| 1794 | Extremal Values of Constant | Deep | Diophantine equationsProof | |
| 1797 | Scaling a continued fraction | Deep | continued fractionstransformations | |
| 1798 | Convergents of the square root of a sum | Deep | continued fractionsconvergents | |
| 1799 | Relation among periodic continued fractions | Deep | continued fractionsalgebraic identity | |
| 1802 | Sum of Convergents for Square Root | Deep | continued fractionsconvergents | |
| 1803 | Product of Infinite Continued Fractions | Deep | continued fractionsinfinite fractions | |
| 1806 | Convergents at Period Lengths | Deep | continued fractionsquadratic surds+1 | |
| 1807 | Periodicity of Surd Convergents | Deep | continued fractionsrecurring continued fractions+1 | |