His name is not only attached to Arf invariants but he is also remembered for the Hasse -Arf Theorem which plays an important role in class field theory and in Artin's theory of L-functions.
Kanyang pangalan ay hindi lamang ang nakalakip sa Arf invariants ngunit siya rin ay para sa remembered ang Hasse-Arf teorama plays na kung saan isang mahalagang papel sa klase patlang na teorya at sa Artin ng teorya ng L-function.