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Note on asymptotic expansion of Riemann-Siegel integral |
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| Authors: | Guangxiao Chen |
| Institution: | 1. Department of Mathematics, Zhongshan University, 510275, Guangzhou, P. R. China |
| Abstract: | In this note we establish two theorems concerning asymptotic expansion of Riemann-Siegel integrals as well as formula of generating function (double series) of coefficents 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 ( inappendix B ) . |
| Keywords: | Riemann-Siegel integral asymptotic expansion asymptotic functional equation Binet formula Titchmarsh technique INTEGRAL ASYMPTOTIC EXPANSION primitive characters integer similar results Dirichlet series computation aims asymptotic expansion double note theorems concerning integrals formula generating function |
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