Smooth numbers with restricted digits

Abstract: Integers obeying a digital restriction, such as having no 7s in their base 10 representation, are a discrete analog of the Cantor set and have been a recent topic of interest in analytic number theory. Smooth integers, which are integers having only small prime factors, are an important class of integers with applications to many different areas of math. In this talk, we find an asymptotic on the intersection between the two.

dynamical systemsnumber theory

Audience: researchers in the topic

( slides )

---

One World Numeration seminar

Series comments: Description: Online seminar on numeration systems and related topics

For questions or subscribing to the mailing list, contact the organisers at numeration@irif.fr

---