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- W2057901550 abstract "Let m p be the minimum of the product ∏ i = 1 p ( 1 + y i ) under the conditions that y i > 0 , y 1 ⋯ y p = e 1 - p and | ∏ 1 ⩽ i < j ⩽ p ( 1 y i - 1 y j ) | = 1 . In our previous paper [J. Kaneko, On an extremal problem of Selberg, J. Approx. Theory 142 (2006) 129–137], we showed that the following estimates hold. 0.3355625048 ⋯ > 1 p log m p > 0.3328392748 … provided p ⩾ 255 . In this note, we prove that the limit of 1 p log m p as p → ∞ exists and is expressed by the (unique) solution of some simultaneous transcendental equations. By using this expression we obtain lim p → ∞ 1 p log m p = 0.3342139570 … numerically." @default.
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- W2057901550 date "2007-06-01" @default.
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- W2057901550 title "On an extremal problem of Selberg II" @default.
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- W2057901550 doi "https://doi.org/10.1016/j.jat.2006.12.006" @default.
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