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首页> 外文期刊>Mathematische Annalen >On special Bessel periods and the Gross-Prasad conjecture for SO(2n+1) x SO(2)
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On special Bessel periods and the Gross-Prasad conjecture for SO(2n+1) x SO(2)

机译：在特殊的贝塞尔时期和普罗萨德猜想中（2n + 1）x所以（2）

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摘要

In this paper we investigate one instance of the global Gross-Prasad conjecture. Our main result proves that if an irreducible cuspidal automorphic representation pi of an odd dimensional special orthogonal group, whose local component pi(w) at some finite place w is generic, admits the special Bessel model corresponding to a quadratic extension E over a base field F, then the central L-value L(1/2, pi) L(1/2, pi x chi E) does not vanish. Here chi E denotes the quadratic character of A(F)(x) corresponding to E. As an application, we obtain the equivalence between the non-vanishing of the special Bessel period and that of the corresponding central L-value when pi is associated to a full modular holomorphic Siegel cusp form of degree two, which is a Hecke eigenform, and E is an imaginary quadratic extension of Q.
机译：None

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  • 来源
    《Mathematische Annalen》 |2017年第2期|共26页
  • 作者

    Furusawa Masaaki; Morimoto Kazuki;

  • 作者单位

    Osaka City Univ Grad Sch Sci Dept Math Sumiyoshi Ku Sugimoto 3-3-138 Osaka 5588585 Japan;

    Kyoto Univ Dept Math Sakyo Ku Oiwake Cho Kyoto 6068502 Japan;

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  • 正文语种 eng
  • 中图分类 数学;
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