Monatshefte für Mathematik

, Volume 135, Issue 1, pp 69–81

On the Primitive Circle Problem


  • Jie Wu
    • Université Henri Poincaré, Nancy, France

DOI: 10.1007/s006050200006

Cite this article as:
Wu, J. Mh Math (2002) 135: 69. doi:10.1007/s006050200006


 We prove that under the Riemann hypothesis one has for any ɛ > 0, This improves a result of Zhai and Cao, which requires 11/30 in place of 221/608.

2000 Mathematics Subject Classification: 11L07 11N37
Key words: Exponential sums primitive circle problem

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© Springer-Verlag Wien 2002