Arithmetic of weighted Catalan numbers
نویسندگان
چکیده
In this paper, we study arithmetic properties of weighted Catalan numbers. Previously, Postnikov and Sagan found conditions under which the 2-adic valuations numbers are equal to We obtain same result weaker by considering a map from class functions integers. These methods also extended q-weighted numbers, strengthening previous Konvalinka. Finally, prove some results on periodicity modulo an integer apply them specific case number combinatorial types Morse links. Many open questions mentioned.
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ژورنال
عنوان ژورنال: Journal of Number Theory
سال: 2021
ISSN: ['0022-314X', '1096-1658']
DOI: https://doi.org/10.1016/j.jnt.2021.03.007