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Experiments with zeta zeros and Perrons formula

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 نشر من قبل Robert Baillie
 تاريخ النشر 2011
  مجال البحث
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 تأليف Robert Baillie




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Of what use are the zeros of the Riemann zeta function? We can use sums involving zeta zeros to count the primes up to $x$. Perrons formula leads to sums over zeta zeros that can count the squarefree integers up to $x$, or tally Eulers $phi$ function and other arithmetical functions. This is largely a presentation of experimental results.



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