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On Quintic Equations Ito, Hideji quintic equation Bring-Jerrard normal form approximation galois resolvent We consider the quintic equation of the form z^5-az + 1 = 0 (a ∈ - C).When |a| becomes large,we show that its roots ωκ(1<_ k <_5)approach to {0,±a^1/4,±ia^1/4}(i=√<-1>,a^1/4=a 4-th root of a).As an application,we show that when |a| → ∞ galois resolvents Σ^5_i=1 εκωκ(the εκ are distinct 5-th roots of 1)will make five circles centered at the origin on the complex plane.Similar consideration can be applied to higher equations of type z^m - az+1=0,though the distribution of galois resolvents is too complicated to describe. 秋田大学教育文化学部 2011-03-01 eng departmental bulletin paper VoR http://hdl.handle.net/10295/1763 https://air.repo.nii.ac.jp/records/1717 13485296 AA11458582 秋田大学教育文化学部研究紀要. 自然科学 66 13 17 https://air.repo.nii.ac.jp/record/1717/files/kbs66(13).pdf application/pdf 1.1 MB 2017-02-16