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j)×ÚÒÝ ´¾ºµ ÁÒØÖÑ×ÓØÓÒØ×c (r,s)
b¸n(w, l,
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b
(4lw/N − j 2 ), r = w mod N, b ≡ j mod2.
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ÒÚÙÐ1¹ÖÒ×ÖÖÝÒÕÙÒØÙÑÒÙÑÖ×(W i , l i , j i
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j i , w i , l i , j i ∈ Z, w i ≥ 1, l i ≥ 0.
Ø×Ø×ØÓÖÑ ´¾ºµ ÁÒØÖÑ×ÓØÓÒØ×c (r,s)
b
N−1
∑
n(w, l, j) = e −2πısl/N c (r,s)
s=0
ÑÓÑÒØÙÑÐÓÒS 1Ò˜S1−L/NÒJ
∑
W = ∑ i
w i ,
L = ∑ i
l i ,
J ′ = ∑ i
W,L,J ′ d D1 (W, L, J ′ )(−1) J ′ e 2πı(eσW/N+eρL+eνJ ′) =
D1
∏
w,l,j∈Z;w>0,l≥0
(W, L, J ′ )
(1 − e 2πı(eσw/N+eρl+eνj) ) −n(w,l,j) .
′
∑
d D1 (W, L, J ′ )(−1) J ′ e 2πı(eσW/N+eρL+eνJ ′ )
Ì××ØÔÖØØÓÒÙÒØÓÒÓÖ×ØØ×××ÓØÛØØÑÓØÓÒÓØ1¹ÖÒ×ÒØ
W,L,J ′
ÔÐÒÓØ5¹ÖÒº
N−1
∏
N−1
∏ ∏ (
)
P − N−1
=
1 − e 2πı(eσk′ s=0 +eρl+eνj)
e2πısl/N c (r,s)
r=0 b=0 k ′ ∈Z+ r N ,l∈Z,
j∈2Z+b;k ′ >0,l≥0
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b (4lk ′ −j 2 )´¾ºµ