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math.NT2015★ 5 cited
Correlations between real conjugate algebraic numbers
Friedrich Götze, Dzianis Kaliada, Dmitry Zaporozhets
For denote by the number of ordered -tuples in of real conjugate algebraic numbers of degree and naive height . We show th…
math.PR2015★ 7 cited
Asymptotic analysis of symmetric functions
Friedrich Götze, Alexey Naumov, Vladimir Ulyanov
In this paper we consider asymptotic expansions for a class of sequences of symmetric functions of many variables. Applications to classical and free probability theory are discuss…