Nonslice linear combinations of iterated torus knots

In 1976, Rudolph asked whether algebraic knots are linearly independent in the knot concordance group. This paper uses twisted Blanchfield pairings to answer this question in the affirmative for new large families of algebraic knots.
Comment: 24 pages, 3 figures. v2: Theorem 1.1 is now substantially strengthened and its proof is simplified. v3: minor changes in the introduction