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Original Articles

A Counterexample in the Theory of Local Zeta Functions

Pages 299-305 | Published online: 03 Apr 2012

REFERENCES

  • Cartan , Élie . 1913 . “Les groupes projectifs qui ne laissent invariante aucune multiplicité plane” . Bull. Soc. Math. France , 41 : 1 – 44 . [Cartan 1913]
  • Denef , Jan and Meuser , Diane . 1991 . “A functional equation of Igusa's local zeta function” . Amer. J. Math. , 113 : 1135 – 1152 . [Denef and Meuser 1991]
  • Igusa , Jun-ichi . 1974 . “Complex powers and asymptotic expansions I” . J. reine angew. Math. , 268/269 : 110 – 130 . [Igusa 1974]
  • Igusa , Jun-ichi . 1975 . “Complex powers and asymptotic expansions II” . J. reine angew. Math. , 278/279 : 307 – 321 . [Igusa 1975]
  • Igusa , Jun-ichi . 1989 . “Universal p-adic zeta functions and their functional equations” . Amer. J. Math. , 111 : 671 – 716 . [Igusa 1989]
  • Joyner , David and Martin , Roland . “A Maple package for the decomposition of certain tensor products of representations using crystal graphs” [Joyner and Martin 1994], preprint, ftp://ftp.maplesoft.com/pub/maple/share/5.3_combined/share/crystal.tex. The package itself can be obtained at …/crystal
  • Martin , Roland . 1992 . “The universal p-adic zeta function associated to the adjoint group of SLl+1enlarged by the group of scalar multiples” [Martin 1992a], preprint
  • Martin , Roland . 1992 . “On generalized Igusa local zeta functions associated to simple Chevalley K-groups of type AlBlClDlE6E7E8F4and G2under the adjoint representation” [Martin 1992b], preprint
  • Martin , Roland . 1996 . “On simple Igusa local zeta functions” . Electronic Research Announcements of the AMS , 1 ( 3 ) [Martin 1996]
  • Martin , Roland . “On the classification of Igusa local zeta functions associated to certain irreducible matrix groups” [Martin a], in preparation

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