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math.NT2011★ 2 cited
A note on Pólya's observation concerning Liouville's function
Richard P. Brent, Jan van de Lune
We show that a certain weighted mean of the Liouville function lambda(n) is negative. In this sense, we can say that the Liouville function is negative "on average".
math.NT2011★ 3 cited
A note on the real part of the Riemann zeta-function
Juan Arias de Reyna, Richard P. Brent, Jan van de Lune
We consider the real part of the Riemann zeta-function in the half-plane . We show how to compute accurately the constant which…