\phi (a) / a+ \phi (b)/ b <1 , euler phi function inequalities
Source: 2006 VMEO III Shortlist SL N13 Vietnamese Mathematics e - Olympiad https://artofproblemsolving.com/community/c2461015_vmeo__viet
October 28, 2021
Euler s Phi Functionnumber theoryinequalitieseuler totient function
Problem Statement
Prove the following two inequalities:
1) If , then exist positive integers such that and
2) If , then exist integer integers such that and