J. W. S. Cassels, A note on the division values of ℘(u).

Monsieur Y. Hellegouarch has pointed out to me that the inequality (131) of my paper “A note on the division values of ℘ (u)” (Proc. Cambridge Phil. Soc.45 (1949), 169–172) does not follow from the argument hinted there and is almost certainly incorrect. All the argument shows is that the rather weaker estimate in (132) holds for m = pk as well as for m = 2pk.

The erroneous claim is reproduced in my report “Diophantine equations with special reference to elliptic curves” (J. London Math. Soc.41 (1966), 193–291) in expression (17.14) on page 247.