Multidimensional $p$-adic continued fraction algorithms
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- by Asaki Saito, Jun-ichi Tamura and Shin-ichi Yasutomi;
- Math. Comp. 89 (2020), 351-372
- DOI: https://doi.org/10.1090/mcom/3458
- Published electronically: June 27, 2019
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Abstract:
We give a new class of multidimensional $p$-adic continued fraction algorithms. We propose an algorithm in the class for which we can expect that the multidimensional $p$-adic version of Lagrange’s Theorem will hold.References
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Bibliographic Information
- Asaki Saito
- Affiliation: Future University Hakodate, Hakodate, Hokkaido 041-8655, Japan
- MR Author ID: 679931
- Email: saito@fun.ac.jp
- Jun-ichi Tamura
- Affiliation: Tsuda College, Kodaira, Tokyo 187-8577, Japan
- MR Author ID: 229479
- Email: jtamura@tsuda.ac.jp
- Shin-ichi Yasutomi
- Affiliation: Toho University, Funabashi, Chiba 274-8510, Japan
- MR Author ID: 306289
- Email: shinichi.yasutomi@sci.toho-u.ac.jp
- Received by editor(s): August 7, 2018
- Received by editor(s) in revised form: March 26, 2019
- Published electronically: June 27, 2019
- Additional Notes: This research was supported by JSPS KAKENHI Grant Number 15K00342.
- © Copyright 2019 American Mathematical Society
- Journal: Math. Comp. 89 (2020), 351-372
- MSC (2010): Primary 11J70; Secondary 11J61
- DOI: https://doi.org/10.1090/mcom/3458
- MathSciNet review: 4011546