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0ÐÓÒ˜S1º<br />

ÌÙ<strong>×</strong>¸ÛÚ 11¹ÖÒ<strong>×</strong>ÒØÛÓÖÐÚÓÐÙÑÓعÖÒÖÖÝÒÑÓÑÒ¹<br />

′ÐÓÒ˜S1º ÖÖÝÒÑÓÑÒØÙÑ−l 0 /NÐÓÒS1Òj ¿ºÌÑÓØÓÒÓØQ ØÙÑ−L/NÐÓÒS 1ÒJ <strong>×</strong>Ø<strong>×</strong>ÓÖ<strong>×</strong>ÓÖÓÑÒÓØÒØÒÖØÒÙÒØÓÒÓÝÓÒÒÖ<strong>×</strong>ÓØ ´¾º¼µ<br />

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˜ν)ÒÓØØÒÖØÒÙÒØÓÒÓØÛÓÐ<strong>×</strong>Ý<strong>×</strong>ØÑ<br />

l 0 ′ + l 0 + L = k , j 0 + J ′ = J .<br />

ÌÒ¸ÖÓÑØÓÚÖÙÑÒØØ<strong>×</strong>ÚÒÝ ´¾º½µ<br />

ÄØf(˜ρ, ˜σ,<br />

.<br />

).´¾º¾µ<br />

ÒØÖÓÙÒÓØÃÐÙÞ¹ÃÐÒÑÓÒÓÔÓдºº¸Ø<strong>×</strong>ÑÓØÓÒÒÌÙ¹ÆÍÌ<strong>×</strong>Ôµ¸Ò<br />

11¹ÖÒ<strong>×</strong>ÑÓÚÒÒØÔÐÒÓØ5¹<br />

d KK (l 0) ′ e 2πil′ 0 ρ<br />

)<strong>×</strong>ØÒÖÝ<strong>×</strong><strong>×</strong>ÓØÛØØÜØØÓÒ<strong>×</strong>ÓØÃÐÙÞ¹ÃÐÒÑÓÒÓÔÓк<br />

)<strong>×</strong>ØÒÖÝ<strong>×</strong><strong>×</strong>ÓØÛØØÓÚÖÐÐÑÓØÓÒÓØ1¹5<strong>×</strong>Ý<strong>×</strong>ØÑ ÛÖd D1 (Q 1 , L, J ′ )<strong>×</strong>ØÒÖÝÓØQ ÖÒ¸d CM (l 0 , j 0<br />

4¹ÈË<strong>×</strong>ÙÔÖÑÙÐØÔÐغÄØÙ<strong>×</strong>ÛÖØ<br />

d KK<br />

´¾º¿µ<br />

(l 0 ′<br />

ÌØÓÖÓ1/64ÖÑÓÚ<strong>×</strong>ØÒÖÝÓ<strong>×</strong>ÒÐ1<br />

f(ρ, σ, ν) = ∑<br />

k,Q 1 ,J<br />

[ ]<br />

d(q e ,q m ) e 2πi σ(Q 1 −1)/N+ρk+νJ<br />

f (˜ρ, ˜σ, ˜ν) = 1 ( ∑<br />

)<br />

64 e−2πiσ/N (−1) J ′ d D1 (Q 1 , L, J ′ ) e 2πi(σQ 1/N+ρL+νJ ′ )<br />

Q 1 ,L,J<br />

( ∑<br />

′ )(∑<br />

(−1) j 0<br />

d CM (l 0 , j 0 ) e 2πil 0ρ+2πij 0 ν<br />

l 0 ,j 0<br />

ν)<strong>×</strong> f(ρ, σ,<br />

f(ρ,<br />

σ, ν) = [ Ê S ∗ (K3/Z N )(ρ, σ, ν) <strong>×</strong> EÌÆ(ρ, ν) <strong>×</strong> g(ρ) ] −1 .<br />

l ′ 0<br />

¿

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