Riemann's Integral Theorem

Associated with an irreducible curve of Genus (Curve) $p$, there are $p$ Linearly Independent integrals of the first sort. The Roots of the integrands are groups of the canonical series, and every such group will give rise to exactly one integral of the first sort.

References

Coolidge, J. L. A Treatise on Algebraic Plane Curves. New York: Dover, p. 274, 1959.