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DTSTART:20250309T070000
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DTSTART:20241103T060000
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DTSTART;TZID=America/Toronto:20250528T143000
SEQUENCE:0
TRANSP:TRANSPARENT
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URL:https://uwaterloo.ca/pure-mathematics/events/student-number-theory-semi
 nar-81
SUMMARY:Student Number Theory Seminar
CLASS:PUBLIC
DESCRIPTION:JEREMY CHAMPAGNE\, UNIVERSITY OF WATERLOO \n\nOn the generalis
 ation of a theorem of Watson\n\nThis talk is a continuation of the one I g
 ave in March. In essence\, we\nare discussing the set of real valued funct
 ions 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 prove that gcd
 (n\,\n[alpha_1n]\, [alpha_2n^2]\,...\,[alpha_kn^k])=1 happens with probabi
 lity\n1/zeta(k+1) foralpha_1\,...\,alpha_k irrational.\n\nMC 5403
DTSTAMP:20260504T180045Z
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