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SUMMARY:The Prouhet-Tarry-Escott problem\, decomposability of polynomials 
 and Diophantine equations [MPIM]
DTSTART:20260204T133000Z
DTEND:20260204T143000Z
DTSTAMP:20260420T151700Z
UID:indico-event-1095@math-events.uni-bonn.de
DESCRIPTION:Speakers: Lajos Hajdu (University of Debrecen)\n\nNumber theor
 y lunch seminar\nThe Prouhet-Tarry-Escott (PTE) problem asks to describe d
 isjoint sets of integers for which there exists an integer k such that the
  associated first k power sum polynomials are equal. The problem has a vas
 t literature\, but unfortunately there is little known.\nIn the talk we de
 scribe a link between the PTE problem and decomposability of polynomials. 
 Then we give applications for polynomial Diophantine equations\, where at 
 least one of the polynomials involved has only rational roots. The new res
 ults presented are joint with Á. Papp and R. Tijdeman.\n\nhttps://math-ev
 ents.uni-bonn.de/event/1095/
LOCATION:MPIM\, Vivatsgasse\,  7 - Lecture Hall (Max Planck Institute for 
 Mathematics)
URL:https://math-events.uni-bonn.de/event/1095/
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