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arXiv · 1809.06063

Extending the PSLQ Algorithm to Algebraic Integer Relations

Matthew P. Skerritt·Paul Vrbik
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Abstract

The PSLQ algorithm computes integer relations for real numbers and Gaussian integer relations for complex numbers. We endeavour to extend PSLQ to find integer relations consisting of algebraic integers from some quadratic extension fields (in both the real and complex cases). We outline the algorithm, discuss the required modifications for handling algebraic integers, problems that have arisen, experimental results, and challenges to further work.

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BibTeXRIS

Matthew P. Skerritt, Paul Vrbik. 2018-09-17. Extending the PSLQ Algorithm to Algebraic Integer Relations. https://doi.org/10.1007/978-3-030-36568-4_26

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