Nonexistence of D(4)-quintuples (CROSBI ID 651740)
Prilog sa skupa u zborniku | sažetak izlaganja sa skupa | međunarodna recenzija
Podaci o odgovornosti
Filipin, Alan ; Bliznac Trebješanin, Marija
engleski
Nonexistence of D(4)-quintuples
Let n be a nonzero integer. A set of m distinct positive integers such that the product of any two of its elements increased by n is a perfect square is called D(n)-m-tuple. One of the question of interest is how large those sets can be. The most studied case is n = 1, and very recently He, Togbé and Ziegler announced the proof of the folklore conjecture, that there does not exist a D(1)-quintuple. In this talk we will consider the case n = 4. There is also a conjecture that there does not exist a D(4)-quintuple. The cases n = 1 and n = 4 are closely connected and usually the same methods work. However, D(4) case is sometimes technically more challenging. We will give the proof of nonexistence of D(4)-quintuples, focusing on parts that are different from D(1) case.
Diophantine m-tuples
nije evidentirano
nije evidentirano
nije evidentirano
nije evidentirano
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Podaci o prilogu
93-93.
2017.
objavljeno
Podaci o matičnoj publikaciji
19TH ÖMG CONGRESS AND ANNUAL DMV MEETING
Podaci o skupu
19TH ÖMG CONGRESS AND ANNUAL DMV MEETING
predavanje
11.09.2017-15.09.2017
Salzburg, Austrija