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Exponential sums and rational points on complete intersections

Published online by Cambridge University Press:  26 February 2010

Igor E. Shparlinskiĭ  and
Alexei N. Skorobogatov
Igor E. Shparlinskiĭ
Affiliation:
2V-41, Mosfilmovskaya Ul., Moscow 1192851, USSR.
Alexei N. Skorobogatov
Affiliation:
Institute for Problems of Information Transmission, Academy of Sciences of the USSR, 19 Ermolovoy ul., Moscow 101447, USSR.
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Extract

Nous estimons le module des sommes trigonométriques sur la variété de dimension n – s definie par s formes en n variables, avec une forme linéaire en exposant. Cela s'applique a l'étude de la distribution des points rationnels d'une telle variété definie sur un corps fini ou sur le corps des nombres rationnels.

Type
Research Article
Information
Mathematika , Volume 37 , Issue 2 , December 1990 , pp. 201 - 208
Copyright
Copyright © University College London 1990

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