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Mean values of character sums III

Part of: Exponential sums and character sums

Published online by Cambridge University Press:  26 February 2010

D. A. Burgess
D. A. Burgess
Affiliation:
Department of Mathematics, The University, Nottingham NG7 2RD.
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Extract

Let r, k, h be positive integers. For any Dirichlet character χ modulo k write

MSC classification

Secondary: 11L40: Estimates on character sums
Type
Research Article
Information
Mathematika , Volume 42 , Issue 1 , June 1995 , pp. 133 - 136
Copyright
Copyright © University College London 1995

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References

1.Burgess, D. A.. On character sums and primitive roots. Proc. London Math. Soc. (3), 12 (1962), 179–192.Google Scholar
2.Burgess, D. A.. On character sums and L-series. Proc. London Math. Soc. (3), 12 (1962), 193–206.Google Scholar
3.Burgess, D. A.. On character sums and L-series. II. Proc. London Math. Soc. (3), 13 (1963), 524–536.CrossRefGoogle Scholar
4.Burgess, D. A.. Mean values of character sums. Mathematika, 33 (1986), 1–5.CrossRefGoogle Scholar
5.Burgess, D. A.. Mean values of character sums. II. Mathematika, 34 (1987), 1–7.CrossRefGoogle Scholar
6.Burgess, D. A.. On a set of congruences related to character sums. III. J. London Math. Soc. (2), 45 (1992), 201–214.CrossRefGoogle Scholar