Geodesic
Multiplicative Energy of Shifted Subgroups and Bounds On Exponential Sums with Trinomials in Finite Fields
Canadian journal of mathematics, Tome 70 (2018) no. 6, pp. 1319-1338

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DOI

We prove a new bound on collinear triples in subgroups of prime finite fields and use it to give some new bounds on exponential sums with trinomials.
DOI : 10.4153/CJM-2017-044-2
Mots-clés : 11L07, 11T23, exponential sum, sparse polynomial, trinomial 
Macourt, Simon; Shkredov, Ilya D.; Shparlinski, Igor E. Multiplicative Energy of Shifted Subgroups and Bounds On Exponential Sums with Trinomials in Finite Fields. Canadian journal of mathematics, Tome 70 (2018) no. 6, pp. 1319-1338. doi: 10.4153/CJM-2017-044-2
@article{10_4153_CJM_2017_044_2,
     author = {Macourt, Simon and Shkredov, Ilya D. and Shparlinski, Igor E.},
     title = {Multiplicative {Energy} of {Shifted} {Subgroups} and {Bounds} {On} {Exponential} {Sums} with {Trinomials} in {Finite} {Fields}},
     journal = {Canadian journal of mathematics},
     pages = {1319--1338},
     year = {2018},
     volume = {70},
     number = {6},
     doi = {10.4153/CJM-2017-044-2},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CJM-2017-044-2/}
}
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