On poles of the exterior cube \(L\) -functions for 详细信息    查看全文

• 作者：Shunsuke Yamana (1)
  
  1. Faculty of Mathematics ; Kyushu University ; Motooka ; Nishi-ku ; Fukuoka ; 819-0395 ; Japan
  
• 关键词：Exterior cube $$L$$ L ; functions ; Poles of $$L$$ L ; functions ; Base change ; Automorphic induction ; 11F66 ; 11F70
• 刊名：Mathematische Zeitschrift
• 出版年：2015
• 出版时间：February 2015
• 年：2015
• 卷：279
• 期：1-2
• 页码：267-270
• 全文大小：144 KB
• 参考文献：1. Arthur, J., Clozel, L.: Simple Algebras, Base Change, and the Advanced Theory of the Trace Formula, Ann. of Math. Studies 120, Princeton Univ. Press, Princeton, N.J., (1989)
  2. Bump, D., Ginzburg, D.: Spin \(L\) -functions on symplectic groups. Int. Math. Res. Not. 8, 153鈥?60 (1992) CrossRef
  3. Bump, D., Ginzburg, D.: Spin \(L\) -functions on \(\text{ GSp }_{8}\) and \(\text{ GSp }_{10}\) . Trans. Am. Math. Soc. 352(2), 875鈥?99 (1999) CrossRef
  4. Ginzburg, D.: On spin \(L\) -functions for orthogonal groups. Duke Math. J. 77, 753鈥?98 (1995) CrossRef
  5. Ginzburg, D.: On standard \(L\) -functions for \(E_6\) and \(E_7\) . J. Reine Angew Math. 465, 101鈥?31 (1995)
  6. Ginzburg, D., Rallis, S.: The exterior cube \(L\) -function for GL(6). Compos. Math. 123, 243鈥?72 (2000) CrossRef
  7. Hundley, J.: Spin \(L\) -functions for \(\text{ GSO }_{10}\) and \(\text{ GSO }_{12}\) . Israel J. Math. 165, 103鈥?32 (2008) CrossRef
  8. Ikeda, T.: On the location of poles of the triple L-functions. Compos. Math. 83, 187鈥?37 (1992)
  9. Kim, H.: On local \(L\) -functions and normalized intertwining operators. Canad. J. Math. 57(3), 535鈥?97 (2005) CrossRef
  10. Shahidi, F.: On certain \(L\) -functions. Am. J. Math. 103, 297鈥?55 (1981) CrossRef
  
• 刊物类别：Mathematics and Statistics
• 刊物主题：Mathematics
  Mathematics
  
• 出版者：Springer Berlin / Heidelberg
• ISSN：1432-1823

文摘

We determine the irreducible cuspidal automorphic representations of \(\mathrm {GL}_6\) whose twisted exterior cube \(L\) -functions have poles.