Geodesic
Sums of multiplicative characters with additive convolutions
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Analytic and combinatorial number theory, Tome 296 (2017), pp. 265-279

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We obtain new estimates for binary and ternary sums of multiplicative characters with additive convolutions of characteristic functions of sets with small additive doubling. In particular, we improve a result of Mei-Chu Chang. The proof uses the Croot–Sisask almost periodicity lemma. 
@article{TM_2017_296_a20,
     author = {A. S. Volostnov and I. D. Shkredov},
     title = {Sums of multiplicative characters with additive convolutions},
     journal = {Trudy Matematicheskogo Instituta imeni V.A. Steklova},
     pages = {265--279},
     publisher = {mathdoc},
     volume = {296},
     year = {2017},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TM_2017_296_a20/}
}
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A. S. Volostnov; I. D. Shkredov. Sums of multiplicative characters with additive convolutions. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Analytic and combinatorial number theory, Tome 296 (2017), pp. 265-279. http://geodesic.mathdoc.fr/item/TM_2017_296_a20/