Partial methods are methods defined in a partial class that are (optionally) divided across two files. With partial methods one file contains the method signature - the method name, its return type, and its input parameters - while the body is (optionally) defined in a separate file. If the partial method's body is not defined then the compiler automatically removes the partial method signature and all calls to the method at compile-time. Compare with partial classes.
See "An Overview of Partial Classes and Partial Methods" on ASP.NET.4GuysFromRolla.com.