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Original scientific paper

Computational experiences on norm form equations with solutions forming arithmetic progressions

Attila Bérczes
Attila Pethö

Fulltext: english, pdf (281 KB) pages 1-8 downloads: 369* cite
APA 6th Edition
Bérczes, A. & Pethö, A. (2006). Computational experiences on norm form equations with solutions forming arithmetic progressions. Glasnik matematički, 41 (1), 1-8. Retrieved from https://hrcak.srce.hr/3294
MLA 8th Edition
Bérczes, Attila and Attila Pethö. "Computational experiences on norm form equations with solutions forming arithmetic progressions." Glasnik matematički, vol. 41, no. 1, 2006, pp. 1-8. https://hrcak.srce.hr/3294. Accessed 29 Nov. 2021.
Chicago 17th Edition
Bérczes, Attila and Attila Pethö. "Computational experiences on norm form equations with solutions forming arithmetic progressions." Glasnik matematički 41, no. 1 (2006): 1-8. https://hrcak.srce.hr/3294
Harvard
Bérczes, A., and Pethö, A. (2006). 'Computational experiences on norm form equations with solutions forming arithmetic progressions', Glasnik matematički, 41(1), pp. 1-8. Available at: https://hrcak.srce.hr/3294 (Accessed 29 November 2021)
Vancouver
Bérczes A, Pethö A. Computational experiences on norm form equations with solutions forming arithmetic progressions. Glasnik matematički [Internet]. 2006 [cited 2021 November 29];41(1):1-8. Available from: https://hrcak.srce.hr/3294
IEEE
A. Bérczes and A. Pethö, "Computational experiences on norm form equations with solutions forming arithmetic progressions", Glasnik matematički, vol.41, no. 1, pp. 1-8, 2006. [Online]. Available: https://hrcak.srce.hr/3294. [Accessed: 29 November 2021]

Abstracts
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.

Keywords
Norm form equation; arithmetic progression; binomial Thue equation

Hrčak ID: 3294

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

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