- 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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