Monatshefte für Mathematik

, Volume 106, Issue 1, pp 57–63 | Cite as

Primitive lattice points in rational ellipses and related arithmetic functions

  • Werner Georg Nowak
Article

Abstract

Assuming the Riemann Hypothesis to be true, an asymptotic with a sharp error term is established for the number of primitive lattice points inside a rational ellipseau2+buv+cv2x (a, b, c integers,b2−4ac<0). A generalization of the result is given applying (as an example) to counting functions of Pythagorean triangles.

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Copyright information

© Springer-Verlag 1988

Authors and Affiliations

  • Werner Georg Nowak
    • 1
  1. 1.Institut für MathematikUniversität für BodenkulturWienAustria

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