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SUMMARY:Tom Kempton (University of Manchester)
DTSTART:20240507T120000Z
DTEND:20240507T130000Z
DTSTAMP:20260423T053131Z
UID:OWNS/131
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/OWNS/131/">T
 he Dynamics of the Fibonacci Partition Function</a>\nby Tom Kempton (Unive
 rsity of Manchester) as part of One World Numeration seminar\n\n\nAbstract
 \nThe Fibonacci partition function $R(n)$ counts the number of ways of rep
 resenting a natural number $n$ as the sum of distinct Fibonacci numbers. F
 or example\, $R(6)=2$ since $6=5+1$ and $6=3+2+1$. An explicit formula for
  $R(n)$ was recently given by Chow and Slattery. In this talk we express $
 R(n)$ in terms of ergodic sums over an irrational rotation\, which allows 
 us to prove lots of statements about the local structure of $R(n)$.\n
LOCATION:https://researchseminars.org/talk/OWNS/131/
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