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An L-Function of Degree 27 for Spin9

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Abstract

This paper studies a Rankin-Selberg integral for a degree 27 L-function on Spin(9). It makes use of an Eisenstein series on the exceptional group F 4.

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References

  1. N. Bourbaki, 'Eléments de mathématique. Groupes et algbres de Lie. Chap. IV, V et VI, Hermann, 1968.

  2. D. Bump and D. Ginzburg, “The Adjoint L-function of GL,” J. Reine Angew. Math. 505(4) (1998), 119-172.

    Google Scholar 

  3. R. Carter, Simple Groups of Lie Type, Wiley-Interscience, 1972.

  4. W. Casselman and J. Shalika, “The unramified principal series of p-adic groups, II: The Whittaker function,” Compos. Math. 41 (1980), 207-231.

    Google Scholar 

  5. D. Ginzburg, “On Spin L-functions for Orthogonal Groups,” Duke Math. J. 77 (1995), 753-798.

    Google Scholar 

  6. D. Ginzburg, “A Rankin-Selberg integral for the adjoint L-function of Sp,” Israel J. Math 95(4) (1996), 301-339.

    Google Scholar 

  7. D. Ginzburg and D. Jiang, “A Siegel-Weil identity for G 2 and on Poles of L-functions,” J. of Number Theory 82 (2000), 256-287.

    Google Scholar 

  8. D. Ginzburg and S. Rallis, “A Tower of Rankin-Selberg Integrals,” IMRN 4 (1994), 201-208.

    Google Scholar 

  9. V. Kac, “Some remarks on nilpotent orbits,” J. Algebra 64 (1980), 190-213.

    Google Scholar 

  10. D. Littlewood, “On invariants under restricted groups,” Philos. Trans. Roy. Sec. A 239 (1944), 387-417.

    Google Scholar 

  11. I. Macdonald, “Symmetric Functions and Hall Polynomials,” 2nd edn., Oxford, 1995.

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Bump, D., Ginzburg, D. An L-Function of Degree 27 for Spin9 . The Ramanujan Journal 7, 63–78 (2003). https://doi.org/10.1023/A:1026274524057

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  • DOI: https://doi.org/10.1023/A:1026274524057

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