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Computational experiences on norm form equations with solutions forming arithmetic progressions

Attila Bérczes
Attila Pethö

Puni tekst: engleski, pdf (281 KB) str. 1-8 preuzimanja: 378* citiraj
APA 6th Edition
Bérczes, A. i Pethö, A. (2006). Computational experiences on norm form equations with solutions forming arithmetic progressions. Glasnik matematički, 41 (1), 1-8. Preuzeto s https://hrcak.srce.hr/3294
MLA 8th Edition
Bérczes, Attila i Attila Pethö. "Computational experiences on norm form equations with solutions forming arithmetic progressions." Glasnik matematički, vol. 41, br. 1, 2006, str. 1-8. https://hrcak.srce.hr/3294. Citirano 06.12.2021.
Chicago 17th Edition
Bérczes, Attila i Attila Pethö. "Computational experiences on norm form equations with solutions forming arithmetic progressions." Glasnik matematički 41, br. 1 (2006): 1-8. https://hrcak.srce.hr/3294
Harvard
Bérczes, A., i Pethö, A. (2006). 'Computational experiences on norm form equations with solutions forming arithmetic progressions', Glasnik matematički, 41(1), str. 1-8. Preuzeto s: https://hrcak.srce.hr/3294 (Datum pristupa: 06.12.2021.)
Vancouver
Bérczes A, Pethö A. Computational experiences on norm form equations with solutions forming arithmetic progressions. Glasnik matematički [Internet]. 2006 [pristupljeno 06.12.2021.];41(1):1-8. Dostupno na: https://hrcak.srce.hr/3294
IEEE
A. Bérczes i A. Pethö, "Computational experiences on norm form equations with solutions forming arithmetic progressions", Glasnik matematički, vol.41, br. 1, str. 1-8, 2006. [Online]. Dostupno na: https://hrcak.srce.hr/3294. [Citirano: 06.12.2021.]

Sažetak
In the present paper we solve the equation

NK/Q(x0 + x1α + x2α2 + ... + xn -1αn -1) = 1

in x0, ... , xn -1 ∈ Z, such that x0, ... , xn -1 is an arithmetic progression, where α is a root of the polynomial xn - a, for all integers 2 ≤ a ≤ 100 and n ≥ 3.

Ključne riječi
Norm form equation; arithmetic progression; binomial Thue equation

Hrčak ID: 3294

URI
https://hrcak.srce.hr/3294

Posjeta: 615 *