### 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.

Original language | English |
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Pages (from-to) | 37-52 |

Number of pages | 16 |

Journal | Periodica Mathematica Hungarica |

Volume | 40 |

Issue number | 1 |

DOIs | |

Publication status | Published - Jan 1 2000 |

### Keywords

- Digit properties
- Number of prime factors

### ASJC Scopus subject areas

- Mathematics(all)

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## Cite this

Konyagin, S., Mauduit, C., & Sárközy, A. (2000). On the number of prime factors of integers characterized by digit properties.

*Periodica Mathematica Hungarica*,*40*(1), 37-52. https://doi.org/10.1023/A:1004887821978