I have had my results for a long time: but I do not yet know how I am to arrive at them.

The total number of Dirichlet's publications is not large: jewels are not weighed on a grocery scale.

You know that I write slowly. This is chiefly because I am never satisfied until I have said as much as possible in a few words, and writing briefly takes far more time than writing at length.

To such idle talk it might further be added: that whenever a certain exclusive occupation is coupled with specific shortcomings, it is likewise almost certainly divorced from certain other shortcomings.

Mathematics is the queen of sciences and number theory is the queen of mathematics. She often condescends to render service to astronomy and other natural sciences, but in all relations she is entitled to the first rank.

Mathematicians stand on each other's shoulders.

I have had my results for a long time: but I do not yet know how I am to arrive at them.