Naslov
Recent Results on Diophantine Sets

Autori
Filipin, Alan

Vrsta, podvrsta i kategorija rada
Sažeci sa skupova, neobjavljeni rad, znanstveni

Skup
International Day of Science

Mjesto i datum
Sopron, Mađarska, 23.03.2021

Vrsta sudjelovanja
Pozvano predavanje

Vrsta recenzije
Nije recenziran

Ključne riječi
Diophantine m-tuples

Sažetak
A set of m positive integers is called a Diophantine m-tuple if the product of any of its two distinct elements increased by 1 is a perfect square. One of the question of interest is how large those sets can be. Recently, He, Togbe and Ziegler have proven the folklore conjecture that there does not exist a Diophantine quintuple. There is also a stronger version of that conjecture that states that every Diophantine triple has the unique extension to a quadruple with a larger element. That version of the conjecture is still open, but there are many results that support it. In this talk, we will present some of those results.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

Napomena
S obzirom na epidemiološku situaciju predavanje je održano online.

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