期刊文献+

NOTE ON ASYMPTOTIC EXPANSION OF RIEMANN-SIEGEL INTEGRAL

NOTE ON ASYMPTOTIC EXPANSION OF RIEMANN-SIEGEL INTEGRAL
下载PDF
导出
摘要 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 ) . 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 ) .
机构地区 Zhongshan University
出处 《Analysis in Theory and Applications》 2006年第2期120-135,共16页 分析理论与应用(英文刊)
关键词 Rieraann-Siegel integral asymptotic expansion asymptotic functional equation Binet formula Titchmarsh technique Rieraann-Siegel integral, asymptotic expansion, asymptotic functional equation, Binet formula, Titchmarsh technique
  • 相关文献

参考文献1

  • 1Max Deuring.Asymptotische Entwicklungen der DirichletschenL-Reihen[J].Mathematische Annalen.1967(1)

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部