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ÔØÖºÊ<strong>×</strong>ÙÐØ<strong>×</strong>ÓØÌ<strong>×</strong><strong>×</strong><br />

ÛÖØη¹ÔÖÓÙØ<strong>×</strong>Ö<strong>×</strong>Ù<strong>×</strong><strong>×</strong>º<br />

(<br />

1<br />

ÛÖZ ′ 2<br />

=<br />

z 1 z 2<br />

2¹ÈË<strong>×</strong>ØØ<strong>×</strong><strong>×</strong>ÚÒÝÑÙÐØÔÐØÚη¹ÔÖÓÙØ<strong>×</strong>º<br />

(Z)ÒØÒÜØÔÓÒØ<br />

(Z)ÒΦ Ï<strong>×</strong>Ù<strong>×</strong><strong>×</strong>ØØÚÐØÓÖØÑÓÙÐÖÓÖÑ<strong>×</strong>˜Φ3<br />

<strong>×</strong>ÛÐÐ<strong>×</strong>Å<strong>×</strong>ÓÒ℄ºÁÒØÓÒ¸ØÓÒØÙÖÓÖÓÒ<strong>×</strong>ØÖÙØÒع<br />

K3ÛÖÚÒÜØÒÒÖ<strong>×</strong>ÙÐØ<strong>×</strong>ÙØÓÙÑÑظÃ<strong>×</strong>ÐÚ<strong>×</strong>ÝÒÅÃÝ¿℄ ÁÒ℄Øη¹ÔÖÓÙØ<strong>×</strong>ÓÖÐÐÖÓÙÔ<strong>×</strong>ØØÖ<strong>×</strong><strong>×</strong><strong>×</strong>ÝÑÔÐØÒÚÓÐÙØÓÒ<strong>×</strong>Ó<br />

3<br />

•ÌÒÖØÒÙÒØÓÒÓ1<br />

ÓÖÐÐN¸ÒØÖÑ<strong>×</strong>ÓØÑÙÐØÔÐØÚη¹ÔÖÓÙØ<strong>×</strong>¸Û<strong>×</strong>ÔÖÓÔÓ<strong>×</strong>ÒØ<br />

(Z)ÓÒ<strong>×</strong>ØÖÙØÖÓÑغ ØÚÐØÐÒØÓØËÐÑÓÙÐÖÓÖÑ<strong>×</strong>Φ k (Z)ÛÒG = (Z)Ò˜Φk<br />

<strong>×</strong>ÚÒ<strong>×</strong> NÀÄ ÑÓÙÐÖÓÖÑ<strong>×</strong>Φ 3 (Z)Ò˜Φ3 ÌÒÖØÒÙÒØÓÒÓÖØÒÖ<strong>×</strong>d(n)Ó1 2¹ÈË<strong>×</strong>ØØ<strong>×</strong>ÓÖØZ (τ)ÒØÓÖÑÓÒη¹ÔÖÓÙØ ´º½µ ÓÖÓиØÒÒØÓÓÙÒØØØØÐØÖÖ<strong>×</strong>ÕÙÒØÞ<strong>×</strong>ÙØØNq 2<br />

16<br />

ÁØÛ<strong>×</strong><strong>×</strong>ÓÛÒØØÒÒ<strong>×</strong>ØÞÓÖg ÛØÐÒÝÐ<strong>×</strong>Ô<strong>×</strong><strong>×</strong>Ø<strong>×</strong>ÝÒÖØÒØÓÒÐÓÒØÓÒ<strong>×</strong>Ú<strong>×</strong>ØÓÖÖØ ´º½µ<br />

2¹ÈË<strong>×</strong>ØØ<strong>×</strong>ÒÐÐÀÄÑÓÐ<strong>×</strong>ÛÖØÝÐ<strong>×</strong>Ô<strong>×</strong>Ö<strong>×</strong>ÖÓÑ<br />

ρ<br />

(K3)´ÒØÙÐ<strong>×</strong>ÖÔØÓÒÓØÀÄÓÖÓÐ<br />

2µ¸ÒÐÙÒÔÖÓÙØ ÒÖÝÓÖØ1 ØØÓÒÓÆÙÐÒÒÚÓÐÙØÓÒ<strong>×</strong>ÓÒH∗ <strong>×</strong><strong>×</strong>ÙÔÖ<strong>×</strong>ÝÑÑØÖÓÖÓÐÓØÝÔÁÁ<strong>×</strong>ØÖÒØÓÖÝÓÒK3 <strong>×</strong> T<br />

ÖÓÙÔ<strong>×</strong><strong>×</strong>Ù<strong>×</strong>Z M<br />

r<strong>×</strong>Ø<strong>×</strong>Ý 2)¸<strong>×</strong>Ø<strong>×</strong><strong>×</strong>ØÓÐÐÓÛÒÓÒØÓÒ<strong>×</strong> ÌÑÓÙÐÖÓÖÑg ρ (τ)¸ÓÛØ(k<br />

´º½µ<br />

½ºÌÓÒØ<strong>×</strong>a ) −1<br />

½¼<br />

=ÚÓÐ⊥<br />

z 2 2z 3<br />

)º<br />

g ρ (τ/N) ≡<br />

∞<br />

∑<br />

n=−1<br />

d(n) q n/N .<br />

g ρ (τ)<br />

Nº<br />

N∏<br />

= η(rτ) ar = η(τ) a 1<br />

η(2τ) a2 · · ·η(Nτ) a N<br />

.<br />

r=1<br />

<strong>×</strong> Z<br />

+<br />

(<br />

Na1 + N a 2<br />

2<br />

+ · · · + a N<br />

)<br />

= 24 ,<br />

a 1 + a 2 + · · · + a N = 2(k + 2) ,<br />

(<br />

1<br />

a 1<br />

2 a2 · · ·N a N<br />

,<br />

2Z¸<br />

Z N<br />

e ∈

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