Journal of the
Korean Mathematical Society JKMS

A geometric construction of an exact algebraic formula for graded partition functions, of which a special one is the classical unrestricted partition function $p(n),$ from a diophantine point of view is presented. Moreover, the involved process allows us to compute the values of a graded partition function in an inductive manner with a geometrically built-in self-error-checking ability at each step for correctness of the computed values of the partition function under consideration.

Keywords: complete intersections, computation of partition functions

MSC numbers: 11P81, 14M10, 14N10