Although the theory of Padé approximants which he had developed in his thesis, and in many later papers, was not quick to be taken up by many other mathematicians, it did become well known after Borel presented Padé approximants in his 1901 book on divergent series. Padé had made other significant contributions, however, such as publishing an elementary algebra book and translating Klein 's Erlangen programme from German into French.
Kahit na ang mga teorya ng Padé approximants na kung saan binuo niya sa kanyang sanaysay, at sa maraming mamaya mga papeles, ay hindi mabilis na kinuha up sa pamamagitan ng maraming iba pang mga mathematicians, ito ay maging mahusay na kilala matapos Borel ipinapahayag Padé approximants sa kanyang 1901 na libro sa iba serye. Padé nagkaroon na ginawa ng iba pang makabuluhang kontribusyon, gayunpaman, tulad ng sa paglalathala ng isang elementary algebra libro at pagsasalin Klein 's Erlangen programa mula sa German sa French.