Stepanov's method applied to binomial exponential sums

Quarterly Journal of Mathematics

Volumn 54, Issue 3, 2003, Pages 243-255

  Cochrane, Todd ^a   Pinner, Christopher ^a  

^a KANSAS STATE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0142025622     PISSN: 00335606     EISSN: None     Source Type: Journal    
DOI: 10.1093/qmath/hag020     Document Type: Article

References (12)

1. N. M. Akulinichev, Estimates for rational trigonometric sums of a special type, Doklady Acad. Sci. USSR 161 (1965), 743-745. English trans. Soviet Math. Doklady 161 (1965), 480-482.
2. N. M. Akulinichev, Estimates for rational trigonometric sums of a special type, Doklady Acad. Sci. USSR 161 (1965), 743-745. English trans. Soviet Math. Doklady 161 (1965), 480-482.
3. T. Cochrane and C. Pinner, An improved Mordell type bound for exponential sums, Proc. Amer. Math. Soc. to appear.
4. T. Cochrane, C. Pinner and J. Rosenhouse, Bounds on exponential sums and the polynomial Waring's problem mod p, J. London Math. Soc. to appear.
5. T. Cochrane, C. Pinner and J. Rosenhouse, Sparse polynomial exponential sums, Acta. Arith. to appear.
6. D. R. Heath-Brown and S. Konyagin, New bounds for Gauss sums derived from kth powers, and for Heilbronn's exponential sum, Quart. J. Math. 51 (2000), 221-235.
7. A. A. Karatsuba, On estimates of complete trigonometric sums, Mat. Zametki. 1 (1967), 199-208 (Russian); trans. Math. Notes 1 (1968), 133-139.
8. A. A. Karatsuba, On estimates of complete trigonometric sums, Mat. Zametki. 1 (1967), 199-208 (Russian); trans. Math. Notes 1 (1968), 133-139.
9. L. J. Mordell, On a sum analagous to a Gauss's sum, Quart. J. Math. 3 (1932), 161-167.
10. G. I. Perel'muter, Estimate of a sum along an algebraic curve, Mat. Zametki 5 (1969), 373-380 (Russian).
11. A. Weil, On some exponential sums, Proc. Natl Acad. Sci. USA 34 (1948), 204-207.
12. H. Yu, Estimates for complete exponential sums of special types, Math. Proc. Camb. Phil. Soc. 131 (2001), 321-326.