OpenAI reports regular variation of the number of totient values
- Mathematics
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.
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.
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.
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.
If correct, answers the Erdős–Hall fixed-scale question and accompanies an explicit asymptotic equivalent for V(x).
Does V(cx)/V(x) tend to c for each fixed c>0?
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OpenAI reports regular variation of the number of totient values
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