most citedThe lcm(1,2,...,n) as a product of sine values sampled over the points in Farey sequences

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math.CA2009★ 1 cited

The lcm(1,2,...,n) as a product of sine values sampled over the points in Farey sequences

Peter Luschny, Stefan Wehmeier

Recently Greg Martin derived an interesting formula for the least common multiple of {1,2,...,n}. Here, we give an exposition of a concise proof in terms of the sine function.

math.NT2005

Meissel's theorem in additive arithmetical semigroups

Stefan Wehmeier

We show how to control the error term in Mertens' formula and related theorems in the context of additive arithmetical semigroups and carry over an old related result of Meissel.