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Original Articles

Schanuel's Conjecture and Algebraic Roots of Exponential Polynomials

Pages 3813-3823 | Received 16 Oct 2009, Published online: 14 Oct 2011

REFERENCES

  • Macintyre , A. ( 1991 ). Schanuel's conjecture and free exponential rings . Annals of Pure and Applied Logic 51 : 241 – 246 .
  • Shapiro , H. S. ( 1958 ). The expansion of mean-periodic functions in series of exponentials . Communications on Pure and Applied Mathematics 11 : 1 – 21 .
  • Shkop , A. C. Henson and Rubel's theorem for Zilber's pseudoexponentiation . Preprint .
  • van der Poorten , A. J. , Tijdeman , R. ( 1975 ). On common zeros of exponential polynomials . Enseignement Math. 21 : 57 – 67 .
  • van den Dries , L. ( 1984 ). Exponential rings, exponential polynomials and exponential functions . Pacific Journal of Math. 113 : 51 – 66 .
  • Zilber , B. ( 2005 ). Pseudo-exponentiation on algebraically closed fields of characteristic zero . Annals of Pure and Applied Logic 132 : 67 – 95 .
  • Communicated by D. Macpherson.

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