Über die Eulersche ...-Funktion in quadratischen Zahlkörpern.
Eine ...-Abschätzung zu einem zweidimensionalen Gitterpunktproblem.
Gitterpunkte in Bereichen xn + ym ... R, x ... 0, y ...0.
Über die Anzahl der Gitterpunkte in verallgemeinerten Kreissektoren.
Primitive Lattice Points in Rational Ellipses and Relates Arithmetic Functions.
On Sums of Two Coprime k-th Powers.
Lattice Points in a Circle and Divisors in Arithmetic Progressions.
Ein dreidimensionales Gitterpunktproblem.
Gitterpunkte in Lemniskatenscheiben.
A Note on Simultaneous Diophantine Approximation.
A two-sides omega-theorem for an asymmetric divisor problem.
Über eine asymptotische Formel von Rieger betreffend die Ford-Speiser-Konfiguration.
Ein Satz zur Behandlung dreidimensionaler Gitterpunktprobleme.
Ein nicht-konvexes Analogon zum mehrdimensionalen Kugelproblem.
A non-convex generalization of the circle problem.
An -estimate for the number of lattice points in a sphere
On the divisor problem: Moments of Δ(x) over short intervals
Lattice points in a circle: An improved mean-square asymptotics
A mean-square bound for the lattice discrepancy of bodies of rotation with flat points on the boundary
Primitive lattice points inside an ellipse
Let be a positive definite binary quadratic form with arbitrary real coefficients. For large real , one may ask for the number of primitive lattice points (integer points with ) in the ellipse disc , in particular, for the remainder term in the asymptotics for . While upper bounds for depend on zero-free regions of the zeta-function, and thus, in most published results, on the Riemann Hypothesis, the present paper deals with a lower estimate. It is proved that the absolute value or...
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