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SUMMARY:Florian Luca (Stellenbosch University)
DTSTART:20241112T130000Z
DTEND:20241112T140000Z
DTSTAMP:20260423T021338Z
UID:OWNS/136
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/OWNS/136/">O
 n a question of Douglass and Ono</a>\nby Florian Luca (Stellenbosch Univer
 sity) as part of One World Numeration seminar\n\n\nAbstract\nIt is known t
 hat the partition function $p(n)$  obeys Benford's law in any integer base
  $b\\ge 2$. A similar result was obtained by Douglass and Ono for the plan
 e partition function $\\text{PL}(n)$ in a recent paper. In their paper\, D
 ouglass and Ono asked for an explicit version of this result. In particula
 r\, given an integer base $b\\ge 2$ and string $f$ of digits in base $b$ t
 hey asked for an explicit value $N(b\,f)$ such that there exists $n\\le N(
 b\,f)$ with the property that $\\text{PL}(n)$ starts with the string $f$ w
 hen written in base $b$. In my talk\, I will present an explicit value for
  $N(b\,f)$ both for the partition function $p(n)$ as well as for the plane
  partition function $\\text{PL}(n)$.\n
LOCATION:https://researchseminars.org/talk/OWNS/136/
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