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On polynomials and exponential polynomials in several complex variables

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References

  1. Brownawell, W.D., Masset, D.W.: Multiplicity estimates for analytic functions I. J. reine angew. Math.314, 200–216 (1980)

    Google Scholar 

  2. Brownawell, W.D., Masser, D.W.: Multiplicity estimates for analytic functions II. Duke Math. J.47, 273–295 (1980)

    Google Scholar 

  3. Brownawell, W.D.: On the orders of zeros of certain functions. Mém. Soc. Math. France2, 5–20 (1980)

    Google Scholar 

  4. Chudnovsky, G.V.: A mutual transcendence measure for some classes of numbers. Dokl. Akad. Nauk SSSR218, 771–774 (1974); Soviet Math. Dokl.15, 1424–1428 (1974)

    Google Scholar 

  5. Chudnovsky, G.V.: The degree of hypersurfaces containing lattices in ℂn I. Planar case (unpublished)

  6. Gröbner, W.: Moderne algebraische Geometrie — die idealtheoretischen Grundlagen. Wien. Innsbruck: Springer-Verlag 1949

    Google Scholar 

  7. Masser, D.W., Wüstholz, G.: Zero estimates on group varieties

  8. Nesterenko, J.V.: Estimates for the orders of zeroes of functions of a certain class and their applications in the theory of transcendental numbers. Izv. Akad. Nauk USSR, Ser. Mat.41, 253–284 (1977); Math. USSR Izv.11, 239–270 (1977)

    Google Scholar 

  9. Tijdeman, R.: On the number of zeroes of general exponential polynomials. Indagationes Math.33, 1–7 (1971)

    Google Scholar 

  10. Tijdeman, R.: An auxiliary result in the theory of transcendental numbers. J. Number Theory5, 80–94 (1973)

    Google Scholar 

  11. Waldschmidt, M.: Nombres transcendants et groupes algébriques. Astérisque69–70 (1979)

  12. Waldschmidt, M.: Transcendence methods. Queen's Papers in Pure and Applied Mathematics No. 52, Kingston, Ontario 1979

  13. Waldschmidt, M.: Transcendance et exponentielles en plusieurs variables. Invent. math.63, 97–127 (1981)

    Google Scholar 

  14. Zariski, O., Samuel, P.: Commutative algebra Vols I, II. New York: Springer-Verlag 1968

    Google Scholar 

  15. Cohen, I.S.: On the structure and ideal theory of complete local rings. Trans. Amer. Math. Soc.59, 54–106 (1946)

    Google Scholar 

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Masser, D.W. On polynomials and exponential polynomials in several complex variables. Invent Math 63, 81–95 (1981). https://doi.org/10.1007/BF01389194

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