Counting rational points on a certain exponential-algebraic surface

Jonathan Pila[1]

  • [1] University of Bristol School of Mathematics Bristol, BS8 1TW (United Kingdom)

Annales de l’institut Fourier (2010)

  • Volume: 60, Issue: 2, page 489-514
  • ISSN: 0373-0956

Abstract

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We study the distribution of rational points on a certain exponential-algebraic surface and we prove, for this surface, a conjecture of A. J. Wilkie.

How to cite

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Pila, Jonathan. "Counting rational points on a certain exponential-algebraic surface." Annales de l’institut Fourier 60.2 (2010): 489-514. <http://eudml.org/doc/116279>.

@article{Pila2010,
abstract = {We study the distribution of rational points on a certain exponential-algebraic surface and we prove, for this surface, a conjecture of A. J. Wilkie.},
affiliation = {University of Bristol School of Mathematics Bristol, BS8 1TW (United Kingdom)},
author = {Pila, Jonathan},
journal = {Annales de l’institut Fourier},
keywords = {O-minimal structure; rational points; transcendental numbers; exponential-algebraic surface},
language = {eng},
number = {2},
pages = {489-514},
publisher = {Association des Annales de l’institut Fourier},
title = {Counting rational points on a certain exponential-algebraic surface},
url = {http://eudml.org/doc/116279},
volume = {60},
year = {2010},
}

TY - JOUR
AU - Pila, Jonathan
TI - Counting rational points on a certain exponential-algebraic surface
JO - Annales de l’institut Fourier
PY - 2010
PB - Association des Annales de l’institut Fourier
VL - 60
IS - 2
SP - 489
EP - 514
AB - We study the distribution of rational points on a certain exponential-algebraic surface and we prove, for this surface, a conjecture of A. J. Wilkie.
LA - eng
KW - O-minimal structure; rational points; transcendental numbers; exponential-algebraic surface
UR - http://eudml.org/doc/116279
ER -

References

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