Please use this identifier to cite or link to this item: http://hdl.handle.net/1959.14/20134
26 Visitors
28 Hits
0 Downloads
- Title
- Character sums with exponential functions over smooth numbers
- Related
- Indagationes mathematicae, Vol. 17, Issue 2, p.157-168
- DOI
- 10.1016/S0019-3577(06)80013-3
- Publisher
- Elsevier
- Date
- 2006
- Author/Creator
- Banks, William D
- Author/Creator
- Friedlander, John B
- Author/Creator
- Garaev, Moubariz Z
- Author/Creator
- Shparlinski, Igor E
- Description
- We give nontrivial bounds in various ranges for exponential sums of the form [equation omitted for formatting reasons] and [equation omitted for formatting reasons] where m ≥ 2, ϑ is an element of order t in the multiplicative group Z*m, gcd(a, m) = 1, S(x, y) is the set of y-smooth integers n ≤ x, and St (x, y) is the subset of S (x, y) consisting of integers that are coprime to t. We obtain sharper bounds in the special case that m = q is a prime number.
- Description
- 12 page(s)
- Resource Type
- journal article
- Organisation
- Macquarie University. Dept. of Computing
- Identifier
- http://hdl.handle.net/1959.14/20134
- Identifier
- ISSN:0019-3577
- Identifier
- mq-rm-2006003627
- Language
- eng
- Reviewed
