The mean values of logarithms of algebraic integers
Journal de théorie des nombres de Bordeaux, Volume 10 (1998) no. 2, p. 301-313

Let α be an algebraic integer of degree d with conjugates α 1 =α,α 2 ,,α d . In the paper we give a lower bound for the mean value M p ( α ) = 1 d i = 1 d | log | α i | | p p when α is not a root of unity and p>1.

Soit α 1 =α,α 2 ,,α d l’ensemble des conjugués d’un entier algébrique α de degré d, n’étant pas une racine de l’unité. Dans cet article on propose de minorer M p ( α ) = 1 d i = 1 d | log | α i | | p p p>1.

@article{JTNB_1998__10_2_301_0,
     author = {Dubickas, Art\=uras},
     title = {The mean values of logarithms of algebraic integers},
     journal = {Journal de th\'eorie des nombres de Bordeaux},
     publisher = {Universit\'e Bordeaux I},
     volume = {10},
     number = {2},
     year = {1998},
     pages = {301-313},
     zbl = {0923.11145},
     mrnumber = {1828247},
     language = {en},
     url = {http://www.numdam.org/item/JTNB_1998__10_2_301_0}
}
Dubickas, Artūras. The mean values of logarithms of algebraic integers. Journal de théorie des nombres de Bordeaux, Volume 10 (1998) no. 2, pp. 301-313. http://www.numdam.org/item/JTNB_1998__10_2_301_0/

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