OpenAI reports regular variation of the number of totient values

If V(x) counts distinct values of Euler’s totient function up to x, then V(cx)/V(x) tends to c for every fixed real c>0.

Curated contributions 1

Understand the problem ↓

Understanding the problem

Read the background

If V(x) counts distinct values of Euler’s totient function up to x, then V(cx)/V(x) tends to c for every fixed real c>0.

Why it matters

If correct, answers the Erdős–Hall fixed-scale question and accompanies an explicit asymptotic equivalent for V(x).

What counts as progress

Does V(cx)/V(x) tend to c for each fixed c>0?

Website timeline

Publication dates and editorial changes.