Geodesic
Character Sums Over Bohr Sets
Canadian mathematical bulletin, Tome 58 (2015) no. 4, pp. 774-786

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DOI

We prove character sum estimates for additive Bohr subsets modulo a prime. These estimates are analogous to the classical character sum bounds of Pólya–Vinogradov and Burgess. These estimates are applied to obtain results on recurrence $\bmod \,p$ by special elements.
DOI : 10.4153/CMB-2015-036-2
Mots-clés : 11L40, 11T24, 11T23, character sums, Bohr sets, finite fields 
Hanson, Brandon. Character Sums Over Bohr Sets. Canadian mathematical bulletin, Tome 58 (2015) no. 4, pp. 774-786. doi: 10.4153/CMB-2015-036-2
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     author = {Hanson, Brandon},
     title = {Character {Sums} {Over} {Bohr} {Sets}},
     journal = {Canadian mathematical bulletin},
     pages = {774--786},
     year = {2015},
     volume = {58},
     number = {4},
     doi = {10.4153/CMB-2015-036-2},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2015-036-2/}
}
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