УК гд а Уж × в

ÔØÖºÓÒ×ØÖÙØÒØÅÓÙÐÖÓÖÑ×
k ˜ρ ρ χ ( a c d b ) N G
2 1 −8 2 16 1 16 2 −8 2 Z 2
(
1 1 −3 3 9 1 9 3 −3 −3
)
3 Z
d
3
(
1 1 −4 2 6 4 4 1 4 2 6 4 −4 −1
)
ºº¾ ÈÖÓÙØÓÖÑÙÐÓÖØØÝÔÁÁÑÓÐ×
5ρ×ØÖÑ×Ô¸k+2×ØÛØÓØη¹ÕÙÓØÒغ
4 Z
d
4
0 1 −1 5 5 1 5 5 −1 5 Z 5
3ØÝÔÁÁÑÓÐ׿½℄º
Ìкη¹ÕÙÓØÒØ×ÛØN ≤
Õº´º¿µÒ´ºµØÓÒØ×Ù×ÖÓÛÚÖØÓ×ÖÓÑØØÝÔÁÁØÛ×Ø
(Z)ÖÒØÐØÓØÓ×ÔÔÖÒÒØÀÄÑÓÐ×
z)¸Ú¸ÂØÖÒËÒÒ
4ºÌ Ú¸ÂØÖÒËÒÚÔÖÓÚÔÖÓÙØÓÖÑÙÐÓÖØN = 2,
×ÓÖØÀÄÑÓÐ׸ØÖÖÚÒÒØÖÑ×ÓØØÛ×ØÐÐÔØÒÙ×ÓÖT ÔÖÓÙØÓÖÑÙÐÓÖΨ k (Z)Ò˜Ψk ÐÐÔØÒÙ׺ÓÖN = 2, 3¸F (r,s) (τ,
F (0,0) (τ, z) = 0
F (0,s) (τ, z) = 16 ( πs
)
( ) ( )
ϑ1 τ, z +
s ϑ1
N sin4 N τ, −z +
s
N
(
N ϑ s
) 2
1 N
ÓÖ1 ≤ s ≤ N − 1,
ÌØÛ×ØÐÐÔØÒÖÓÖØÝÔÁÁÑÓÐ×ÒÖÛÖØØÒÒØÖÑ×ÓØÐÐÔØÒÖ
(
F (r,s) 4 N ϑ 1 τ, z +
s
(τ, z) =
+ r τ) (
ϑ
N N 1 τ, −z +
´ºµ
s
+ r τ) N N
(N − 1) 2 (
ϑ s
1 + r τ) 2
,
ÛÖØØÒ× z)Ò
N N
ÓÖ1 ≤ r ≤ N − 1¸0 ≤ s ≤ N − 1 .
ØØÔÔÖÒØÀÄÑÓÐ׺ÓÖØZ 3ÓÖÓÐÓØØÝÔÁÁÑÓиØÝÒÛÖØØÒ×
2ÓÖÓÐÓØØÝÔÁÁÑÓиF (r,s) (τ,
F (r,s)
II
(τ, z) = 2F (r,s)
(r,s)
N=2 CHL
(τ, z) − F
ËÐÑÓÙÐÖÓÖÑ×ÓÖØÀÄÑÓÐ׺ÁÒÓÖÖØÓ×Ø׸ÛÖÛÖØØη¹ÕÙÓØÒØ× 3ÒÛÖØØÒÒØÖÑ×ÓØ
ÒÓÖØZ F (r,s)
II
(τ, z) = 3 2 F (r,s)
N=3 CHL (τ, z) − 1 2 F (r,s)
Ì×ÑÔÐ×ØØØØÝÔÁÁÑÓÙÐÖÓÖÑ×ÓÖN = 2,
½
´ºµ
´º¼µ
N=1 Het. (τ, z),
N=1 Het. (τ, z).