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according as \x} ^ or >1, where £n,x(x) =PnMix)/Pnx\l). V. R. Thiruvenkatachar and T. S. Nanjundiah [4] and A. E. Danese [5] have obtained series of positive functions for A„(x) and its analogue in… (More)

(0.3) An,x(x) -[F,,x(x)]2 Fn+l,,(x)Fn_,iX(x) > or 1, where Fn,x(x) =P(x)(x)/P("(1). V. R. Thiruvenkatachar and T. S. Nanjundiah [4] and A. E. Danese [5] have obtained series of positive functions for… (More)

The Krull Galois theory for infinite separable normal extensions is generalized in this note to non-alget>raic extensions. For any extension field E of a field K it is shown that the Galois group G… (More)