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SUMMARY:Shashi Chourasiya (University of New South Wales\, Australia)
DTSTART:20250520T120000Z
DTEND:20250520T122500Z
DTSTAMP:20260423T010138Z
UID:CANT2025/9
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/CANT2025/9/"
 >Power-free palindromes and reversed primes</a>\nby Shashi Chourasiya (Uni
 versity of New South Wales\, Australia) as part of Combinatorial and addit
 ive number theory (CANT 2025)\n\nLecture held in CUNY Graduate Center - Sc
 ience Center (4th floor).\n\nAbstract\nSeveral long-standing conjectures i
 n number theory are related to the digital properties of integers. Histori
 cally\, such problems have been confined to the realm of elementary number
  theory\, but recently huge breakthroughs have been made by applying deep 
 analytical techniques. In this talk\, we discuss some very recent results 
 on this topic\, focusing on palindromes and reversed primes. We first esta
 blish that for all bases $b \\geq 26000$\, there exist infinitely many pri
 me numbers $p$ for which $\\{ \\overleftarrow{p} \\}$ is square-free. Furt
 hermore\, we demonstrate the existence of infinitely many palindromes (wit
 h $n= \\overleftarrow{n}$) that are cube-free.  \nThis is based on joint w
 ork with Daniel R. Johnston.\n
LOCATION:https://researchseminars.org/talk/CANT2025/9/
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