Jacobsthal sum

In mathematics, Jacobsthal sums are finite sums of Legendre symbols related to Gauss sums. They were introduced by Template:Harvs.

Definition

The Jacobsthal sum is given by

${\varphi }_n(a)=\sum _{mmodp}\left(\frac{m(m^n+a)}{p}\right)$

where p is prime and () is the Legendre symbol.

References

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Further reading

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