--- In

primenumbers@yahoogroups.com,

"WarrenS" <warren.wds@...> wrote:

> > The actual history is both more complex and more

> > interesting than Warren's mistaken attribution.

>

> I have reason to believe, but unconfirmed since I do not

> have access to these papers, that one or both of the

> following papers by Mordell do do the job:

> Cambridge Philos Soc Proc 21(1922) 179-192.

> Quart J Pure Appl Math 45 (1914) 170-186.

I not have read either of those. I have, however, read

L. J. Mordell,

On the Integer Solutions of the Equation,

e*y^2 = a*x^3+b*x^2+c*x+d,

Proc. London Math. Soc. s2-21(1) (1923) 415-419

doi:10.1112/plms/s2-21.1.415

where Mordell concedes that this problem

was solved by Thue in 1909, with a result very

different from Mordell's false claim of 1913.

In Cassel's obituary of Mordell:

Louis Joel Mordell, 1888-1972,

by J. W. S. Cassels, in

Biographical Memoirs of Fellows of the Royal Society,

Vol. 19 (Dec., 1973), pp. 493-520.

there is mention of an earlier retraction, circa 1919-1920:

>> In a paper which was little noticed at the time Thue

had already shown that the equation (2.7) has only

finitely many integral solutions for any cubic form

(or more generally, for any other than a power of a

binary quadratic). If Mordell had known of this theorem,

he would have deduced at once that y^2 = x^3+ k has

only finitely many integral solutions x,y; at least with

x prime to 2k. As a matter of fact he only learned

of Thue's result later (paper 15) and at the time

he believed that there could be infinitely many solutions

for some k (cf. end of paper 2).<<

"Paper 15" seems to be:

L J Mordell,

A statement by Fermat,

Proc. Lond. Math. Soc., (2) 18 (1920) v.

The index for that volume indicates that this paper

was read in 1919, but not printed in the journal.

So 1919 is the earliest date for a retraction, by Mordell,

of his false claim of 1913, that I seen cited.

David