УК гд а Уж × в
УК гд а Уж × в
УК гд а Уж × в
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ÏÒØÓÐÐÓÛÒ ÔØÖ¿ºÃÅÄÐÖ<strong>×</strong><br />
ÛÖ Ò ´¿º½¾¼µ<br />
T Λ = e(Λ + ρ) ∑ ǫ(µ)e −µ Λ ′ = e ∑ Λ+ρ ǫ ′ (µ)e −µ ,<br />
ÓÖÒÝÃÅÄ<strong>×</strong>ÙÔÖÐÖº ´¿º½¾½µ<br />
ÒØÓÒ¿ººÓÖÒÝÃÅÄ<strong>×</strong>ÙÔÖÐÖG¸ ÁÒØÖÑ<strong>×</strong>ÓØÓÚÒØÓÒ<strong>×</strong>¸ÛÒØÒÓÑÒØÓÖÒ<strong>×</strong>ÙÔÖ¹ÒÓÑÒØÓÖÓÖÑÙÐ<br />
ǫ(µ) ′ (µ) = (−1)Ø0(µ) .<br />
Ò ´¿º½¾¾µ<br />
´¿º½¾¿µ<br />
(1 − e −α )ÑÙÐØ0(α)<br />
(1 + e −α )ÑÙÐØ1(α)<br />
(1 − e −α )ÑÙÐØ0(α)<br />
Ø<strong>×</strong>ÓÃÅÄ<strong>×</strong>ÙÔÖÐÖ<strong>×</strong>º ÖÖ<strong>×</strong>ÔØÚÐÝØÒÓÑÒØÓÖÓÖÑÙÐÒØ<strong>×</strong>ÙÔÖ¹ÒÓÑÒØÓÖÓÖÑÙк ÌØÓÑÔÐØ<strong>×</strong>ÓÙÖÒØÓÒÓØÒÓÑÒØÓÖÒ<strong>×</strong>ÙÔÖ¹ÒÓÑÒØÓÖÓÖÑÙÐÓÖ<br />
(1 − e −α )ÑÙÐØ1(α)<br />
<strong>×</strong>Ù<strong>×</strong><strong>×</strong>ØÜÑÔÐÓØÑÓÒ<strong>×</strong>ØÖÄÐÖ½¸℄Û<strong>×</strong>ÃÅÄÐÖ ¿ºº <strong>×</strong>ÒÜÑÔÐÓØÓÚÓÖÑÙÐÒØ<strong>×</strong>ØØÒÓÃÅÄ<strong>×</strong>ÙÔÖÐÖ¸ÛÛÐÐÖÝ ÌÅÓÒ<strong>×</strong>ØÖÄÐÖ<br />
<strong>×</strong>ÖÒØÔÝ<strong>×</strong>Ð<strong>×</strong>ØØ<strong>×</strong>ÓÓ<strong>×</strong>ÓÒ<strong>×</strong>ØÖÒÓÒØÓÖÙ<strong>×</strong>ºÁØ<strong>×</strong>ÖÓÓØÐØØ<strong>×</strong>¾ÑÒ<strong>×</strong>ÓÒÐ<br />
1,1ÛÖΛ<strong>×</strong>ØÄÐØØ<br />
ÙÒÕÙÚÒÙÒÑÓÙÐÖÄÓÖÒØÞÒÐØØÓÖÒ2º<br />
2mn´Ø<strong>×</strong> 1,1<strong>×</strong>Ø ÚÒÙÒÑÓÙÐÖÄÓÖÒØÞÒÐØØÒÓØII<br />
(n)<strong>×</strong>ØÒÙÑÖÓÔÖØØÓÒ<strong>×</strong>ÓnÒØÓÔÖØ<strong>×</strong>Ó24ÓÐÓÖ<strong>×</strong>ºÌÙ<strong>×</strong>¸<br />
25,1 = Λ ⊕ II<br />
ÛØÐÑÒØ<strong>×</strong>α=(λ, m, (λ ∈ ΛÒ(m, ∈ II 1,1<br />
2ºÌÖÑÙÐØÔÐØÝ<strong>×</strong>ÚÒÝ<br />
)ÛØÒÓÖÑα = λ 2 −<br />
ØÙÒÕÙÔÓ<strong>×</strong>ØÚÒØÐØØÓÖÒ24ÛØÒÓÒÓÖÑ2ÚØÓÖ<strong>×</strong>℄µºÒII ÌÖÓÓØ<strong>×</strong>ÓII 25,1ÖØÒÓÒ¹ÞÖÓÚØÓÖ<strong>×</strong>αÛØα2 ≤<br />
p 24<br />
∗<strong>×</strong>ØÙÐÓLº 0´ÑÓ2µºÐ<strong>×</strong>Ø<strong>×</strong><strong>×</strong>ØÓÓºÌ m)º<br />
(1 − α 2 /2)¸ÛÖp ½½½<br />
ÒÒØÖÐÐØØL<strong>×</strong><strong>×</strong>ØÓÚÒÓÖÐÐv∈ L¸(v, v) ≡<br />
ÑÒ<strong>×</strong>ÓÒÒ<strong>×</strong>ÒØÙÖÓLÖØÑÒ<strong>×</strong>ÓÒÒ<strong>×</strong>ÒØÙÖ¸Ö<strong>×</strong>ÔØÚÐݸÓØÖÐÚØÓÖ<strong>×</strong>ÔL ⊗<br />
ÛØØÐÒÖÓÖÑÒÙÖÓÑLºÐØØ<strong>×</strong>ÐÐÄÓÖÒØÞÒØ<strong>×</strong><strong>×</strong>ÒØÙÖ(m, 1)ÓÖ(1,<br />
ÐØØ<strong>×</strong>ÙÒÑÓÙÐÖÓÒL = ∗¸ÛÖL<br />
24<br />
∏<br />
∏<br />
∏<br />
∏<br />
= (−1)Ø(µ)<br />
Ò<br />
α∈L + 0<br />
α∈L + 1<br />
α∈L + 0<br />
α∈L + 1<br />
L<br />
=<br />
=<br />
T<br />
ǫ<br />
e−ρ ∑ w∈W<br />
e−ρ<br />
∑<br />
w∈W<br />
det(w) w(T),<br />
det(w) w(T ′ )<br />
2<br />
Z R
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