On characters of order p (mod p²)

Leo Murata

Acta Arithmetica (1999)

  • Volume: 87, Issue: 3, page 245-253
  • ISSN: 0065-1036

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Leo Murata. "On characters of order p (mod p²)." Acta Arithmetica 87.3 (1999): 245-253. <http://eudml.org/doc/207219>.

@article{LeoMurata1999,
author = {Leo Murata},
journal = {Acta Arithmetica},
keywords = {Gauss sum; residual index; distributional properties; character sums},
language = {eng},
number = {3},
pages = {245-253},
title = {On characters of order p (mod p²)},
url = {http://eudml.org/doc/207219},
volume = {87},
year = {1999},
}

TY - JOUR
AU - Leo Murata
TI - On characters of order p (mod p²)
JO - Acta Arithmetica
PY - 1999
VL - 87
IS - 3
SP - 245
EP - 253
LA - eng
KW - Gauss sum; residual index; distributional properties; character sums
UR - http://eudml.org/doc/207219
ER -

References

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  1. [1] R. C. Baker, Diophantine Inequalities, Clarendon Press, Oxford, 1986. Zbl0592.10029
  2. [2] D. A. Burgess, On character sums and primitive roots, Proc. London Math. Soc. (2) 12 (1962), 179-192. Zbl0106.04003
  3. [4] D. R. Heath-Brown, An estimate for Heilbronn's exponential sum, in: Analytic Number Theory, Progr. Math. 136, Birkhäuser, 1996, 451-463. Zbl0857.11041
  4. [5] H. L. Montgomery and R. C. Vaughan, Exponential sums with multiplicative coefficients, Invent. Math. 43 (1977), 69-82. Zbl0362.10036
  5. [6] R. Odoni, On Gauss sums ( m o d p n ) , n ≥ 2, Bull. London Math. Soc. 5 (1973), 325-327. Zbl0269.10020
  6. [7] R. E. A. C. Paley, A theorem on characters, J. London Math. Soc. 7 (1932), 28-32. Zbl0003.34101

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