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The work is related to the problem by P. Erdo{double acute}s about the estimation of the numbers, where {pipe}zj{pipe} = 1, as N→∞. We shall deal with the case where the z j are all possible roots of the unity ordered in such a way that all the roots of degree n follow the roots of degree n-1. Within the group of roots of degree n, the enumeration can vary. We prove that ln A N grows like √N, and we get estimates of possible values of the lower limit of the ratio (ln A N/√N as well as exact bounds of the upper limit of this ratio.
Original language | English |
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Pages (from-to) | 223-241 |
Number of pages | 19 |
Journal | Analysis Mathematica |
Volume | 30 |
Issue number | 3 |
DOIs | |
State | Published - 1 Dec 2004 |
ID: 48414308