Oesterlé-Masser Conjecture/Historical Note

Historical Note on Oesterlé-Masser Conjecture

The Oesterlé-Masser Conjecture was first proposed by David William Masser in $1985$ and Joseph Oesterlé in $1988$.

In $2012$, Shinichi Mochizuki published a series of papers which claimed to have proved it.

However, there is perceived to be a gap in this proof.

Despite the misgivings of a number of mathematicians, it was announced on $3$rd April $2020$ that Mochizuki's proof would be published in a journal of which Mochizuki himself is the chief editor.

In the face of all this, it is still generally recognised in the mathematical community that the Oesterlé-Masser Conjecture remains unproven.

Sources

• 1985: D.W. Masser: Open problems (Proceedings of the Symposium on Analytic Number Theory ) (edited by W.W.L. Chen)
• 1988: Joseph Oesterlé: Nouvelles approches du "théorème" de Fermat", Séminaire Bourbaki exp 694 (Astérisque Vol. 161: pp. 165 – 186)