In this chapter, we use the analysis of the previous section to prove that the zeta functions of the classical groups GO2l+1, GSp2l or GO+2l of types B l for l ≥ 2, C l for l ≥ 3 and D l for l ≥ 4 have natural boundaries. These results were announced in [18]. We recall the definition of the local factors and the formula in terms of the root system established in [36] and [21].
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© 2008 Springer-Verlag Berlin Heidelberg
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(2008). Natural Boundaries II: Algebraic Groups. In: Zeta Functions of Groups and Rings. Lecture Notes in Mathematics, vol 1925. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-74776-5_6
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DOI: https://doi.org/10.1007/978-3-540-74776-5_6
Publisher Name: Springer, Berlin, Heidelberg
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