Extending the PSLQ algorithm to algebraic integer relations

Title: Extending the PSLQ algorithm to algebraic integer relations
Creator: Skerritt, Matthew P.; Vrbik, Paul
Relation: Jonathan M. Borwein Commemorative Conference 2017. Proceedings of the Jonathan M. Borwein Commemorative Conference 2017 (Newcastle, Australia 25-29 September, 2017) p. 407-421
Publisher Link: http://dx.doi.org/10.1007/978-3-030-36568-4_26
Publisher: Springer
Resource Type: conference paper
Date: 2020
Description: 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.
Subject: PSLQ algorithm; algebraic integer relations; Gaussian integer relations; quadratic extension fields
Identifier: http://hdl.handle.net/1959.13/1458927
Identifier: uon:45544
Identifier: ISBN:9783030365677
Language: eng
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