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Pregled bibliografske jedinice broj: 1028461

On the extension of D(-k)-pair {;k, k+1};


Filipin, Alan; Adžaga, Nikola; Fujita Yasutsugu
On the extension of D(-k)-pair {;k, k+1}; // 24th Central European Number Theory Conference
Komarno, Slovačka, 2019. str. 14-14 (predavanje, međunarodna recenzija, sažetak, znanstveni)


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Naslov
On the extension of D(-k)-pair {;k, k+1};

Autori
Filipin, Alan ; Adžaga, Nikola ; Fujita Yasutsugu

Vrsta, podvrsta i kategorija rada
Sažeci sa skupova, sažetak, znanstveni

Izvornik
24th Central European Number Theory Conference / - , 2019, 14-14

Skup
24th Central European Number Theory Conference

Mjesto i datum
Komarno, Slovačka, 02-06.09.2019

Vrsta sudjelovanja
Predavanje

Vrsta recenzije
Međunarodna recenzija

Ključne riječi
Diophantine m-tuples

Sažetak
Let n be a nonzero integer. The set of m distinct positive integers is called D(n)-m-tuple, if the product of any of its two elements increased by n is a perfect square. In this talk we consider the problem of extending D(-k)-pair {;k, k+1};, where k is a positive integer. We prove the following result: Let k be a positive integer and {;k, k+1, c, d}; a D(-k)-quadruple with c>1. Then d=1.

Izvorni jezik
Engleski

Znanstvena područja
Matematika



POVEZANOST RADA


Ustanove:
Građevinski fakultet, Zagreb

Profili:

Avatar Url Alan Filipin (autor)

Avatar Url Nikola Adžaga (autor)

Citiraj ovu publikaciju

Filipin, Alan; Adžaga, Nikola; Fujita Yasutsugu
On the extension of D(-k)-pair {;k, k+1}; // 24th Central European Number Theory Conference
Komarno, Slovačka, 2019. str. 14-14 (predavanje, međunarodna recenzija, sažetak, znanstveni)
Filipin, A., Adžaga, N. & Fujita Yasutsugu (2019) On the extension of D(-k)-pair {;k, k+1};. U: 24th Central European Number Theory Conference.
@article{article, year = {2019}, pages = {14-14}, keywords = {Diophantine m-tuples}, title = {On the extension of D(-k)-pair {;k, k+1};}, keyword = {Diophantine m-tuples}, publisherplace = {Komarno, Slova\v{c}ka} }
@article{article, year = {2019}, pages = {14-14}, keywords = {Diophantine m-tuples}, title = {On the extension of D(-k)-pair {;k, k+1};}, keyword = {Diophantine m-tuples}, publisherplace = {Komarno, Slova\v{c}ka} }




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