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Zeta functions of arithmetic orders and Solomon's conjectures

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References

  1. Deuring, M.: Algebren, 2nd ed., Berlin-Heidelberg-New York: Springer 1968

    Google Scholar 

  2. Galkin, V.M.: ζ-function of some one-dimensional rings. Izv. Akad. Nauk SSSR Ser. Mat.37, 3–19 (1973), [Russ.]. Engl. Transl.: Math. USSR-Izv.7, 1–17 (1973)

    Google Scholar 

  3. Godement, R., Jacquet, H.: Zeta-functions of simple algebras. Lecture Notes in Mathematics260. Berlin-Heidelberg-New York: Springer 1972

    Google Scholar 

  4. Reiner, I.: Maximal Orders. London-New York: Academic Press 1975

    Google Scholar 

  5. Reiner, I.: Zeta functions of integral representations. Comm. Algebra (to appear)

  6. Solomon, L.: Zeta-functions and integral representation theory. Advances in Math.26, 306–326 (1977)

    Google Scholar 

  7. Solomon, L.: Partially ordered sets with colors. In: Relations between combinatories and other parts of mathematics. Proceedings of a Symposium (Columbus, 1978), pp. 309–329. Proceedings of Symposia in Pure Mathematics XXXIV. Providence, Rhode Island: American Mathematical Society 1979

    Google Scholar 

  8. Tate, J.T.: Fourier analysis in local fields and Hecke's zeta-functions. Thesis, Princeton University 1950 (=Cassels, J.W.S. & Fröhlich, A. (eds.): Algebraic Number Theory, pp. 305–347. London: Academic Press 1967

  9. Weil, A.: Basic Number Theory. Berlin-Heidelberg-New York: Springer 1974

    Google Scholar 

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Authors and Affiliations

  1. Department of Mathematics, University of London King's College, Strand, WC2R 2LS, London, England

    Colin J. Bushnell

  2. Department of Mathematics, University of Illinois, 61801, Urbana, Illinois, USA

    Irving Reiner

Authors
  1. Colin J. Bushnell
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  2. Irving Reiner
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The research of the second author was supported by the National Science Foundation

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Bushnell, C.J., Reiner, I. Zeta functions of arithmetic orders and Solomon's conjectures. Math Z 173, 135–161 (1980). https://doi.org/10.1007/BF01159955

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  • DOI: https://doi.org/10.1007/BF01159955

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