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Stepanov's Method Applied to Binomial Exponential Sums.
- Source :
-
Quarterly Journal of Mathematics . Sep2003, Vol. 54 Issue 3, p243-255. 13p. - Publication Year :
- 2003
-
Abstract
- For a prime p and binomial axk + bxl with 1 ≤ l < k < 1/32(p – 1)2/3, we use Stepanov's method to obtain the bound |Σp−1x=1ep(axk + bxl)| ≪ max {1, lΔ−1/3}1/4 k1/4 p3/4, where Δ = (k – l)/(k, l, p – 1). [ABSTRACT FROM PUBLISHER]
Details
- Language :
- English
- ISSN :
- 00335606
- Volume :
- 54
- Issue :
- 3
- Database :
- Academic Search Index
- Journal :
- Quarterly Journal of Mathematics
- Publication Type :
- Academic Journal
- Accession number :
- 44627028
- Full Text :
- https://doi.org/10.1093/qmath/hag020