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B-functions and holonomic systems

Rationality of roots ofB-functions

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References

  1. Bernstein, I. N.: The analytic continuation of generalized functions with respect to a parameter. Functional Anal. Appl.6, 26–40 (1972)

    Google Scholar 

  2. Bernstein, I. N., Gelfand, S. I.: Meromorphy of the functionP λ. Functional Anal. Appl.3, 84–86 (1969)

    Google Scholar 

  3. Björk, J. E.: Dimensions over Algebras of Differential Operators. Preprint

  4. Kashiwara, M.: Algebraic study of systems of partial differential equations. Master's thesis, Univ. of Tokyo, 1971 (Japanese)

  5. Kashiwara, M.: On the maximally overdetermined system of linear differential equations. I. Publ. RIMS, Kyoto Univ.10, 563–579 (1975)

    Google Scholar 

  6. Kashiwara, M., Kawai, T.: Micro-local properties of\(\Pi _{j = 1}^n f_{j + e}^{s_j } \). Proc. Japan Acad.51, 270–272 (1975)

    Google Scholar 

  7. Hironaka, H.: Resolution of singularities of an algebraic variety over a field of characteristic zero, I. II. Ann. of Math.79, 109–326 (1964)

    Google Scholar 

  8. Malgrange, B.: Le polynome de Bernstein d'une singularité isolée. Lecture notes in Math.459, pp. 98–119, Berlin-Heidelberg-New York: Springer

  9. Malgrange, B.: Sur les polynomes de I. N. Bernstein, Uspekhi Mat. Nauk29 (4), 81–88 (1974)

    Google Scholar 

  10. Sato, M.: Theory of prehomogeneous vector spaces. Sugaku no Ayumi 15–1 (1970) (noted by T. Shintani)

  11. Sato, M., Kawai, T., Kashiwara, M.: Microfunctions and Pseudo-differential Equations, Proc. Katata Conf. Lecture Notes in Math.287, pp. 263–529. Berlin-Heidelberg-New York: Springer 1973

    Google Scholar 

  12. Sato, M., Shintani, T.: On zeta functions associated with prehomogeneous vector space. Annals of Math.100, 131–170 (1974)

    Google Scholar 

  13. Proceeding of Symposium ‘Singularity of hypersurfaces andb-functions’, Surikaisekikenkyushokokyuroku 225 (1975)

  14. Yano, T.: The theory ofb-functions. Mater's thèse presented to Kyoto University (1975) (here we find many interesting examples ofb-functions)

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  1. 284 Harvard St. 64, 02139, Cambridge, Mass., USA

    Masaki Kashiwara

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  1. Masaki Kashiwara
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Supported by NFS contract MCS 73-08412

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Kashiwara, M. B-functions and holonomic systems. Invent Math 38, 33–53 (1976). https://doi.org/10.1007/BF01390168

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  • DOI: https://doi.org/10.1007/BF01390168

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