Character sums over integers with restricted $g$-ary digits
Banks, William D. ; Conflitti, Alessandro ; Shparlinski, Igor E.
Illinois J. Math., Tome 46 (2002) no. 3, p. 819-836 / Harvested from Project Euclid
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We establish upper bounds for multiplicative character sums and exponential sums over sets of integers that are described by various properties of their digits in a fixed base $g\ge 2$. Our main tools are the Weil and Vinogradov bounds for character sums and exponential sums. Our results can be applied to study the distribution of quadratic non-residues and primitive roots among these sets of integers.
Publié le : 2002-07-15
Classification:  11L07,  11L15,  11L40,  11N64 
@article{1258130986,
     author = {Banks, William D. and Conflitti, Alessandro and Shparlinski, Igor E.},
     title = {Character sums over integers with restricted $g$-ary digits},
     journal = {Illinois J. Math.},
     volume = {46},
     number = {3},
     year = {2002},
     pages = { 819-836},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1258130986}
}

Banks, William D.; Conflitti, Alessandro; Shparlinski, Igor E. Character sums over integers with restricted $g$-ary digits. Illinois J. Math., Tome 46 (2002) no. 3, pp.  819-836. http://gdmltest.u-ga.fr/item/1258130986/