A Multiple Exponential Sum to Modulus p 2
Canadian mathematical bulletin, Tome 28 (1985) no. 4, pp. 394-396
Voir la notice de l'article provenant de la source Cambridge University Press
For suitable polynomials f(x) ∊ Z[x] in n variables, of total degree d, it is shown that This is, formally, a precise analogue of a theorem of Deligne [1] on exponential sums (mod p). However the proof uses no more than elementary algebraic geometry.
Heath-Brown, D. R. A Multiple Exponential Sum to Modulus p 2. Canadian mathematical bulletin, Tome 28 (1985) no. 4, pp. 394-396. doi: 10.4153/CMB-1985-046-2
@article{10_4153_CMB_1985_046_2,
author = {Heath-Brown, D. R.},
title = {A {Multiple} {Exponential} {Sum} to {Modulus} p 2},
journal = {Canadian mathematical bulletin},
pages = {394--396},
year = {1985},
volume = {28},
number = {4},
doi = {10.4153/CMB-1985-046-2},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1985-046-2/}
}
[1] 1. Deligne, P., La conjecture de Weil. I. Publications Mathématiques 43, Institue des Hautes Études Scientifiques, Paris, 1974, pp. 273–307. Google Scholar
[2] 2. Shafarevich, I.R., Basic algebraic geometry, Grundlehren der mathematischen Wissenchaften 213, Springer, New York, 1974. Google Scholar
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