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SUMMARY:Manuel Hauke (University of York)
DTSTART:20240501T150000Z
DTEND:20240501T160000Z
DTSTAMP:20260418T065849Z
UID:LNTS/126
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/LNTS/126/">D
 uffin-Schaeffer meets Littlewood and related topics</a>\nby Manuel Hauke (
 University of York) as part of London number theory seminar\n\nLecture hel
 d in Room K0.18 King's Building\, King's College London (Strand Campus).\n
 \nAbstract\nKhintchine's Theorem is one of the cornerstones in metric Diop
 hantine approximation. The question of removing the monotonicity condition
  on the approximation function in Khintchine's Theorem led to the recently
  proved Duffin-Schaeffer conjecture. Gallagher showed an analogue of Khint
 chine's Theorem for multiplicative Diophantine approximation\, again assum
 ing monotonicity. \n	\n	In this talk\, I will discuss my joint work with L
 . Frühwirth about a Duffin-Schaeffer version for Gallagher's Theorem. Fur
 thermore\, I will give a broader overview on various questions in metric D
 iophantine approximation and demonstrate the deep connection to analytic n
 umber theory that lies in the heart of the corresponding proofs.\n
LOCATION:https://researchseminars.org/talk/LNTS/126/
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