A Model Sifting Problem of Selberg
نویسنده
چکیده
We study a model sifting problem introduced by Selberg, in which all of the primes have roughly the same size. We show that the Selberg lower bound sieve is asymptotically optimal in this setting, and we use this to give a new lower bound on the sifting limit βκ in terms of the sifting dimension κ. We also show that one can use a rounding procedure to improve on the Selberg lower bound sieve by more than a constant amount in this setting, getting a lower order improvement which is asymptotic to the cube root of the main term.
منابع مشابه
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تاریخ انتشار 2017