An Algorithm for Solving a Family of Fourth-Degree Diophantine Equations that Satisfy Runge’s Condition

Описание

Тип публикации: статья из журнала

Год издания: 2021

Идентификатор DOI: 10.1134/S0361768821010060

Аннотация: Abstract: This paper proposes an algorithmic implementation of the elementary version of Runge’s method for a family of fourth-degree Diophantine equations in two unknowns. Any Diophantine equation of the fourth degree the leading homogeneous part of which is decomposed into a product of linear and cubic polynomials can be reduced Показать полностьюto equations of the type considered in this paper. The corresponding algorithm (in its optimized version) is implemented in the PARI/GP computer algebra system. © 2021, Pleiades Publishing, Ltd.

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Издание

Журнал: Programming and Computer Software

Выпуск журнала: Vol. 47, Is. 1

Номера страниц: 29-33

ISSN журнала: 03617688

Издатель: Pleiades journals

Персоны

  • Osipov N.N. (Siberian Fed Univ, Sch Space & Informat Technol, Ul Kirenskogo 26, Krasnoyarsk 660074, Russia)
  • Kytmanov A.A. (Siberian Fed Univ, Sch Space & Informat Technol, Ul Kirenskogo 26, Krasnoyarsk 660074, Russia)

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