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Pregled bibliografske jedinice broj: 892853

A polynomial variant of a problem of Diophantus and its consequences


Jurasić, Ana; Filipin, Alan
A polynomial variant of a problem of Diophantus and its consequences // 19th OMG Congress and Annual DMV Meeting, Program and Book of Abstracts
Salzburg, 2017. str. 93-93 (predavanje, međunarodna recenzija, sažetak, znanstveni)


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Naslov
A polynomial variant of a problem of Diophantus and its consequences

Autori
Jurasić, Ana ; Filipin, Alan

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

Izvornik
19th OMG Congress and Annual DMV Meeting, Program and Book of Abstracts / - Salzburg, 2017, 93-93

Skup
19th OMG Congress and Annual DMV Meeting

Mjesto i datum
Salzburg, Austrija, 11.09.2017. - 15.09.2017

Vrsta sudjelovanja
Predavanje

Vrsta recenzije
Međunarodna recenzija

Ključne riječi
Diophantine m-tuples, polynomials

Sažetak
We prove that every D(1)-quadruple in R[X] is regular i.e. if {; ; ; a, b, c, d}; ; ; is the set of polynomials with real coefficients such that a product of any two of them increased by one is a perfect square then (a+b-c-d)^2 = 4(ab+1)(cd+1).

Izvorni jezik
Engleski

Znanstvena područja
Matematika



POVEZANOST RADA


Ustanove:
Sveučilište u Osijeku, Odjel za matematiku

Profili:

Avatar Url Ana Jurasić (autor)

Avatar Url Alan Filipin (autor)


Citiraj ovu publikaciju:

Jurasić, Ana; Filipin, Alan
A polynomial variant of a problem of Diophantus and its consequences // 19th OMG Congress and Annual DMV Meeting, Program and Book of Abstracts
Salzburg, 2017. str. 93-93 (predavanje, međunarodna recenzija, sažetak, znanstveni)
Jurasić, A. & Filipin, A. (2017) A polynomial variant of a problem of Diophantus and its consequences. U: 19th OMG Congress and Annual DMV Meeting, Program and Book of Abstracts.
@article{article, author = {Jurasi\'{c}, Ana and Filipin, Alan}, year = {2017}, pages = {93-93}, keywords = {Diophantine m-tuples, polynomials}, title = {A polynomial variant of a problem of Diophantus and its consequences}, keyword = {Diophantine m-tuples, polynomials}, publisherplace = {Salzburg, Austrija} }
@article{article, author = {Jurasi\'{c}, Ana and Filipin, Alan}, year = {2017}, pages = {93-93}, keywords = {Diophantine m-tuples, polynomials}, title = {A polynomial variant of a problem of Diophantus and its consequences}, keyword = {Diophantine m-tuples, polynomials}, publisherplace = {Salzburg, Austrija} }




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