, Volume 74, Issue 6, pp 423-431

A bound for the least Gaussian prime $\omega $ with $\alpha <\arg (\omega ) < \beta$

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Abstract.

We give an explicit function \(B(\theta )\) such that there is a Gaussian prime \(\omega \) with \(\omega \overline {\omega } < B(\beta -\alpha )\) and \(\alpha < \arg (\omega ) < \beta \) .

Received: 11.1.1999