Problem 57472. Compute the Lagarias Riemann Hypothesis sequence

ChrisR

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Write a function that takes an input number n and produces a sequence (i.e., all values up to and including the nth value) computed with 
where  is the nth harmonic number and  is the sum of divisors of n. 
Lagarias proved that  for all n only if the Riemann Hypothesis is true. 

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Last Solution submitted on May 25, 2026

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William on 24 Dec 2022

Hi Chris. I think a couple of changes need to be made in the problem description. First, there is a sign error in the definition of a(n). Second, it should say that the function, with argument 'n', is supposed to return an array of values a(1:n) and not just a single value.

ChrisR on 25 Dec 2022

Thanks William. I made those changes.

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