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Talk:abc conjecture

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Our article currently writes "The abc conjecture originated as the outcome of attempts by Oesterlé and Masser to understand the Szpiro conjecture about elliptic curves", with no mention at that point of the Mason–Stothers theorem, which is mentioned only briefly much later as an "analogue" of the same result. However, the Mason–Stothers theorem came first, and my understanding was that it provided some of the motivation for the formulation of the abc conjecture. For instance, in "Undergraduate Algebra" Lange writes that the formulation of abc involved "evolving from the insights of Mason, Stothers, ... and others", and Baker "A Comprehensive Course in Number Theory" writes "Masser was influenced by a theorem which Mason had obtained". Shouldn't we say something about that connection, a little more prominently? —David Eppstein (talk) 21:12, 19 March 2018 (UTC)[reply]

This was added "But Mochizuki argued their opinion in his report." Shouldn't this be "But Mochizuki argued against their opinion in his report"? Bubba73 ^{You talkin' to me?} 17:07, 27 September 2018 (UTC)[reply]

It shouldn't exist at all. XOR'easter (talk) 18:29, 27 September 2018 (UTC)[reply]

This part

"On April 3, 2020, two Japanese mathematicians announced that Mochizuki's claimed proof would be published in Publications of the Research Institute for Mathematical Sciences (RIMS)"

has to be replaced.

It is now published as a special issue:

https://ems.press/journals/prims/issues/1507 — Preceding unsigned comment added by 158.248.76.166 (talk) 19:19, 14 March 2021 (UTC)[reply]

Maniapoto Jackie Newton 122.58.0.183 (talk) 20:16, 2 July 2022 (UTC)[reply]

"A number of famous conjectures and theorems in number theory would follow immediately from the abc conjecture or its versions." Is this correct? Will conjectures also follow, or only theorems and proofs of conjectures? 2600:6C67:1C00:5F7E:6DF1:CD52:7E5F:D359 (talk) 15:43, 9 July 2022 (UTC)[reply]

A proof of the abc-conjecture would imply the truth of various other well known conjectures. Generisches Maskulinum (talk) 11:31, 1 December 2023 (UTC)[reply]

There are other mathematical theorems related to the subject of value that are not mentioned in the entry. Some of them will be able to be proven if the abc-conjecture will proven. And some with other types of relationships. You can find more topics to put into the entry in the category:abc-conjecture . ינון גלעדי (talk) 22:48, 6 June 2024 (UTC)[reply]