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Date(投稿日時):Subject(見出し):From(投稿者):
34142011/06/20Re: L(s, $B&V (B) $B$NJ#AGJ?LLA4BN$X$NDj5A$N3HD%$K$D$$$F (BKyokoYoshida <kyokoyoshida123@gmail.com>
34132011/06/20Re: L(s, $B&V (B)= $B&2 (B_{a=1}^N $B&V (B(a) $B&F (B_{amodN}(s) ( $BC"$7 (B, $B&V": (BDC(N),s $B": (BC) $B$r<($; (BKyokoYoshida <kyokoyoshida123@gmail.com>
34122011/06/19ζ(1-r,x)=-rB_r(x) (where x∈C)とζ_{amodN}(1-r)=-1/r N^{r-1}B_r(a/N)を示せKyokoYoshida <kyokoyoshida123@gmail.com>
34112011/06/19Re: Bernoulli数,∀n∈Nに対してB_{2n+1}=0となる事の証明KyokoYoshida <kyokoyoshida123@gmail.com>
34102011/06/19Bernoulli多項式,B_n(0)=B_nの証明KyokoYoshida <kyokoyoshida123@gmail.com>
34092011/06/19Bernoulli数,∀n∈Nに対してB_{2n+1}=0となる事の証明KyokoYoshida <kyokoyoshida123@gmail.com>
34082011/06/19ζ(s),DL(s,χ),_{amodN(s)},ζ(s,x)の複素平面上での正則性・有理型性・解析接続可能性の証明KyokoYoshida <kyokoyoshida123@gmail.com>
34072011/06/18Re: L(r, $B&V (B)=1/(r-1)! $B!& (B(-2 $B&P (Bi/N)^r $B!& (B1/2 $B&2 (B_{a $B": (BZ_N^ $B!_ (B} $B&V (B(a)h_r( $B&F (B_N^a) $B$N>ZL@ (BKyokoYoshida <kyokoyoshida123@gmail.com>
34062011/06/18Re: L(s,χ)の複素平面全体への定義の拡張についてchiaki@kit.ac.jp (Tsukamoto Chiaki)
34052011/06/18Re: L(s,χ)=Σ_{a=1}^N χ(a)ζ_{amodN}(s) (但し,χ∈DC(N),s∈C)を示せchiaki@kit.ac.jp (Tsukamoto Chiaki)
34042011/06/18Re: L(s, $B&V (B) $B$NJ#AGJ?LLA4BN$X$NDj5A$N3HD%$K$D$$$F (BKyokoYoshida <kyokoyoshida123@gmail.com>
34032011/06/18Re: 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>
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)
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