Nokia does require some specific tests for items embedded on Nokia devices but generally Symbian Signed and Java Verified is what most people need to be concerned about.
As it says on the testing page, "Testing is one the most important phases of the application development process. Generally, testing includes module testing, system testing, usability testing, and finally testing and certification via such commonly known and industry-wide testing programs as Symbian Signed and Java Verified™. All mobile applications offered through Nokia sales channels must be certified through either Java Verified or Symbian Signed. Forum Nokia supports these programs and participates in developing and improving them to serve developers even better."