arXiv Open Access 2006

Integers with a divisor in (y,2y]

Kevin Ford

Lihat Sumber

Abstrak

We give a relatively short proof of one of the central cases of the main theorem from the paper "The distribution of integers with a divisor in a given interval", math.NT/0401223. Namely, we determine the order of magnitude of the number of integers <=x with a divisor in (y,2y]. The lower bound uses a different argument than that in the aforementioned paper. As a corollary, we deduce the order of magnitude for the number of distinct products in an N x N multiplication table.

Topik & Kata Kunci

math.NT

Penulis (1)

Kevin Ford

Format Sitasi

APA MLA BibTeX

Ford, K. (2006). Integers with a divisor in (y,2y]. https://arxiv.org/abs/math/0607473

Akses Cepat

Lihat di Sumber

Informasi Jurnal

Tahun Terbit: 2006
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓