| Author | Year | Method |
|---|---|---|
| 1. Jacobi | 1837 | Gauss sums |
| 2. Eisenstein | 1844 | Gauss sums |
| 3. Eisenstein | 1844 | Gauss and Jacobi sums |
| 4. Eisenstein | 1845 | lemniscatomy |
| 5. Eisenstein | 1846 | lemniscatomy |
| 6. Eisenstein | 1846 | Elliptic Functions |
| 7. Nasimoff | 1885 | Elliptic Functions |
| 8. Busche | 1886 | Geometric |
| 9. Smith | 1894 | Eisenstein |
| 10. Lietzmann | 1904 | Hilbert |
| 11. Bohnicek | 1904 | Hilbert |
| 12. Mertens | 1904 | Theta Functions |
| 13. Bohnicek | 1906 | Hilbert |
| 14. Busche | 1912 | Geometric |
| 15. Petr | 1930 | Eisenstein |
| 16. Kubota | 1961 | Elliptic Functions |
| 17. Kubota | 1963 | Elliptic Functions |
| 18. Kubota | 1964 | Elliptic Functions |
| 19. Shiratani | 1967 | Elliptic Functions |
| 20. Kaplan | 1969 | Congruences |
| 21. Watabe | 1979 | Elliptic Functions |
| 22. Spies | 1983 | Geometric |
| 23. Watanabe, Miyagawa, Higuchi | 1996 | Elliptic Functions |
| 24. Hiramatsu | 1998 | Elliptic Functions |
| 25. Stalker | 1998 | Elliptic Functions |
| Author | Year | Method |
|---|---|---|
| 1. Eisenstein | 1844 | Gauss and Jacobi sums |
| 2. Eisenstein | 1846 | Reciprocity Law |
| 3. Stieltjes | 1882 | Cyclotomy |
| 4. Busche | 1886 | Geometric |
| 5. Dintzl | 1899 | Reciprocity Law |
| 6. Busche | 1912 | Geometric |
| 7. Herglotz | 1921 | Elliptic Functions |
| 8. Shiratani | 1973 | Elliptic Functions |
| 9. Williams | 1975 | Elementary |