Multiplicative automatic sequences-Reference-Cited by-同舟云学术

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Multiplicative automatic sequences

Published:2021-08-04 Issue:2 Volume:300 Page:1297-1318
ISSN:0025-5874
Container-title:Mathematische Zeitschrift
language:en
Short-container-title:Math. Z.

Author:

Konieczny Jakub,Lemańczyk Mariusz,Müllner Clemens

Abstract

AbstractWe obtain a complete classification of complex-valued sequences which are both multiplicative and automatic.

Funder

TU Wien

Publisher

Springer Science and Business Media LLC

Subject

General Mathematics

Link

https://link.springer.com/content/pdf/10.1007/s00209-021-02834-3.pdf

Reference30 articles.

1. Allouche, J.-P., Goldmakher, L.: Mock characters and the Kronecker symbol. J. Number Theory 192, 356–372 (2018)

2. Allouche, J.-P., Shallit, J.: Automatic Sequences. Theory, Applications, Generalizations. Cambridge University Press, Cambridge (2003)

3. Bell, J.P., Bruin, N., Coons, M.: Transcendence of generating functions whose coefficients are multiplicative. Trans. Am. Math. Soc. 364(2), 933–959 (2012)

4. Bell, J.P., Coons, M., Hare, K.G.: The minimal growth of a $$k$$-regular sequence. Bull. Aust. Math. Soc. 90(2), 195–203 (2014)

5. Bézivin, J.-P.: Fonctions multiplicatives et équations différentielles. Bulletin de la Société Mathématique de France 123(3), 329–349 (1995)

Cited by 1 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. On asymptotically automatic sequences;Acta Arithmetica;2024

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