УК гд а Уж × в
УК гд а Уж × в
УК гд а Уж × в
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B<br />
<strong>×</strong>Ò<strong>×</strong>ØÒËÖ<strong>×</strong>ØÐÚÐN<br />
º½ Z)ºÁØ<strong>×</strong>ÚÒÝ ÈÖÑN ÄØE 2 ∗(τ)ÒÓØØÛØØÛÓÒÓÒ¹ÓÐÓÑÓÖÔÑÓÙÐÖÓÖÑÓSL(2, dlºÌÓÑÒØÓÒ ´º½µ<br />
πÁÑτ ,<br />
´º¾µ ÛÖσ l (n) = ∑ 1≤d|n<br />
Ø<strong>×</strong>Ò<strong>×</strong>ØÒ<strong>×</strong>Ö<strong>×</strong>ÔÖÓÙ<strong>×</strong>ÛØØÛÓÑÓÙÐÖÓÖѺÓÖÜÑÔн¸<br />
(N)ÛØÓÒ<strong>×</strong>ØÒØÓÒØÕÙÐØÓ1½¾¾¸<br />
∂<br />
]<br />
π(N−1) τ[<br />
ln η(τ) − lnη(Nτ)<br />
1¸ <strong>×</strong>ÛØØÛÓÓÐÓÑÓÖÔÑÓÙÐÖÓÖÑÓΓ 0<br />
ÌÓÖѺ℄ºÆÓØØÒÐÐØÓÒÓØÒÓÒ¹ÓÐÓÑÓÖÔÔ<strong>×</strong>ºÌÙ<strong>×</strong>¸ØÐÚÐN <strong>×</strong>ØÛعØÛÓ<strong>×</strong>Ò<strong>×</strong>ØÒ<strong>×</strong>Ö<strong>×</strong>ØÐÚÐ2ºØÐÚÐ<strong>×</strong>3Ò5¸ÓÒ<strong>×</strong> ´º¿µ<br />
><br />
˽¾¿℄ºÏÖÖØÙÐØÓØÙØÓÖ<strong>×</strong>ÓËÓÖÑÒØÖ<strong>×</strong>ÓØÛÖÖÐÝÚÐкÁØÛ<strong>×</strong><strong>×</strong>Ý ÓÖÙ<strong>×</strong>ØÓÚÖÝÕº´º½¼µÙ<strong>×</strong>ÒËØÓØ<strong>×</strong>ÖÓÖÖº ½ÐÐÜÔÒ<strong>×</strong>ÓÒ<strong>×</strong>ÓÖØ<strong>×</strong>Ò<strong>×</strong>ØÒ<strong>×</strong>Ö<strong>×</strong>ÚÒÖÚÒÓØÒÙ<strong>×</strong>ÒØÑØÑØ<strong>×</strong><strong>×</strong>ÓØÛÖ ´ºµ<br />
¾¼½<br />
∞<br />
E2 ∗ (τ) = 1 − 24 ∑<br />
σ 1 (n) q n + 3<br />
n=1<br />
E N (τ) = 1<br />
)<br />
(NE 2 ∗ N − 1<br />
(Nτ) − E∗ 2 (τ)<br />
= 12i<br />
E 2 (τ) = 1 + 24q + 24q 2 + 96q 3 + 24q 4 + 144q 5 + 96q 6 + · · ·<br />
E 3 (τ) = 1 + 12q + 36q 2 + 12q 3 + 84q 4 + 72q 5 + 36q 6 + · · ·<br />
E 5 (τ) = 1 + 6q + 18q 2 + 24q 3 + 42q 4 + 6q 5 + 72q 6 + · · ·
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