Geodesic
Double character sums with intervals and arbitrary sets
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Harmonic analysis, approximation theory, and number theory, Tome 303 (2018), pp. 258-278

Voir la notice de l'article provenant de la source Math-Net.Ru

We obtain a new bound on certain double sums of multiplicative characters which improves several previous results. This improvement comes from new bounds on the number of collinear triples in finite fields, which is a classical object of study in additive combinatorics.
Keywords: finite field, character sums, collinear triples, multiplicative energy. 
@article{TM_2018_303_a18,
     author = {I. D. Shkredov and I. E. Shparlinski},
     title = {Double character sums with intervals and arbitrary sets},
     journal = {Trudy Matematicheskogo Instituta imeni V.A. Steklova},
     pages = {258--278},
     publisher = {mathdoc},
     volume = {303},
     year = {2018},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TM_2018_303_a18/}
}
TY  - JOUR
AU  - I. D. Shkredov
AU  - I. E. Shparlinski
TI  - Double character sums with intervals and arbitrary sets
JO  - Trudy Matematicheskogo Instituta imeni V.A. Steklova
PY  - 2018
SP  - 258
EP  - 278
VL  - 303
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/TM_2018_303_a18/
LA  - ru
ID  - TM_2018_303_a18
ER  - 
%0 Journal Article
%A I. D. Shkredov
%A I. E. Shparlinski
%T Double character sums with intervals and arbitrary sets
%J Trudy Matematicheskogo Instituta imeni V.A. Steklova
%D 2018
%P 258-278
%V 303
%I mathdoc
%U http://geodesic.mathdoc.fr/item/TM_2018_303_a18/
%G ru
%F TM_2018_303_a18
I. D. Shkredov; I. E. Shparlinski. Double character sums with intervals and arbitrary sets. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Harmonic analysis, approximation theory, and number theory, Tome 303 (2018), pp. 258-278. http://geodesic.mathdoc.fr/item/TM_2018_303_a18/