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Displaying 1881 –
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In finite Galois extensions of with pairwise coprime discriminants the integral and the prime divisors subject to the condition are equidistributed in the sense of E. Hecke.
A natural number is said to be a -integer if , where and is not divisible by the th power of any prime. We study the distribution of such -integers in the Piatetski-Shapiro sequence with . As a corollary, we also obtain similar results for semi--free integers.
In this paper, we give a new upper-bound for the discrepancyfor the sequence , when and .
Currently displaying 1881 –
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3028