1. INTRODUCTION

2. CATALOG OF QUASAR AND LYMAN $\alpha$ TRACERS  
2.1. Tracer and background quasar spectra  
2.2. Quasar redshifts  
2.3. Forest selection and residual calibration  
2.4. The flux-transmission field $\delta_{q}(\lambda)$  

3. MEASUREMENT OF THE AUTO- AND CROSS-CORRELATIONS  
3.1. From redshifts and angles to distances  
3.3. The Ly $\alpha$ -quasar cross-correlation  
3.4. The cross-covariance between the correlations  
3.5. The distortion-matrices  

4. MODEL OF THE CORRELATIONS  
4.1. The power spectra  
4.2. Ly $\alpha$ and quasar bias parameters  
4.3. Absorption by metals  
4.4. Proximity effect of quasars on Ly $\alpha$ absorption  
4.5. Correlations due to sky subtraction  
4.6. Power-law correlations  
4.7. The distorted model  

5. VALIDATION OF THE ANALYSIS WITH MOCKS  
5.1. Gaussian random field simulations  
5.2. Simulating eBOSS spectra  
5.3. Comparison of mocks and data  
5.4. Analysis of BAO in the mocks  

6. FITS TO THE DATA  
6.1. The correlation functions  
6.2. Measurement of the BAO parameters  

7. COMPARISON WITH PREVIOUS LYMAN $\alpha$ BAO STUDIES  

8. SUMMARY AND CONCLUSIONS