Estimates for complete exponential sums of special types

Mathematical Proceedings of the Cambridge Philosophical Society

Volumn 131, Issue 2, 2001, Pages 321-326

  Yu, Hong Bing ^a  

^a UNIVERSITY OF SCIENCE AND TECHNOLOGY OF CHINA   (China)

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Indexed keywords

EID: 23044529540     PISSN: 03050041     EISSN: None     Source Type: Journal    
DOI: 10.1017/s030500410100528x     Document Type: Article

References (9)

1. N. M. AKULINICEV. Bounds for rational trigonometric sums of a special type (Russian). Dokl. Akad. Nauk SSSR 161 (1905), 743-745;
2. Soviet Math. Dokl. 6 (1965), 480-482.
3. D. R. HEATH-BROWN. An estimate for Heilbronn's exponential sum. In Analytic Number Theory: Proceedings of a conference in honor of Heini Halberstam (Birkhäuser, 1990), 451-463.
4. D. R. HEATH-BROWN and S. KONYAGIN. New bounds for Gauss sums derived from k-th powers, and for Heilbronn's exponential sum. Quart. J. Math. 51 (2000), 221-235.
5. R. LIDL and H. NIEDERREITER. Finite Fields. Encyclopedia Math. Appl., vol. 20 (Cambridge University Press, 1997).
6. L. J. MORDELL. On a sum analogous to Gauss's sum. Quart. J. Math. 3 (1932), 161-167.
7. R. W. K. ODONI. Trigonometric sums of Heilbronn's type. Math. Proc. Camb. Phil. Soc. 98 (1985), 389-396.
8. W. M. SCHMIDT. Equations over Finite Fields: An Elementary Approach. Lecture Notes in Math., vol. 536 (Springer-Verlag, 1976).
9. H. B. YU. Note on Heath-Brown's estimate for Heilbronn's exponential sum. Proc. Amer. Math. Soc. 127 (1998), 1995-1998.