УК гд а Уж × в
УК гд а Уж × в
УК гд а Уж × в
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ÛÖ<br />
[<br />
ÔØÖ¾ºÓÙÒØÒÝÓÒ<strong>×</strong>ÒËØÖÒÌÓÖÝ<br />
ES ∗ (K3/Z N )(ρ, σ, ν) ] ∑<br />
−1<br />
≡ (−1) J ′ d D1 (Q 1 , L, J ′ ) e 2πi(σQ 1/N+ρL+νJ ′) ,<br />
Q 1 ,L,J ′<br />
[<br />
EÌÆ(ρ, ν) ] −1 ≡ 1 ∑<br />
(−1) j 0<br />
d CM (l 0 , j 0 ) e 2πil 0ρ+2πij 0 ν ,<br />
ÒÓÙÒØØØÝÓÒÒÖ<strong>×</strong>ÖÒÖØÝÒÙØÓÑÓÖÔÓÖÑÛÓÖ ÂÙ<strong>×</strong>ØÒ¸ÂØÖ¸ÒËÒÖÖÓÙØØÜÔÐØÓÙÒØÒÓØÓÚÔÖØØÓÒÙÒØÓÒ<strong>×</strong><br />
4<br />
l 0 ,j 0<br />
[ ] −1<br />
g(ρ) ≡ 1 ∑<br />
d KK (l 0 ′ 16<br />
) e2πil′ 0 ρ .<br />
l 0<br />
′<br />
ØÝÓÒÒÖ<strong>×</strong>ÖÒÖØÝÓØÖÑÓÙÐÖÓÖÑ<strong>×</strong>ºÌÒÖÐÓÖÑÓØÖ<br />
Z)Û<strong>×</strong>Ø<br />
4¹ÈË<strong>×</strong>ØØ<strong>×</strong><strong>×</strong> N¸ÓÛÚÖ¸ØÝÓÙÒ<br />
N = 1<strong>×</strong>ØÙÒÕÙÛØ10ÙØÓÑÓÖÔÓÖÑÓØÑÓÙÐÖÖÓÙÔSp(2, <strong>×</strong>ÑÓÒÓØÒÝÎκÓÖN > 1ÓØÓÖÓÐÒÖÓÙÔZ ,´¾ºµ<br />
Ö<strong>×</strong>ÙÐØÓÖØÒÖØÒÙÒØÓÒÓØÒÖ<strong>×</strong>Ó1<br />
˜Φ(˜ρ, ˜σ, ˜ν) = exp(2πi(˜α˜ρ + ˜γ˜σ + ˜ν))<br />
1∏<br />
N−1<br />
∏ ∏<br />
ÐÓÛºÏÛÐÐ<strong>×</strong>ÓÖØÐÝÓÑÔÙØØÓÚÕÙØÓÒÜÔÐØÐÝÝÓÑÔÙØÒÓØ<br />
<strong>×</strong><br />
[1 − exp{2πi(˜σk + ˜ρl + ˜νj)}] P N−1<br />
s=0 e−2πils/N c (r,s)<br />
b (4kl−j 2)<br />
Ô<strong>×</strong>Ò´¾º¾µº ÖÒØÖÓÙØØÛ<strong>×</strong>ØÐÐÔØÒÖ<strong>×</strong>ÛÛÐÐ<strong>×</strong><br />
b=0 r=0 k∈Z+ r N ,<br />
l∈Z,j∈2Z+b<br />
k,l≥0,j
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