Some results about exponential fields (survey)

Helmut Wolter

Mémoires de la Société Mathématique de France (1984)

  • Volume: 16, page 85-94
  • ISSN: 0249-633X

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Wolter, Helmut. "Some results about exponential fields (survey)." Mémoires de la Société Mathématique de France 16 (1984): 85-94. <http://eudml.org/doc/94853>.

@article{Wolter1984,
author = {Wolter, Helmut},
journal = {Mémoires de la Société Mathématique de France},
keywords = {theory of exponential fields; axiomatic classes; dominance problem; problem of the last root},
language = {eng},
pages = {85-94},
publisher = {Société mathématique de France},
title = {Some results about exponential fields (survey)},
url = {http://eudml.org/doc/94853},
volume = {16},
year = {1984},
}

TY - JOUR
AU - Wolter, Helmut
TI - Some results about exponential fields (survey)
JO - Mémoires de la Société Mathématique de France
PY - 1984
PB - Société mathématique de France
VL - 16
SP - 85
EP - 94
LA - eng
KW - theory of exponential fields; axiomatic classes; dominance problem; problem of the last root
UR - http://eudml.org/doc/94853
ER -

References

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  1. [Da] Dahn, B.I., The limit behaviour of exponential terms. Preprint 48 (1982) der Sekt. Math. der Humboldt-Universität zu Berlin. Zbl0581.03026
  2. [DW1] Dahn, B.I. and H. Wolter, On the theory of exponential fields. ZML, Band 29 (1983), 465-480. Paper presented at the International Logic Colloquium at Marseille, July 1981. Zbl0531.03017
  3. [DW2] Dahn, B.I. and H. Wolter, Ordered fields with several exponential functions. To appear in ZML. Preprint 42 (1982) der Sekt. Math. der Humboldt-Universität zu Berlin. Zbl0504.12024
  4. [Dr] van den Dries, L., Exponential rings, exponential polynomials and exponential functions. Preprint of the Department of Mathematics, Stanford University, December 1981. Zbl0603.13019
  5. [HR] Henson, C.W. and L.A. Rubel, Some applications of Nevanlinna theory to mathematical logic : Identities of exponential functions. Preprint. 
  6. [M] Macintyre, A., The laws of exponentiation. Preprint. Zbl0503.08008
  7. [R] Richardson, D., Solution of the identity problem for integral exponential functions. ZML, Band 15 (1969), 333-340. Zbl0188.32802MR41 #6678
  8. [Sh] Shoenfield, J.R., Mathematical Logic. Addison-Wesley, Reading, Mass. 1967. Zbl0155.01102
  9. [Wi] Wilkie, A.J., On the exponential fields. Preprint. 
  10. [Wo] Wolter, H., On the 'Problem of the last root' for exponential terms. To appear in ZML. Preprint 58 (1983) der Sekt. Math. der Humboldt-Universität zu Berlin. Zbl0528.03018

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