I'm afraid the above list of errors and corrections might look a bit negative, so let me add a positive note (which will also save you 30,00 or $42.00 by not having to read it here) : In 1933, van der Waerden asked in the Jahresbericht : Which quadratic fields can be embedded in cyclic quartic fields ? Solutions were provided by four people, among them Hasse, who generalised the problem to : Under which conditions can a degree-$l$($l$prime) cyclic extension$K_1$of a number field$K$be embedded into a degree-$l^n$cyclic extension$K_n$of$K$? A. Scholz sent in a "solution" to this problem in 1935 which essentially claimed that the obstructions are purely local in nature. But Hans Richter, a doctoral student of van der Waerden, knew already that there is an exception when$l=2\$, so a Scholtz-Richter correction to Scholz's paper was required. In a sense, Richter anticipated not only Wang's counterexample to Grunwald's theorem but also its solution, without mentioning it explicitly as such.

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A general existence theorem is proved :

1933 : W. Grunwald, Ein allgemeines Existenztheorem für algebraische Zahlkörper, J. reine angew. Math. 169 (1933), 103–107.

and reproved :

1942: G. Whaples, Non-analytic class field theory and Grünwald's theorem. Duke Math. J. 9, (1942). 455–473.

A counter-example is found :

1948 : S. Wang, A counter-example to Grunwald's theorem, Ann. Math. 49 (1948), 1008–1009.

and the theorem is corrected :

1950 : S. Wang, On Grunwald's theorem, Ann. Math. 51 (1950), 471–484.

twice in the same year :

---- : H. Hasse, Zum Existenzsatz von Grunwald in der Klassenkörpertheorie, J. reine angew. Math. 188 (1950), 40–64.

A quarter of a century later, a simpler proof is given :

1974: J. Neukirch, Eine Bemerkung zum Existenzsatz von Grunwald-Hasse-Wang, J. Reine Angew. Math. 268/269 (1974), 315–317.

but more than half a century later, corrections to the correction corrections are required :

2007 : W-D. Geyer & C. Jensen, Embeddability of quadratic extensions in cyclic extensions. Forum Math. 19 (2007), no. 4, 707–725.

2011 : P. Morton, A correction to Hasse's version of the Grunwald-Hasse-Wang theorem. J. Reine Angew. Math. 659 (2011), 169–174.

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