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ArticleOriginal scientific text

Title

On the sums Sχ(m)

Authors 1

Affiliations

  1. Departamento de Matemáticas, Facultad de Ciencias, Universidad del País Vasco, Apartado 644, 48080 Bilbao, Spain

Bibliography

  1. T. M. Apostol, Introduction to Analytic Number Theory, Springer, New York, 1976.
  2. D. A. Burgess, On character sums and L-series II, Proc. London Math. Soc. 13 (1963), 524-536.
  3. D. A. Burgess, Estimating Lχ(1), Norske Vid. Selsk. Forh. 39 (1966), 101-108.
  4. A. Hildebrand, On the constant in the Pólya-Vinogradov inequality, Canad. Math. Bull. 31 (3) (1988), 347-352.
  5. H. Montgomery, Distribution questions concerning a character sum, in: Colloq. Math. Soc. János Bolyai 13, North-Holland, 1974, 195-203.
  6. H. Montgomery and R. C. Vaughan, Exponential sums with multiplicative coefficients, Invent. Math. 43 (1977), 69-82.
  7. J. Pintz, Elementary methods in the theory of the L-functions VII, Acta Arith. 32 (1977), 397-406.
  8. G. Pólya, Über die Verteilung der quadratischen Reste und Nichtreste, Nachr. Königl. Gesell. Wiss. Göttingen Math.-Phys. Kl. 1918, 21-29.
  9. P. J. Stephens, Optimizing the size of L(χ,1), Proc. London Math. Soc. 24 (1972), 1-14.
  10. M. Toyoizumi, On certain character sums, Acta Arith. 55 (1990), 229-232.
  11. K. S. Williams, A class of character sums, J. London Math. Soc. 46 (1971), 67-72.
Acta Arithmetica
1995/69/1
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Pages:
11-19
Main language of publication
English
Received
1993-03-23
Accepted
1994-06-20
Published
1995
Exact and natural sciences