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math.NT2024
On the minimal period of integer tilings
Izabella Łaba, Dmitrii Zakharov
If a finite set tiles the integers by translations, it also admits a tiling whose period has the same prime factors as . We prove that the minimal period of such a til…
math.NT2024
Most integers are not a sum of two palindromes
Dmitrii Zakharov
For , we show that the number of positive integers at most which can be written as sum of two base palindromes is at most . This answers a ques…