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SUMMARY:On Triangular Diophantine Sets [MPIM]
DTSTART:20260218T133000Z
DTEND:20260218T143000Z
DTSTAMP:20260417T221800Z
UID:indico-event-1129@math-events.uni-bonn.de
DESCRIPTION:Speakers: Alan Filipin (MPIM)\n\nNumber theory lunch seminar\n
 Let $m\\geq 2$ be an integer. For integer $n \\neq 0$\, we introduce one v
 ariation of Diophantine problem\, when we call the set of $m$ distinctposi
 tive integers a Triangular $D(n)$-$m$-tuple if any product of its two  di
 stinct elements increased by $n$ is a triangular number. As usual in simil
 ar problems\, the question of interest asks the cardinality of such Triang
 ular Diophantine sets. In this talk we will present some work on the exten
 dibility of various Triagular triples and give some ideas for future searc
 h. It is joint work with L. Szalay\, Y. Fujita and A. Jurasić. \n\nhttps
 ://math-events.uni-bonn.de/event/1129/
LOCATION:MPIM\, Vivatsgasse\,  7 - Lecture Hall (Max Planck Institute for 
 Mathematics)
URL:https://math-events.uni-bonn.de/event/1129/
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