The number of solutions of lambda(x)=n

Details The number of solutions of lambda(x)=n The number of solutions of lambda(x)=n

2010-10-26

arxiv.org/abs/1010.5442v2

Mathematics

Number Theory

v2. Corrected minor error on page 2. Updated reference [3]

Scientific paper

We study the question of whether for each n there is another integer m with
lambda(m)=lambda(n), where lambda is Carmichael's function. We give a "near"
proof of the fact that this is the case unconditionally, and a complete
conditional proof under the Extended Riemann Hypothesis. The main tool is a
count of prime chains from paper arXiv:0906.3380.

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