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Character sums with an explicit evaluation

In: Mathematica Slovaca, vol. 67, no. 3
Badria Alsulmi - Vincent Pigno - Christopher Pinner
Detaily:
Rok, strany: 2017, 623 - 630
Kľúčové slová:
character sums, Gauss sums
O článku:
We show that for Dirichlet characters $χ,χ1,…,χs$ mod $pm$ the sum

$$ ∑x1=1pm … ∑xs=1pmχ1(x1)… χs(xs)χ(A1x1 + … + Asxs + Bx1w1… xsws) $$

has a simple evaluation when $m$ is sufficently large, for $m ≥ 2$ if

$$ p\nmid 2A1… AsB(1-w1-… -ws). $$

Ako citovať:
ISO 690:
Alsulmi, B., Pigno, V., Pinner, C. 2017. Character sums with an explicit evaluation. In Mathematica Slovaca, vol. 67, no.3, pp. 623-630. 0139-9918. DOI: https://doi.org/10.1515/ms-2016-0296

APA:
Alsulmi, B., Pigno, V., Pinner, C. (2017). Character sums with an explicit evaluation. Mathematica Slovaca, 67(3), 623-630. 0139-9918. DOI: https://doi.org/10.1515/ms-2016-0296
O vydaní:
Publikované: 27. 6. 2017