References
Deligne, P.: Formes modulaires et réprésentations de GL(2). Lecture Notes in Mathematics 349, pp. 55–105. Berlin, Heidelberg, New York: Springer 1972
Deligne, P.: Les constantes des equations functionnelles des functionsL. Lecture Notes in Mathematics 349, pp. 501–597. Berlin, Heidelberg, New York: Springer 1972
Godement, R., Jacquet, H.: Zeta functions of simple algebras. Lecture Notes in Mathematics 260. Berlin, Heidelberg, New York: Springer 1972
Green, J.A.: The characters of the finite general linear groups. Trans, Amer. Math. Soc.80, 402–447 (1955)
Karkar, M.T., Green, J.A.: A theorem on the restriction of group characters and its application to the character theory of SL (n, q). Math. Ann.215, 131–134 (1975)
Kawanaka, N.: On the irreducible characters of the finite unitary groups. Proc. Japan Acad.52, 95–97 (1976)
Kondo, T.: On Gaussian sums attached to the general linear groups over finite fields. J. Math. Soc. Japan15, 244–255 (1963)
Lamprecht, E.: Struktur und Relationen allgemeiner Gaußscher Summen in endlichen Ringen. I, II. J. Reine Angew. Math.197, 1–48 (1957)
Lehrer, G.I.: The characters of the finite special linear groups. J. Algebra26, 564–583 (1973)
Macdonald, I.G.: Symmetric functions and Hall polynomials. Oxford: University Press 1979
Springer, T.A.: The zeta function of a cuspidal representation of a finite group GL n (k), in Lie groups and their representations. Summer School of the Bolyai János Math. Soc. London: Hilger 1975
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Macdonald, I.G. Zeta functions attached to finite general linear groups. Math. Ann. 249, 1–15 (1980). https://doi.org/10.1007/BF01387076
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DOI: https://doi.org/10.1007/BF01387076