Gitterpunkte in Lemniskatenscheiben
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Let G (R) denote the number of lattice points (ξ,η)ε **Z2 in the domain B(R) bounded by the lemniscate (x2+y2)2=2R2 (x2−y2) and put P(R)=G(R)-R2(R2 being the area of B(R)). The purpose of this paper is to determine the order of magnitude of P(R) for large R by proving the asymptotic relation (3). An analogous result is given for the “eight curve” x4=R2 (x2−y2).
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