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In article <0b38147e-7f13-4f58-aa96-b9c8cc02938a@v17g2000yqv.googlegroups.com>
KyokoYoshida <kyokoyoshida123@gmail.com> writes:
> $B$D$^$j(B,$B&F4X?t$O(BRe(z)$B$G9-5A0lMM<}B+$9$k5i?t$@$C$?$N$G$9$M!#(B

$B%r7o$rK~$?$95i?t$r%e$NM-M}7A4X?t$G$"$k$H$O(B,
 D $BFb$N=8@QE@$r;}$?$J$$=89g(B S $B$r(B D $B$+$i=|$$$?(B
 D \setminus S $B$GDj5A$5$l$F$$$kJ#AG?tCM4X?t(B
 f : D \setminus S \to C \xE3^A$B',(B
 D \setminus S $B>e$G@5B'$G$"$j(B,
( S $B$N3FE@(B s $B$O(B f $B$N8IN)FC0[E@$G$9$+$i(B, $B??@-FC0[E@$G$"$k$+(B,
$B6K$G$"$k$+(B, $B=|5n2DG=FC0[E@$G$"$k$+(B, $B$G$9$,(B)
 S $B$N3FE@(B s $B$O(B f $B$N9b!96K$G$"$k(B,
($B$D$^$j(B, $B??@-FC0[E@$G$O$J$/(B, $B6K$G$"$k$+(B, $B=|5n2DG=FC0[E@$G$"$k(B)
$B$H$$$&$3$H$G$9(B.

> {z$B":(BC;Re(z)>1}$B$G$O&F4X?t$O@5B'$J$N$G(B($B"h>e5-$N$4@bL@$h$j(B)
> {z$Bch$(D??(B;Re(z)>1}
> http://beauty.geocities.jp/yuka26076/study/Number_Theory/img004.jpg
> $B$G$OFC0[E@$r;}$?$J$$$N$G$9$h$M!#(B

$B$O$$(B.

> > $B@5B'4X?t$H$7$F$O(B C $B$+$i(B z = 1 $B$r=|$$$?=j$GDj5A$5$l$?(B
> > $B4X?t$H$J$j$^$9(B.
> 
> $B$D$^$j(B,$B&F4X?t$NDj5A0h$ODL>o(B{z$B":(BC;Re(z)>1}$B$@$,(B

 Re(z) > 1 $B$GDj5A$5$l$k$N$O(B \sum_{n=1}^\infty 1/n^z
$B$H$$$&I=<($GDj5A$5$l$k4X?t$G$9(B.

> $B@5B'4X?t$H$7$F$N&F4X?t$NDj5A0h$O(BC$B".(B{1}$B$H$J$k$N$G$9$M!#(B

$B0c$$$^$9(B.
$B%e$NM-M}7?4X?t$G$9(B.
$B




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