Christian Táfula

activity

20192026

most citedClassification of the conjugacy classes of

SL (2, R)

1 citations · 2 across the 9 of their papers we have counts for

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Showing 2024Show all

3 papers · 1 filter

math.NT2024

Multiplicative recurrence of Möbius transformations

Sun-Kai Leung, Christian Táfula

We establish a complete characterization of multiplicative recurrence for images of the positive integers under Möbius transformations, answering a question of Donoso--Le--Moreira-…

math.CO2024

Knights are 24/13 times faster than the king

Christian Táfula

On an infinite chess board, how much faster can the knight reach a square when compared to the king, in average? More generally, for coprime $b > a \in Z_{\geq 1}$ such that…

math.NT2024

Representation functions with prescribed rates of growth

Christian Táfula

Fix an integer $h \geq 2$ , and let $b_{1}, \dots, b_{h}$ be (not necessarily distinct) positive integers with $g cd (b_{1}, \dots, b_{h}) = 1$ . For any subset $A \subseteq N$ , le…