Abstract
The number of distinct prime factors of integers with missing digits is considered, and both the normal order and large values of the ω function over sets of this type are studied. A conjecture of Mauduit and Sárközy, on large values of the Ω function over integers whose sum of digits is fixed, is also proved.
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Konyagin, S., Mauduit, C. & Sárközy, A. On the Number of Prime Facttors of Integers Characterized by Digit Properties. Periodica Mathematica Hungarica 40, 37–52 (2000). https://doi.org/10.1023/A:1004887821978
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DOI: https://doi.org/10.1023/A:1004887821978