓÖØN =<br />
( ) 2 1<br />
Φ 3 (Z) =<br />
8 θ 5 (2Z) θ 7 (2Z) θ 9 (2Z) ≡ [ ∆ 3/2<br />
´ºµ<br />
(Z) ]2 .<br />
]<br />
ÓÚÒÒÙ<strong>×</strong>¹ØÛÓØØÓÒ<strong>×</strong>ØÒØ<strong>×</strong>Ø<strong>×</strong>ÔÖÓÚ<strong>×</strong>ÒÒÔÒÒØÛÝØÓ<strong>×</strong>ØØØÖ<br />
(Z)Ö<strong>×</strong>ÕÙÖ<strong>×</strong>ÓÔÖÓÙØ<strong>×</strong><br />
2<br />
.<br />
ÛÖZ ′<br />
ÓÒ<strong>×</strong>ØÒØ<strong>×</strong>ØÓÖÐÝÔÓÛÖºÌÖÔÖ<strong>×</strong>ÒØØÓÒÓØÑÓÙÐÖÓÖÑ<strong>×</strong>ÒØÖÑ<strong>×</strong>ÓØ<br />
4ºÏÚÚÖØ<strong>×</strong>ÓÖÑÙÐÝÓÑÔÖÒ<br />
ÚÒÒÙ<strong>×</strong>¹ØÛÓÑÓÙÐÖÓÖÑ<strong>×</strong>Ú<strong>×</strong>Ù<strong>×</strong>ÝØÒÓØÖÛÝØÓÓØÒØÑÓÙÐÖÓÖÑ<strong>×</strong>º ØÜÔÒ<strong>×</strong>ÓÒ<strong>×</strong>ÖÓÑØØÚÐØØÓØÓÒÚÒÒØÖÑ<strong>×</strong>ÓÚÒÒÙ<strong>×</strong>¹ØÛÓØØ<br />
ÁØ<strong>×</strong>ÔÐ<strong>×</strong>ÒØÓÒÓØØØØÓÖÑÙÐÓÖΦ k (Z)Ò˜Φk <strong>×</strong>ÕÙÖ¹ÖÓÓØ<strong>×</strong>ÖÛÐйÒÓÖN = 1, 2,<br />
º (Z)ºÌÔÖÓÙØ<br />
K3<strong>×</strong>Ò<strong>×</strong>¿ (Z)ÒÚÒÒØÖÑ<strong>×</strong>ÓØÓÒØ<strong>×</strong>ÓØÓÙÖÖ<br />
ÈÖÓÙØÓÖÑÙÐÓÖΦ k (Z)Ò˜Φk N¹ÓÖÓÐÓ<br />
(Z)ÒΦ ÆÜØÛÓÑØÓØÔÖÓÙØÓÖÑÓØÑÓÙÐÖÓÖÑ<strong>×</strong>˜Φk k<br />
ÓÖÑÙÐÓÖΦ k (Z)<strong>×</strong>ÛÐÐ<strong>×</strong>˜Φk ÜÔÒ<strong>×</strong>ÓÒÓØØÛ<strong>×</strong>ØÐÐÔØÒÖ¿¾℄ºÌØÛ<strong>×</strong>ØÐÐÔØÒÙ<strong>×</strong>ÓÖZ ÓÛØÞÖÓ¸ÒÜÓÒÒÐÚÐN¿¾℄º )ºÌØÛ<strong>×</strong>ØÐÐÔØÒÖÖÛÂÓÓÖÑ<strong>×</strong> ÛÖgÒÖØ<strong>×</strong>Z NÒq = exp(2πız 1<br />
Z)ºÌÒ¸ÓÒ<strong>×</strong><br />
)ÝÙ<strong>×</strong>ÓØÖØÖÒ<strong>×</strong>ÓÖÑØÓÒÔÖÓÔÖØ<strong>×</strong>ÙÒÖ ÏÛÐÐÒØÓÓÑÔÙØØF m,n (z 1 , z<br />
½¼¾℄ ¿ÌÓÖÒÓØ<strong>×</strong>ØÛ<strong>×</strong>ØÐÐÔØÒÖÖÒØÖ<strong>×</strong>ÓÐÓÖÖØÓÒ<strong>×</strong>Ò<strong>×</strong>ØÖÒØÓÖݸ¸½¼¼¸½¼½¸<br />
2<br />
´º¼µ ØÑÓÙÐÖÖÓÙÔºÄØγ= ( ) ∈ SL(2,<br />
½<br />
Ò<br />
˜Φ3<br />
)º<br />
( ) 2 1<br />
(Z) =<br />
4 θ 8 (Z ′ ) θ 3 (Z ′ ) θ 9 (Z ′ ) ≡<br />
(<br />
1<br />
2<br />
=<br />
z 1 z 2<br />
z 2 2z 3<br />
[˜∆3/2 (Z)<br />
(Z)<br />
´ºµ<br />
F m,n (z 1 , z 2 ) = 1 ((−)<br />
NÌÖRR,g F L+F R m g n q L0¯q ) ¯L 0<br />
e 2πızF L<br />
, 0 ≤ m, n ≤ (N − 1) ,<br />
a<br />
c d b<br />
F m,n (z 1 , z 2 ) ∣ = F am+cn,bm+dn (z 1 , z 2 ) .<br />
γ
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