Notes on the Riemann zeta-function-IV
Copyright policy )Notes on the Riemann zeta-function-IV
In earlier papers of this series III and IV, poles of certain meromorphic functions involving Riemann's zeta-function at shifted arguments and Dirichlet polynomials were studied. The functions in question were quotients of products of such functions, and it was shown that they have ``many'' poles. The main result in the present paper is that the same conclusion remains valid even for finite sums of functions of this type.
\(\zeta (s)\) and \(L(s, \chi)\), zeros, [MATH] Mathematics [math], good Dirichlet series, Poles, [MATH]Mathematics [math], gaps between poles, poles, Dirichlet series. Dirichlet polynomials, Riemann zeta-function
\(\zeta (s)\) and \(L(s, \chi)\), zeros, [MATH] Mathematics [math], good Dirichlet series, Poles, [MATH]Mathematics [math], gaps between poles, poles, Dirichlet series. Dirichlet polynomials, Riemann zeta-function
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