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Date(投稿日時):Subject(見出し):From(投稿者):
34022011/06/17Re: L(r,χ)=1/(r-1)!・(-2πi/N)^r・1/2Σ_{a∈Z_N^×}χ(a)h_r(ζ_N^a)の証明chiaki@kit.ac.jp (Tsukamoto Chiaki)
34012011/06/17Re: L(r, $B&V (B)=1/(r-1)! $B!& (B(-2 $B&P (Bi/N)^r $B!& (B1/2 $B&2 (B_{a $B": (BZ_N^ $B!_ (B} $B&V (B(a)h_r( $B&F (B_N^a) $B$N>ZL@ (BKyokoYoshida <kyokoyoshida123@gmail.com>
34002011/06/16Re: L(r,χ)=1/(r-1)!・(-2πi/N)^r・1/2Σ_{a∈Z_N^×}χ(a)h_r(ζ_N^a)の証明chiaki@kit.ac.jp (Tsukamoto Chiaki)
33992011/06/16Re: L(s,χ)の複素平面全体への定義の拡張についてchiaki@kit.ac.jp (Tsukamoto Chiaki)
33982011/06/16Re: L(s,χ)=Σ_{a=1}^N χ(a)ζ_{amodN}(s) (但し,χ∈DC(N),s∈C)を示せchiaki@kit.ac.jp (Tsukamoto Chiaki)
33962011/06/16Re: L(s, $B&V (B) $B$NJ#AGJ?LLA4BN$X$NDj5A$N3HD%$K$D$$$F (BKyokoYoshida <kyokoyoshida123@gmail.com>
33952011/06/16Re: L(s, $B&V (B) $B$NJ#AGJ?LLA4BN$X$NDj5A$N3HD%$K$D$$$F (BKyokoYoshida <kyokoyoshida123@gmail.com>
33942011/06/16Re: L(s, $B&V (B)= $B&2 (B_{a=1}^N $B&V (B(a) $B&F (B_{amodN}(s) ( $BC"$7 (B, $B&V": (BDC(N),s $B": (BC) $B$r<($; (BKyokoYoshida <kyokoyoshida123@gmail.com>
33932011/06/16Re: L(s, $B&V (B) $B$NJ#AGJ?LLA4BN$X$NDj5A$N3HD%$K$D$$$F (BKyokoYoshida <kyokoyoshida123@gmail.com>
33922011/06/16Re: L(r, $B&V (B)=1/(r-1)! $B!& (B(-2 $B&P (Bi/N)^r $B!& (B1/2 $B&2 (B_{a $B": (BZ_N^ $B!_ (B} $B&V (B(a)h_r( $B&F (B_N^a) $B$N>ZL@ (BKyokoYoshida <kyokoyoshida123@gmail.com>
33912011/06/14Re: L(s,χ)の複素平面全体への定義の拡張についてchiaki@kit.ac.jp (Tsukamoto Chiaki)
33902011/06/14Re: L(s,χ)=Σ_{a=1}^N χ(a)ζ_{amodN}(s) (但し,χ∈DC(N),s∈C)を示せchiaki@kit.ac.jp (Tsukamoto Chiaki)
33892011/06/14Re: L(r,χ)=1/(r-1)!・(-2πi/N)^r・1/2Σ_{a∈Z_N^×}χ(a)h_r(ζ_N^a)の証明chiaki@kit.ac.jp (Tsukamoto Chiaki)
33882011/06/14Re: L(s, $B&V (B) $B$NJ#AGJ?LLA4BN$X$NDj5A$N3HD%$K$D$$$F (BKyokoYoshida <kyokoyoshida123@gmail.com>
33872011/06/14Re: L(s, $B&V (B)= $B&2 (B_{a=1}^N $B&V (B(a) $B&F (B_{amodN}(s) ( $BC"$7 (B, $B&V": (BDC(N),s $B": (BC) $B$r<($; (BKyokoYoshida <kyokoyoshida123@gmail.com>
33862011/06/14Re: L(r, $B&V (B)=1/(r-1)! $B!& (B(-2 $B&P (Bi/N)^r $B!& (B1/2 $B&2 (B_{a $B": (BZ_N^ $B!_ (B} $B&V (B(a)h_r( $B&F (B_N^a) $B$N>ZL@ (BKyokoYoshida <kyokoyoshida123@gmail.com>
33852011/06/13Re: L(s,χ)=Σ_{a=1}^N χ(a)ζ_{amodN}(s) (但し,χ∈DC(N),s∈C)を示せchiaki@kit.ac.jp (Tsukamoto Chiaki)
33842011/06/13Re: L(s,χ)の複素平面全体への定義の拡張についてchiaki@kit.ac.jp (Tsukamoto Chiaki)
33832011/06/13Re: L(r,χ)=1/(r-1)!・(-2πi/N)^r・1/2Σ_{a∈Z_N^×}χ(a)h_r(ζ_N^a)の証明chiaki@kit.ac.jp (Tsukamoto Chiaki)
33822011/06/13Re: L(s, $B&V (B)= $B&2 (B_{a=1}^N $B&V (B(a) $B&F (B_{amodN}(s) ( $BC"$7 (B, $B&V": (BDC(N),s $B": (BC) $B$r<($; (BKyokoYoshida <kyokoyoshida123@gmail.com>
33812011/06/13Re: L(r, $B&V (B)=1/(r-1)! $B!& (B(-2 $B&P (Bi/N)^r $B!& (B1/2 $B&2 (B_{a $B": (BZ_N^ $B!_ (B} $B&V (B(a)h_r( $B&F (B_N^a) $B$N>ZL@ (BKyokoYoshida <kyokoyoshida123@gmail.com>
33802011/06/13L(s,χ)の複素平面全体への定義の拡張についてKyokoYoshida <kyokoyoshida123@gmail.com>
33792011/06/12Re: L(s,χ)=Σ_{a=1}^N χ(a)ζ_{amodN}(s) (但し,χ∈DC(N),s∈C)を示せchiaki@kit.ac.jp (Tsukamoto Chiaki)
33782011/06/12Re: L(r,χ)=1/(r-1)!・(-2πi/N)^r・1/2Σ_{a∈Z_N^×}χ(a)h_r(ζ_N^a)の証明chiaki@kit.ac.jp (Tsukamoto Chiaki)
33772011/06/12Re: L(s,χ)=Σ_{a=1}^N χ(a)ζ_{amodN}(s) (但し,χ∈DC(N),s∈C)を示せKyokoYoshida <kyokoyoshida123@gmail.com>
33762011/06/12L(s,χ)=Σ_{a=1}^N χ(a)ζ_{amodN}(s) (但し,χ∈DC(N),s∈C)を示せKyokoYoshida <kyokoyoshida123@gmail.com>
33752011/06/12Re: L(r, $B&V (B)=1/(r-1)! $B!& (B(-2 $B&P (Bi/N)^r $B!& (B1/2 $B&2 (B_{a $B": (BZ_N^ $B!_ (B} $B&V (B(a)h_r( $B&F (B_N^a) $B$N>ZL@ (BKyokoYoshida <kyokoyoshida123@gmail.com>
33742011/06/11Re: L(r,χ)=1/(r-1)!・(-2πi/N)^r・1/2Σ_{a∈Z_N^×}χ(a)h_r(ζ_N^a)の証明chiaki@kit.ac.jp (Tsukamoto Chiaki)
33732011/06/11Re: L(r, $B&V (B)=1/(r-1)! $B!& (B(-2 $B&P (Bi/N)^r $B!& (B1/2 $B&2 (B_{a $B": (BZ_N^ $B!_ (B} $B&V (B(a)h_r( $B&F (B_N^a) $B$N>ZL@ (BKyokoYoshida <kyokoyoshida123@gmail.com>
33722011/06/10Re: L(r,χ)=1/(r-1)!・(-2πi/N)^r・1/2Σ_{a∈Z_N^×}χ(a)h_r(ζ_N^a)の証明chiaki@kit.ac.jp (Tsukamoto Chiaki)
33712011/06/10Re: L(r, $B&V (B)=1/(r-1)! $B!& (B(-2 $B&P (Bi/N)^r $B!& (B1/2 $B&2 (B_{a $B": (BZ_N^ $B!_ (B} $B&V (B(a)h_r( $B&F (B_N^a) $B$N>ZL@ (BKyokoYoshida <kyokoyoshida123@gmail.com>
33702011/06/09Re: L(r,χ)=1/(r-1)!・(-2πi/N)^r・1/2Σ_{a∈Z_N^×}χ(a)h_r(ζ_N^a)の証明chiaki@kit.ac.jp (Tsukamoto Chiaki)
33692011/06/09Re: L(r, $B&V (B)=1/(r-1)! $B!& (B(-2 $B&P (Bi/N)^r $B!& (B1/2 $B&2 (B_{a $B": (BZ_N^ $B!_ (B} $B&V (B(a)h_r( $B&F (B_N^a) $B$N>ZL@ (BKyokoYoshida <kyokoyoshida123@gmail.com>
33662011/06/08Re: L(r,χ)=1/(r-1)!・(-2πi/N)^r・1/2Σ_{a∈Z_N^×}χ(a)h_r(ζ_N^a)の証明chiaki@kit.ac.jp (Tsukamoto Chiaki)
33652011/06/08Re: L(r, $B&V (B)=1/(r-1)! $B!& (B(-2 $B&P (Bi/N)^r $B!& (B1/2 $B&2 (B_{a $B": (BZ_N^ $B!_ (B} $B&V (B(a)h_r( $B&F (B_N^a) $B$N>ZL@ (BKyokoYoshida <kyokoyoshida123@gmail.com>
33642011/06/07Re: L(r,χ)=1/(r-1)!・(-2πi/N)^r・1/2Σ_{a∈Z_N^×}χ(a)h_r(ζ_N^a)の証明chiaki@kit.ac.jp (Tsukamoto Chiaki)
33632011/06/07Re: h_1(t)=-1/2 $B!& (B1/(2 $B&P (Bi) $B&2 (B_{n $B": (BZ}(1/(x+n)-1/(x-n)) $B$H (Br $B!f (B2 $B$N;~ (Bh_r(t)=(r-1)!(-1/(2 $B&P (Bi))^r $B&2 (B_{n $B": (BZ}1/(x+n)^rKyokoYoshida <kyokoyoshida123@gmail.com>
33622011/06/04Re: L(r,χ)=1/(r-1)!・(-2πi/N)^r・1/2Σ_{a∈Z_N^×}χ(a)h_r(ζ_N^a)の証明chiaki@kit.ac.jp (Tsukamoto Chiaki)
33612011/06/04Re: N $B". (B{0} $B"; (Br: $B6v?t$J$i&F (B(r)=1/(r-1)!1/(2^r-1)(2 $B&P (Bi)^r h_r(-1)/2KyokoYoshida <kyokoyoshida123@gmail.com>
33602011/06/04Re: L(r, $B&V (B)=1/(r-1)! $B!& (B(-2 $B&P (Bi/N)^r $B!& (B1/2 $B&2 (B_{a $B": (BZ_N^ $B!_ (B} $B&V (B(a)h_r( $B&F (B_N^a) $B$N>ZL@ (BKyokoYoshida <kyokoyoshida123@gmail.com>
33592011/06/02Re: N〓{0}∋r:偶数ならζ(r)=1/(r-1)!1/(2^r-1)(2πi)^r h_r(-1)/2chiaki@kit.ac.jp (Tsukamoto Chiaki)
33582011/06/02Re: N $B". (B{0} $B"; (Br: $B6v?t$J$i&F (B(r)=1/(r-1)!1/(2^r-1)(2 $B&P (Bi)^r h_r(-1)/2KyokoYoshida <kyokoyoshida123@gmail.com>
33572011/06/01Re: h_1(t)=-1/2・1/(2πi)Σ_{n∈Z}(1/(x+n)-1/(x-n))とr≧2の時h_r(t)=(r-1)!(-1/(2πi))^rΣ_{n∈Z}1/(x+n)^rchiaki@kit.ac.jp (Tsukamoto Chiaki)
33562011/06/01Re: h_1(t)=-1/2 $B!& (B1/(2 $B&P (Bi) $B&2 (B_{n $B": (BZ}(1/(x+n)-1/(x-n)) $B$H (Br $B!f (B2 $B$N;~ (Bh_r(t)=(r-1)!(-1/(2 $B&P (Bi))^r $B&2 (B_{n $B": (BZ}1/(x+n)^rKyokoYoshida <kyokoyoshida123@gmail.com>
33552011/05/26Re: L(r,χ)=1/(r-1)!・(-2πi/N)^r・1/2Σ_{a∈Z_N^×}χ(a)h_r(ζ_N^a)の証明chiaki@kit.ac.jp (Tsukamoto Chiaki)
33542011/05/26Re: L(r, $B&V (B)=1/(r-1)! $B!& (B(-2 $B&P (Bi/N)^r $B!& (B1/2 $B&2 (B_{a $B": (BZ_N^ $B!_ (B} $B&V (B(a)h_r( $B&F (B_N^a) $B$N>ZL@ (BKyokoYoshida <kyokoyoshida123@gmail.com>
33532011/05/24Re: h_1(t)=-1/2・1/(2πi)Σ_{n∈Z}(1/(x+n)-1/(x-n))とr≧2の時h_r(t)=(r-1)!(-1/(2πi))^rΣ_{n∈Z}1/(x+n)^rchiaki@kit.ac.jp (Tsukamoto Chiaki)
33522011/05/24Re: h_1(t)=-1/2 $B!& (B1/(2 $B&P (Bi) $B&2 (B_{n $B": (BZ}(1/(x+n)-1/(x-n)) $B$H (Br $B!f (B2 $B$N;~ (Bh_r(t)=(r-1)!(-1/(2 $B&P (Bi))^r $B&2 (B_{n $B": (BZ}1/(x+n)^rKyokoYoshida <kyokoyoshida123@gmail.com>
33512011/05/23Re: N〓{0}∋r:偶数ならζ(r)=1/(r-1)!1/(2^r-1)(2πi)^r h_r(-1)/2chiaki@kit.ac.jp (Tsukamoto Chiaki)
33502011/05/23N＼{0}∋r:偶数ならζ(r)=1/(r-1)!1/(2^r-1)(2πi)^r h_r(-1)/2KyokoYoshida <kyokoyoshida123@gmail.com>
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