In this note we establish two theorems concerning asymptotic expansion of Riemann-Siegel integrals as well as formula of generating function (double series) of coe?cents of that expansion (for computation aims); we also discuss similar results for Dirichlet series (L(s,fh) and L(s,X)), with m odd integer and X(n)(mod(m)) (even) primitive characters (inappendixB).
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