User michel balazard - MathOverflow most recent 30 from http://mathoverflow.net 2013-05-20T22:13:24Z http://mathoverflow.net/feeds/user/5535 http://www.creativecommons.org/licenses/by-nc/2.5/rdf http://mathoverflow.net/questions/15176/analytic-continuation-of-dirichlet-series-with-completely-multiplicative-coeffici/22157#22157 Answer by Michel Balazard for Analytic continuation of Dirichlet series with completely multiplicative coefficients of modulus 1 Michel Balazard 2010-04-22T07:29:54Z 2010-04-22T07:29:54Z <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>