We define the category of recurrence matrices over a field K and use it to calculate determinants of Hankel matrices related to the Thue–Morse sequence.
Cette Note introduit la catégorie des matrices à récurrence sur un corps K. Ceci permet de calculer certains déterminants reliés à la suite de Thue–Morse.
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DOI:
10.1016/j.crma.2005.11.025
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Bacher, Roland 1
@article{CRMATH_2006__342_3_161_0, author = {Bacher, Roland}, title = {La suite de {Thue{\textendash}Morse} et la cat\'egorie {Rec}}, journal = {Comptes Rendus. Math\'ematique}, pages = {161--164}, publisher = {Elsevier}, volume = {342}, number = {3}, year = {2006}, doi = {10.1016/j.crma.2005.11.025}, language = {fr}, url = {http://archive.numdam.org/articles/10.1016/j.crma.2005.11.025/} }
TY - JOUR AU - Bacher, Roland TI - La suite de Thue–Morse et la catégorie Rec JO - Comptes Rendus. Mathématique PY - 2006 SP - 161 EP - 164 VL - 342 IS - 3 PB - Elsevier UR - http://archive.numdam.org/articles/10.1016/j.crma.2005.11.025/ DO - 10.1016/j.crma.2005.11.025 LA - fr ID - CRMATH_2006__342_3_161_0 ER -
Bacher, Roland. La suite de Thue–Morse et la catégorie Rec. Comptes Rendus. Mathématique, Volume 342 (2006) no. 3, pp. 161-164. doi : 10.1016/j.crma.2005.11.025. http://archive.numdam.org/articles/10.1016/j.crma.2005.11.025/
[1] Hankel determinants of the Thue–Morse sequence, Ann. Inst. Fourier, Volume 48 (1998) no. 1, pp. 1-27
[2] Automatic Sequences. Theory, Applications, Generalizations, Cambridge University Press, 2003
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