prikaz prve stranice dokumenta On the size of Diophantine m-tuples in imaginary quadratic number rings
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On the size of Diophantine m-tuples in imaginary quadratic number rings
Bulletin of Mathematical Sciences, 11(1) (2021); 1950020. https://doi.org/10.1142/S1664360719500206
Adžaga, Nikola

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Adžaga, N. (2021). On the size of Diophantine m-tuples in imaginary quadratic number rings. Bulletin of Mathematical Sciences, 11(1).. doi: 10.1142/S1664360719500206

Adžaga, Nikola. "On the size of Diophantine m-tuples in imaginary quadratic number rings." Bulletin of Mathematical Sciences, vol. 11(1), 2021. https://doi.org/10.1142/S1664360719500206

Adžaga, Nikola. "On the size of Diophantine m-tuples in imaginary quadratic number rings." Bulletin of Mathematical Sciences 11(1) (2021). https://doi.org/10.1142/S1664360719500206

Adžaga, N. (2021) 'On the size of Diophantine m-tuples in imaginary quadratic number rings', Bulletin of Mathematical Sciences, 11(1). doi: 10.1142/S1664360719500206

Adžaga N. On the size of Diophantine m-tuples in imaginary quadratic number rings. Bulletin of Mathematical Sciences [Internet]. 2021. [pristupljeno 09.09.2024.];11(1). doi: 10.1142/S1664360719500206

N. Adžaga, "On the size of Diophantine m-tuples in imaginary quadratic number rings", Bulletin of Mathematical Sciences, vol. 11(1), 2021. [Online]. Dostupno na: https://urn.nsk.hr/urn:nbn:hr:237:032005. [Citirano: 09.09.2024.]

Za citiranje koristite ovu mrežnu adresu: https://urn.nsk.hr/urn:nbn:hr:237:032005
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Podaci o radu
Naslov (engleski)On the size of Diophantine m-tuples in imaginary quadratic number rings
AutorNikola Adžaga
Autorova ustanovaSveučilište u Zagrebu
Građevinski fakultet
Znanstveno / umjetničko
područje, polje i grana		TEHNIČKE ZNANOSTI
Građevinarstvo
Sažetak (engleski)
A Diophantine m-tuple is a set of m distinct integers such that the product of any two distinct elements plus one is a perfect square. It was recently proven that there is no Diophantine quintuple in positive integers. We study the same problem in the rings of integers of imaginary quadratic fields. By using a gap principle proven by Diophantine approximations, we show that m≤42. Our proof is relatively simple compared to the proofs of similar results in positive integers.
Ključne riječi (engleski)
Jezikengleski
Vrsta publikacijeZnanstveni rad - Izvorni znanstveni rad
Status objaveObjavljen
Vrsta recenzijeRecenziran - međunarodna recenzija
Verzija publikacijeObjavljena verzija rada (izdavačev PDF)
Naslov časopisaBulletin of Mathematical Sciences
Brojčani podacivol. 11(1), 1950020
e-ISSN1664-3615
DOIhttps://doi.org/10.1142/S1664360719500206
URN:NBNurn:nbn:hr:237:032005
Datum objave publikacije2021
Vrsta resursaTekst
Prava pristupaOtvoreni pristup
Uvjeti korištenjaIkona licence Zaštićeno autorskim pravom.
Datum i vrijeme pohrane2024-09-04 10:57:15