УК гд а Уж × в
УК гд а Уж × в
УК гд а Уж × в
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l)<strong>×</strong><strong>×</strong>ÒÝØÓÚÕÙØÓÒµ ÔØÖºÓÒ<strong>×</strong>ØÖÙØÒØÅÓÙÐÖÓÖÑ<strong>×</strong><br />
Ì<strong>×</strong>Ö<strong>×</strong>ÙÐØ<strong>×</strong>ÓÖÒÐÐÝÙØÓÂØÖÒËÒ¾℄ ´º¿¾µ ÌØÚÐØ<strong>×</strong>´a(n,<br />
, l d d)<br />
q n r l s m . 2<br />
4ºÌ<strong>×</strong>ÓÖØØÚÐØ<strong>×</strong><br />
l)<strong>×</strong><strong>×</strong>ÒÝØÓÚÕÙØÓÒµ ´º¿¿µ ÖÓÑÌк¿¸Û<strong>×</strong>ØØk= 3ÓÖN =<br />
´º¿µ ÌØÚÐØ<strong>×</strong>´a(n,<br />
, l d d)<br />
q<br />
(γ)ÛÖ<br />
n r l s m , 2<br />
ÛÖØÂÓ<strong>×</strong>ÝÑÓÐ( )<strong>×</strong>+1ÛÒd=1ÑÓ4−1ÛÒd=3ÑÓ4Ò0<br />
−1<br />
d<br />
ÓØÖÛ<strong>×</strong>ºÌ<strong>×</strong>ËÐÑÓÙÐÖÓÖÑÛØÐÚÐÓÙÖÒÖØÖψ Z)℄º ´º¿µ<br />
4<br />
)ÓÖγ=<br />
(<br />
ÛÖG 0<br />
6ºÌ<strong>×</strong>ÓÖØØÚÐØ<strong>×</strong><br />
(4)<strong>×</strong>ØÐÚÐÓÙÖ<strong>×</strong>ÙÖÓÙÔÓSp(2,<br />
l)<strong>×</strong><strong>×</strong>ÒÝØÓÚÕÙØÓÒµ ´º¿µ ÖÓÑÌк¿¸Û<strong>×</strong>ØØk= 2ÓÖN =<br />
ÌØÚÐØ<strong>×</strong>ØÒ´a(n,<br />
N = 4<br />
N = 6<br />
Φ k (Z) ≡<br />
∑<br />
(n,l,m)>0<br />
∑<br />
d|(n,l,m)<br />
( −1<br />
d<br />
)<br />
d k−1 a ( nm<br />
φ 3,1 (z 1 , z 2 ) = ϑ 1(z 1 , z 2 ) 2<br />
η(2z<br />
η(z 1 ) 2 1 ) 2 η(4z 1 ) 4 = ∑ a(n, l) q n r l .<br />
n,l<br />
Φ 3 (Z) ≡<br />
∑<br />
(n,l,m)>0<br />
( −1<br />
ψ 4 (γ) =<br />
detD<br />
∑<br />
d|(n,l,m)<br />
( −1<br />
d<br />
)<br />
d k−1 a ( nm<br />
)<br />
A B<br />
∈ G 0 (4) ,<br />
C D<br />
φ 2,1 (z 1 , z 2 ) = ϑ 1(z 1 , z 2 ) 2<br />
η(2z<br />
η(z 1 ) 4 1 ) 2 η(3z 1 ) 2 η(6z 1 ) 2 = ∑ a(n, l) q n r l .<br />
n,l<br />
Φ 2 (Z) ≡<br />
∑<br />
(n,l,m)>0<br />
∑<br />
d|(n,l,m)<br />
d=1,5ÑÓ6<br />
d k−1 a ( nm<br />
d 2 , l d<br />
)<br />
q n r l s m . ´º¿µ<br />
½½
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