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URL:https://uwaterloo.ca/pure-mathematics/events/student-number-theory-semi
 nar-saunders-jul-15-2013
LOCATION:MC - Mathematics & Computer Building 200 University Avenue West 50
 46 Waterloo ON N2L 3G1 Canada
SUMMARY:Student Number Theory seminar
CLASS:PUBLIC
DESCRIPTION:J.C. SAUNDERS\, DEPARTMENT OF PURE MATH\, UNIVERSITY OF WATERLO
 O\n\n\"SUMS OF DIGITS IN Q-ARY EXPANSIONS PART 2\"\n\nLet sq(n) denote the
  sum of the digits of a number n in base q. For\nexample\, s2(n) represent
 s the number of 1s in the binary expansion of\nn. In 1978\, Kenneth B. Sto
 larsky showed that lim inf n!1 s2(n2) s2(n)\n= 0 using bounds obtained fro
 m analytical methods. In the last\npresentation we showed that the ratio s
 2(n2) s2(n) can indeed hit\nevery positive rational number. In this presen
 tation\, we show that the\nsame is
DTSTAMP:20260606T040735Z
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