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if if In INCREASING integral integral is is is is

large. left-hand left-hand LEMMA Lemma Lemma Lemma

make mapping


ΔRσξη0η. R. ξ*δ*, |ζ|ζ0. |η|/ξξ1, ξ20<ξ<ξ*|η0|<δζ=ξ+iη|η|<δ*.=ξ+iηΔζ=ξ+iηΔζ0, ζΔ, ζ0, ζΔ.

u(ζu(ξ)dcΘR(c)>0, Δ={ζ=ξ+iη||η|<2eπ/2ξ}. 0<σ<min(δ-|η0|, log(r01)),

D=D(η0, σ)={ζ|Reζ>0, |ζ-iη0|<σ}. |η|<δ0=min(2δ/3, 12log(r0-1)),


need need

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positive proof Proof

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