Michael Drmota, Vienna University of Technology, Austria.Clemens Mullner, Vienna University of Technology, Austria.Lukas Spiegelhofer, Montanuniversitat Leoben, Austria.

• Preface1. Introduction2. Plan of the Proofs3. Exponential Sums and Uniform Distribution4. Detection of Zeckendorf digits5. Gowers norms6. The level of distribution of $\mathsf {z}$7. Type II sums8. Local limit theorem9. Extensions and open problems

Michael Drmota, Vienna University of Technology, Austria.Clemens Mullner, Vienna University of Technology, Austria.Lukas Spiegelhofer, Montanuniversitat Leoben, Austria.

• Preface1. Introduction2. Plan of the Proofs3. Exponential Sums and Uniform Distribution4. Detection of Zeckendorf digits5. Gowers norms6. The level of distribution of $\mathsf {z}$7. Type II sums8. Local limit theorem9. Extensions and open problems

Michael Drmota, Vienna University of Technology, Austria.Clemens Mullner, Vienna University of Technology, Austria.Lukas Spiegelhofer, Montanuniversitat Leoben, Austria.

• Preface1. Introduction2. Plan of the Proofs3. Exponential Sums and Uniform Distribution4. Detection of Zeckendorf digits5. Gowers norms6. The level of distribution of $\mathsf {z}$7. Type II sums8. Local limit theorem9. Extensions and open problems