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One way to tackle the problem is with the idea of analytic continuation in complex analysis.

The analytic continuation of a function can define values for a function outside of the area where its infinite series definition converges.

We can say 1+2+3…=-1/12 by retrofitting the analytic continuation of a function to its original infinite series definition, a move that should come with a Lucille Bluth-style wink.

Analytic continuation Lucille says, "I'm going to stick an equals sign between the value of the analytic continuation of a function at a point and the infinite series that defines the function elsewhere."

The function is called the analytic continuation of .