On distribution densities of algebraic points under different height functions
2021 ◽
Vol 65
(6)
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pp. 647-653
Keyword(s):
In the article we consider the spatial distribution of points, whose coordinates are conjugate algebraic numbers of fixed degree. The distribution is introduced using a height function. We have obtained universal upper and lower bounds of the distribution density of such points using an arbitrary height function. We have shown how from a given joint density function of coefficients of a random polynomial of degree n, one can construct such a height function H that the polynomials q of degree n uniformly chosen under H[q] ≤1 have the same distribution of zeros as the former random polynomial.
2021 ◽
Vol 65
(5)
◽
pp. 519-525
Keyword(s):
ON THE REMAK HEIGHT, THE MAHLER MEASURE AND CONJUGATE SETS OF ALGEBRAIC NUMBERS LYING ON TWO CIRCLES
2001 ◽
Vol 44
(1)
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pp. 1-17
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Keyword(s):
2010 ◽
Vol 146
(5)
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pp. 1165-1179
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Keyword(s):
2010 ◽
Vol 06
(03)
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pp. 471-499
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Keyword(s):
2014 ◽
Vol 11
(03)
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pp. 1450014
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Keyword(s):
2007 ◽
Vol 59
(1)
◽
pp. 186-210
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