Character Sums to Smooth Moduli are Small
Canadian journal of mathematics, Tome 62 (2010) no. 5, pp. 1099-1115
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Recently, Granville and Soundararajan have made fundamental breakthroughs in the study of character sums. Building on their work and using estimates on short character sums developed by Graham–Ringrose and Iwaniec, we improve the Pólya–Vinogradov inequality for characters with smooth conductor.
Goldmakher, Leo. Character Sums to Smooth Moduli are Small. Canadian journal of mathematics, Tome 62 (2010) no. 5, pp. 1099-1115. doi: 10.4153/CJM-2010-047-9
@article{10_4153_CJM_2010_047_9,
author = {Goldmakher, Leo},
title = {Character {Sums} to {Smooth} {Moduli} are {Small}},
journal = {Canadian journal of mathematics},
pages = {1099--1115},
year = {2010},
volume = {62},
number = {5},
doi = {10.4153/CJM-2010-047-9},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CJM-2010-047-9/}
}
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