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DTSTART;TZID=America/Toronto:20251104T100000
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URL:https://uwaterloo.ca/pure-mathematics/events/number-theory-seminar-155
SUMMARY:Number Theory Seminar
CLASS:PUBLIC
DESCRIPTION:LIAM OROVEC\, UNIVERSITY OF WATERLOO\n\n_Greedy and Lazy Parry 
 Numbers_\n\nWe say a real number \\beta is a Parry number provided the gre
 edy\n\\beta-expansion for 1 is eventually periodic or finite. We show\ncon
 ditions for when \\beta is a Parry number and provide a family of\nreal nu
 mbers which are always Parry numbers\, the PV-numbers. The\nrelated Salem 
 numbers\, constructed from PV-numbers are then\nconsidered. We split this 
 into four cases\, the first of which was\nshown by Hare and Tweedle\, we g
 ive criteria for finding Salem numbers\nwhich are Parry numbers. Time perm
 itting we will explore the case\nwhere we look at lazy expansions instead 
 of greedy expansions\, we call\nthese numbers lazy Parry numbers.\n\nMC 54
 17
DTSTAMP:20260408T022755Z
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