Approach regions for the square root of the Poisson kernel and boundary functions in certain Orlicz spaces

M. Brundin

Displaying similar documents to “Approach regions for the square root of the Poisson kernel and boundary functions in certain Orlicz spaces”

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For a positive integer $n$ we write $φ (n)$ for the Euler function of $n$ . In this note, we show that if $b > 1$ is a fixed positive integer, then the equation $φ (x \frac{b^{n} - 1}{b - 1}) = y \frac{b^{m} - 1}{b - 1}, where x, y \in {1, ..., b - 1},$ has only finitely many positive integer solutions $(x, y, m, n)$ .

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