# On characters of order p (mod p²)

Acta Arithmetica (1999)

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

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top## How to cite

topLeo 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

top- [1] R. C. Baker, Diophantine Inequalities, Clarendon Press, Oxford, 1986. Zbl0592.10029
- [2] D. A. Burgess, On character sums and primitive roots, Proc. London Math. Soc. (2) 12 (1962), 179-192. Zbl0106.04003
- [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
- [5] H. L. Montgomery and R. C. Vaughan, Exponential sums with multiplicative coefficients, Invent. Math. 43 (1977), 69-82. Zbl0362.10036
- [6] R. Odoni, On Gauss sums $\left(mod{p}^{n}\right)$, n ≥ 2, Bull. London Math. Soc. 5 (1973), 325-327. Zbl0269.10020
- [7] R. E. A. C. Paley, A theorem on characters, J. London Math. Soc. 7 (1932), 28-32. Zbl0003.34101

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