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Pregled bibliografske jedinice broj: 1123152

Extension of a Diophantine triple with the property D(4)


Bliznac Trebješanin, Marija
Extension of a Diophantine triple with the property D(4) // Acta mathematica Hungarica, 163 (2021), 1; 213-246 doi:10.1007/s10474-020-01128-0 (međunarodna recenzija, članak, znanstveni)


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Naslov
Extension of a Diophantine triple with the property D(4)

Autori
Bliznac Trebješanin, Marija

Izvornik
Acta mathematica Hungarica (0236-5294) 163 (2021), 1; 213-246

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

Ključne riječi
diophantine tuples ; pell equation ; reduction method ; linear form in logarithms

Sažetak
We give an upper bound on the number of extensions of a triple to a quadruple for the Diophantine m- tuples with the property D(4). We also confirm the conjecture of the uniqueness of such an extension in some special cases.

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 arxiv.org link.springer.com

Citiraj ovu publikaciju:

Bliznac Trebješanin, Marija
Extension of a Diophantine triple with the property D(4) // Acta mathematica Hungarica, 163 (2021), 1; 213-246 doi:10.1007/s10474-020-01128-0 (međunarodna recenzija, članak, znanstveni)
Bliznac Trebješanin, M. (2021) Extension of a Diophantine triple with the property D(4). Acta mathematica Hungarica, 163 (1), 213-246 doi:10.1007/s10474-020-01128-0.
@article{article, author = {Bliznac Trebje\v{s}anin, Marija}, year = {2021}, pages = {213-246}, DOI = {10.1007/s10474-020-01128-0}, keywords = {diophantine tuples, pell equation, reduction method, linear form in logarithms}, journal = {Acta mathematica Hungarica}, doi = {10.1007/s10474-020-01128-0}, volume = {163}, number = {1}, issn = {0236-5294}, title = {Extension of a Diophantine triple with the property D(4)}, keyword = {diophantine tuples, pell equation, reduction method, linear form in logarithms} }
@article{article, author = {Bliznac Trebje\v{s}anin, Marija}, year = {2021}, pages = {213-246}, DOI = {10.1007/s10474-020-01128-0}, keywords = {diophantine tuples, pell equation, reduction method, linear form in logarithms}, journal = {Acta mathematica Hungarica}, doi = {10.1007/s10474-020-01128-0}, volume = {163}, number = {1}, issn = {0236-5294}, title = {Extension of a Diophantine triple with the property D(4)}, keyword = {diophantine tuples, pell equation, reduction method, linear form 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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