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DTSTART:20250309T070000
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DTSTART;TZID=America/Toronto:20250528T143000
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URL:/pure-mathematics/events/student-number-theory-semi
 nar-81
SUMMARY:Student Number Theory Seminar
CLASS:PUBLIC
DESCRIPTION:Summary \n\nJEREMY CHAMPAGNE\, UNIVERSITY OF WATERLOO \n\nOn t
 he generalisation of a theorem of Watson\n\nThis talk is a continuation of
  the one I gave in March. In essence\, we\nare discussing the set of real 
 valued functions f(n) such that\ngcd(n\,[f(n)])=1 happens with probability
  1/zeta(2) (in the sense of\nnatural densities)\, and related problems. I 
 will give a general\ngameplan to establishing such results\, and I will pr
 ove that gcd(n\,\n[alpha_1n]\, [alpha_2n^2]\,...\,[alpha_kn^k])=1 happens 
 with probability\n1/zeta(k+1) foralpha_1\,...\,alpha_k irrational.\n\nMC 5
 403\n 
DTSTAMP:20250711T070725Z
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