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SUMMARY:Vjekoslav Kovac (University of Zagreb)
DTSTART:20250520T123000Z
DTEND:20250520T125500Z
DTSTAMP:20260423T010357Z
UID:CANT2025/10
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/CANT2025/10/
 ">Several irrationality problems for Ahmes series</a>\nby Vjekoslav Kovac 
 (University of Zagreb) as part of Combinatorial and additive number theory
  (CANT 2025)\n\nLecture held in CUNY Graduate Center - Science Center (4th
  floor).\n\nAbstract\nProving (ir)rationality of infinite series of distin
 ct unit fractions has been an active topic of research for decades\, with 
 numerous occasional breakthroughs. We will investigate what can be obtaine
 d using elementary techniques (such as iterative constructions and the pro
 babilistic method) and address several problems posed by Paul Erdos throug
 hout the 1980s. In particular\, we will study one type of irrationality se
 quences introduced by Erdos and Graham\, (almost entirely) resolve a quest
 ion by Erdos on simultaneous rationality of two or more "consecutive" seri
 es\, and give a negative answer to an "infinite-dimensional" conjecture by
  Stolarsky. This is joint work with Terence Tao (UCLA).\n\nOnline only. Li
 nk: https://www.theoryofnumbers.com/cant/\n
LOCATION:https://researchseminars.org/talk/CANT2025/10/
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