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SUMMARY:Ayreena Bakhtawar (La Trobe University)
DTSTART:20201117T090000Z
DTEND:20201117T093000Z
DTSTAMP:20260423T021225Z
UID:POINT/19
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/POINT/19/">C
 ontribution to uniform Diophantine approximation via continued fractions</
 a>\nby Ayreena Bakhtawar (La Trobe University) as part of POINT: New Devel
 opments in Number Theory\n\n\nAbstract\nDiophantine approximation is a bra
 nch of number theory which is concerned with the question of how well can 
 an irrational number be approximated by a rational?\nOne of the major ingr
 edients to study problems in Diophantine approximation is continued fracti
 on expansion as they provide quick and efficient way for finding good rati
 onal approximations to irrational numbers.\nI will discuss the relationshi
 p between Diophantine approximation and the theory of continued fractions.
  And along the way I will talk about some measure theoretic results includ
 ing the landmark results of Dirichlet (1842)\, Khintchine (1924)\, and Jar
 nik (1931) theorems to the questions in continued fractions. These enable 
 us to improve the classical results by using continued fractions.\n
LOCATION:https://researchseminars.org/talk/POINT/19/
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