On symmetries of roots of rational functions and the classification of rational function solutions of functional equations arising from multiplication of quantum integers with prime semigroup supports-Reference-Cited by-同舟云学术

On symmetries of roots of rational functions and the classification of rational function solutions of functional equations arising from multiplication of quantum integers with prime semigroup supports

Published:2018-10-05 Issue:6 Volume:92 Page:1001-1035
ISSN:0001-9054
Container-title:Aequationes mathematicae
language:en
Short-container-title:Aequat. Math.

Author:

Nguyen Lan

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Discrete Mathematics and Combinatorics,General Mathematics

Link

http://link.springer.com/article/10.1007/s00010-018-0607-y/fulltext.html

Reference14 articles.

1. Borisov, A., Nathanson, M.B., Wang, Y.: Quantum integers and cyclotomy. J. Number Theory 109(1), 120–135 (2004)

2. Kontorovich, A., Nathanson, M.B.: Quadratic addition rules for quantum integers. J. Number Theory 117(1), 1–13 (2006)

3. Nathanson, M.B.: A functional equation arising from multiplication of quantum integers. J. Number Theory 103(2), 214–233 (2003)

4. Nathanson, M.B.: Formal power series arising from multiplication of quantum integers. DIMACs Ser. Discrete Math. Theor. Comput. Sci. 64, 145–157 (2004)

5. Nathanson, M.B.: Additive number theory and the ring of quantum integers. In: General Theory of Information Transfer and Combinatorics, Springer Lecture Note in Computer Science, vol. 4123, pp. 505–511 (2006)

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2. On the rational function solutions of functional equations arising from multiplication of quantum integers;Mathematische Zeitschrift;2019-08-28