Frequencies of Successive Tuples of Frobenius Classes
Ash, Avner ; Bate, Brandon ; Gross, Robert
Experiment. Math., Tome 18 (2009) no. 1, p. 55-64 / Harvested from Project Euclid
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In this paper, we consider the sequence of Frobenius conjugacy classes for a Galois extension $K/\QQ$, ordered by the increasing sequence of rational primes. For a given $K$, we look at the frequencies of nonoverlapping consecutive $k$-tuples in this sequence. We compare these frequencies to what would be expected by the Cebotarev density theorem if there were statistical independence between successive Frobenius classes. We find striking variations of behavior as $K$ varies.
Publié le : 2009-05-15
Classification:  Frobenius classes,,  pseudorandom sequences,  11N05,  11K45,  62P99 
@article{1243430529,
     author = {Ash, Avner and Bate, Brandon and Gross, Robert},
     title = {Frequencies of Successive Tuples of Frobenius Classes},
     journal = {Experiment. Math.},
     volume = {18},
     number = {1},
     year = {2009},
     pages = { 55-64},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1243430529}
}

Ash, Avner; Bate, Brandon; Gross, Robert. Frequencies of Successive Tuples of Frobenius Classes. Experiment. Math., Tome 18 (2009) no. 1, pp.  55-64. http://gdmltest.u-ga.fr/item/1243430529/