Frequencies of Successive Tuples of Frobenius Classes
نویسندگان
چکیده
In this paper, we consider the sequence of Frobenius conjugacy classes for a Galois extension K/Q, ordered by the increasing sequence of rational primes. For a given K, we look at the frequencies of non-overlapping consecutive k-tuples in this sequence. We compare these frequencies to what would be expected by the Chebotarev Density Theorem, if there were statistical independence between successive Frobenius classes. We find striking variations of behavior as K varies.
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ورودعنوان ژورنال:
- Experimental Mathematics
دوره 18 شماره
صفحات -
تاریخ انتشار 2009