User michel balazard - MathOverflowmost recent 30 from http://mathoverflow.net2013-05-20T22:13:24Zhttp://mathoverflow.net/feeds/user/5535http://www.creativecommons.org/licenses/by-nc/2.5/rdfhttp://mathoverflow.net/questions/15176/analytic-continuation-of-dirichlet-series-with-completely-multiplicative-coeffici/22157#22157Answer by Michel Balazard for Analytic continuation of Dirichlet series with completely multiplicative coefficients of modulus 1Michel Balazard2010-04-22T07:29:54Z2010-04-22T07:29:54Z<p>The (not completely) multiplicative sequence $a_n=(-1)^{n-1}$ is such that the corresponding $f(s)$ is entire : $f(s)=(1-2/2^s)\zeta(s)$.</p>