Mostafa Mirabi

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component pruning 1 discrete torus 1 monadic second-order logic 1 percolation 1 sparse random graphs 1 zero-one law 1

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math.NT2026

Level Totients for Integer Mosaics

The Anh Dao, Tim Kasian, Mostafa Mirabi

We study a level analog of Euler's totient function for integer mosaics. Let $P_{i} (n)$ be the set of primes appearing in the first $i$ levels of the mosaic of $n$ , and let $I ¨ _{i} (n)$ …