Sums of Legendre symbols of polynomials of second degree over prime numbers
Izvestiya. Mathematics , Tome 12 (1978) no. 2, pp. 299-308
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Estimates are obtained for sums of Legendre symbols of a quadratic polynomial over prime numbers, these being nontrivial when the number of summands is greater than the three-fourths power of the modulus.
Bibliography: 6 titles.
@article{IM2_1978_12_2_a6,
author = {A. A. Karatsuba},
title = {Sums of {Legendre} symbols of polynomials of second degree over prime numbers},
journal = {Izvestiya. Mathematics },
pages = {299--308},
publisher = {mathdoc},
volume = {12},
number = {2},
year = {1978},
language = {en},
url = {http://geodesic.mathdoc.fr/item/IM2_1978_12_2_a6/}
}
A. A. Karatsuba. Sums of Legendre symbols of polynomials of second degree over prime numbers. Izvestiya. Mathematics , Tome 12 (1978) no. 2, pp. 299-308. http://geodesic.mathdoc.fr/item/IM2_1978_12_2_a6/