11. Among the population of all sudoku grids, those that are automorphic are rare. 12. As a second application of this work, he was able to show holomorphic automorphic forms. 13. This book applied the adelic Shimura varieties are among the-functions arising from automorphic forms. 14. 25 is a centered octagonal number, a centered square number, and an automorphic number. 15. However, Ramanujan discovered that the L-functions of automorphic forms would satisfy the modified relation 16. His main contribution and impact was in the area of automorphic forms and L-functions. 17. As a consequence of this, 5 is in base 10 a 1-automorphic number. 18. This fact makes the ad�le groups very effective as tools in the theory of automorphic forms. 19. Automorphic numbers are radix dependent, and the description above applies to automorphic numbers in base 10.20. Automorphic numbers are radix dependent, and the description above applies to automorphic numbers in base 10.