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An algorithm for solving a quartic Diophantine equation satisfying Runge’s condition. (English) Zbl 07195036
England, Matthew (ed.) et al., Computer algebra in scientific computing. 21st international workshop, CASC 2019, Moscow, Russia, August 26–30, 2019. Proceedings. Cham: Springer (ISBN 978-3-030-26830-5/pbk; 978-3-030-26831-2/ebook). Lecture Notes in Computer Science 11661, 377-392 (2019).
Summary: In this paper, we suggest an implementation of elementary version of Runge’s method for solving a family of Diophantine equations of degree four. Moreover, the corresponding solving algorithm (in its optimized version) is implemented in the computer algebra system PARI/GP.
For the entire collection see [Zbl 1428.68016].
MSC:
11Y50 Computer solution of Diophantine equations
Software:
PARI/GP
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