Path: news.ccsf.jp!tomockey.ddo.jp!border3.nntp.dca.giganews.com!border1.nntp.dca.giganews.com!nntp.giganews.com!npeer01.iad.highwinds-media.com!news.highwinds-media.com!feed-me.highwinds-media.com!postnews.google.com!e20g2000vbn.googlegroups.com!not-for-mail
From: KyokoYoshida <kyokoyoshida123@gmail.com>
Newsgroups: fj.sci.math
Subject: Re: $B&F (B(s)= $B&2 (B_{k=1}^ $B!g (B1/n^s $B$NCM0h$HHFJ}Dx<0$NDj5A$K$D$$$F
 (B
Date: Wed, 12 Jan 2011 15:21:11 -0800 (PST)
Organization: http://groups.google.com
Lines: 6
Message-ID: <36b8bc16-5a76-4a06-b0a9-c28d22449ffe@e20g2000vbn.googlegroups.com>
References: <6689aade-c32c-445a-96bc-2011aba578a7@f35g2000vbl.googlegroups.com>
 <110112183718.M0126862@ras1.kit.ac.jp> <e53c4577-f480-4121-9262-9f39f0068cce@s9g2000vby.googlegroups.com>
NNTP-Posting-Host: 219.111.67.36
Mime-Version: 1.0
Content-Type: text/plain; charset=ISO-2022-JP
Content-Transfer-Encoding: 7bit
X-Trace: posting.google.com 1294874472 7445 127.0.0.1 (12 Jan 2011 23:21:12 GMT)
X-Complaints-To: groups-abuse@google.com
NNTP-Posting-Date: Wed, 12 Jan 2011 23:21:12 +0000 (UTC)
Complaints-To: groups-abuse@google.com
Injection-Info: e20g2000vbn.googlegroups.com; posting-host=219.111.67.36; posting-account=WW-P-goAAADS1u9yskwAcJfIST-zvGgd
User-Agent: G2/1.0
X-HTTP-UserAgent: Mozilla/4.0 (compatible; MSIE 8.0; Windows NT 5.1;
 Trident/4.0; YTB730; .NET CLR 2.0.50727; InfoPath.2; .NET CLR 3.0.4506.2152;
 .NET CLR 3.5.30729),gzip(gfe)
Xref: news.ccsf.jp fj.sci.math:3209

たびたびすいません。

ゼータ関数はの定義域は{z∈C;Re(z)>1}の場合とC全体の場合の2種類があるのでしょうか?

それなら
ゼータ関数 ζ:C→? の場合の定義域は何になるのでしょうか?