Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4608321 | Journal of Approximation Theory | 2006 | 9 Pages |
Abstract
We consider the minimum value mp of the product under the conditions that and . This problem stems from estimation of the Selberg integral appeared in the study of integral-valued entire functions [A. Selberg, Über einen Satz von A. Gelfond, Arch. Math. Naturvid. 44 (1941) 159–170]. We give upper and lower estimates of mp : . This, in particular, slightly improves the earlier lower estimate given by Selberg: logmp>p·0.31654924….
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