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Pregled bibliografske jedinice broj: 1197200

D(4)-triples with two largest elements in common


Bliznac Trebješanin, Marija
D(4)-triples with two largest elements in common // Mathematica slovaca, 73 (2023), 2; 343-352 doi:10.1515/ms-2023-0027 (međunarodna recenzija, članak, znanstveni)


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Naslov
D(4)-triples with two largest elements in common

Autori
Bliznac Trebješanin, Marija

Izvornik
Mathematica slovaca (0139-9918) 73 (2023), 2; 343-352

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

Ključne riječi
Diophantine m-tuples ; Pellian equations ; Hypergeometric method ; Linear forms in logarithms

Sažetak
In this paper we consider two new conjectures concerning D(4)-quadruples and prove some special cases that support their validity. The main result is a proof that {; ; ; a, b, c}; ; ; and {; ; ; a + 1, b, c}; ; ; cannot both be D(4)-triples.

Izvorni jezik
Engleski

Znanstvena područja
Matematika



POVEZANOST RADA


Projekti:
HRZZ-IP-2018-01-1313 - Diofantska geometrija i primjene (DIOPHANT) (Kazalicki, Matija, HRZZ - 2018-01) ( CroRIS)

Ustanove:
Prirodoslovno-matematički fakultet, Split

Poveznice na cjeloviti tekst rada:

doi www.degruyter.com

Citiraj ovu publikaciju:

Bliznac Trebješanin, Marija
D(4)-triples with two largest elements in common // Mathematica slovaca, 73 (2023), 2; 343-352 doi:10.1515/ms-2023-0027 (međunarodna recenzija, članak, znanstveni)
Bliznac Trebješanin, M. (2023) D(4)-triples with two largest elements in common. Mathematica slovaca, 73 (2), 343-352 doi:10.1515/ms-2023-0027.
@article{article, author = {Bliznac Trebje\v{s}anin, Marija}, year = {2023}, pages = {343-352}, DOI = {10.1515/ms-2023-0027}, keywords = {Diophantine m-tuples, Pellian equations, Hypergeometric method, Linear forms in logarithms}, journal = {Mathematica slovaca}, doi = {10.1515/ms-2023-0027}, volume = {73}, number = {2}, issn = {0139-9918}, title = {D(4)-triples with two largest elements in common}, keyword = {Diophantine m-tuples, Pellian equations, Hypergeometric method, Linear forms in logarithms} }
@article{article, author = {Bliznac Trebje\v{s}anin, Marija}, year = {2023}, pages = {343-352}, DOI = {10.1515/ms-2023-0027}, keywords = {Diophantine m-tuples, Pellian equations, Hypergeometric method, Linear forms in logarithms}, journal = {Mathematica slovaca}, doi = {10.1515/ms-2023-0027}, volume = {73}, number = {2}, issn = {0139-9918}, title = {D(4)-triples with two largest elements in common}, keyword = {Diophantine m-tuples, Pellian equations, Hypergeometric method, Linear forms in logarithms} }

Časopis indeksira:


  • Web of Science Core Collection (WoSCC)
    • Science Citation Index Expanded (SCI-EXP)
    • SCI-EXP, SSCI i/ili A&HCI
  • Scopus


Citati:





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