2019The Quarterly Journal of MathematicsRequires access

COUNTING INTEGERS WITH A SMOOTH TOTIENT

William D. Banks, John Friedlander, Carl Pomerance, Igor E. Shparlinski

Open publisher page 1 citations

Abstract

Abstract In an earlier paper we considered the distribution of integers $n$ for which Euler’s totient function at $n$ has all small prime factors. Here we obtain an improvement that is likely to be best possible.

About this research paper

What this paper is about

Abstract In an earlier paper we considered the distribution of integers $n$ for which Euler’s totient function at $n$ has all small prime factors. Here we obtain an improvement that is likely to be best possible.

Why it matters

OpenAlex reports 1 citations for this work. Citation counts describe recorded attention and do not establish research quality.

Key contribution

A contribution statement is not available in the OpenAlex record.

Method / approach

Method details are not available in the OpenAlex metadata.

Main findings

Findings are not separately available in the OpenAlex metadata.

Limitations

Limitations are not available in the OpenAlex metadata.

Applications

Application details are not available in the OpenAlex metadata.

Available abstract

Abstract In an earlier paper we considered the distribution of integers $n$ for which Euler’s totient function at $n$ has all small prime factors. Here we obtain an improvement that is likely to be best possible.

Key concepts: Euler's totient function, Mathematics, Prime (order theory), Combinatorics, Euler's formula, Discrete mathematics, Mathematical analysis

Related papers

Back to paper searchBrowse research topicsOriginal source
COUNTING INTEGERS WITH A SMOOTH TOTIENT — Research Paper | ScholarLens