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SUMMARY:Shigeki Akiyama (University of Tsukuba)
DTSTART:20210608T123000Z
DTEND:20210608T133000Z
DTSTAMP:20260423T052840Z
UID:OWNS/48
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/OWNS/48/">Co
 unting balanced words and related problems</a>\nby Shigeki Akiyama (Univer
 sity of Tsukuba) as part of One World Numeration seminar\n\n\nAbstract\nBa
 lanced words and Sturmian words are ubiquitous and appear in the intersect
 ion of many areas of mathematics. In this talk\, I try to explain an idea 
 of S. Yasutomi to study finite balanced words. His method gives a nice way
  to enumerate number of balanced words of given length\, slope and interce
 pt. Applying this idea\, we can obtain precise asymptotic formula for bala
 nced words. The result is connected to some classical topics in number the
 ory\, such as Farey fraction\, Riemann Hypothesis and Large sieve inequali
 ty.\n
LOCATION:https://researchseminars.org/talk/OWNS/48/
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