NUMBERS HAVING m SMALL rath ROOTS mod p

نویسندگان

  • RAPHAEL M. ROBINSON
  • Derrick H. Lehmer
  • R. M. ROBINSON
چکیده

Here are two typical results about the numbers mentioned in the title: If p is a prime such that p = 1 (mod 6) and p > 67, then there are exactly six numbers mod p , each of which has six sixth roots less than 2yf}p in absolute value. If p is a prime such that p = 1 (mod 8), then there is at least one number mod p which has eight eighth roots less than p3/4 in absolute value.

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تاریخ انتشار 2010