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.