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    Actually, I doubt there is much chance of this paper being accepted in JAMS given that they already rejected it for not being up to their standard (I am not even sure if they allow resubmission, but I didn't check). Commented Jan 9, 2019 at 13:16
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    I downvoted because of the last paragraph. Many papers in mathematics are rejected upon first submission, resubmitted as is, and then accepted. Moreover your answer misses that where the OP submitted was in the top 0.1% of all math journals, a level of eliteness that doesn't exist in many other academic fields. Being rejected from such a journal says almost nothing about the value of a paper. Commented Jan 9, 2019 at 18:29
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    @Buffy There are no reviews. The paper was submitted to an absolutely top-flight journal. Before even doing full peer-review, they rejected the paper because, even if it's 100% correct, it's not significant enough for this particular journal. There's no basis on which to revise the paper, except perhaps to add the requested comparison. The correct course really is to submit it to a journal at a more appropriate level. Commented Jan 9, 2019 at 22:41
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    @Buffy The asker explicitly says they didn't receive reviews, which is a strong indication that they don't exist. The other answers (which were posted after yours, but well before your reply to Pete Clark's comment) are written by people familiar with the journal and explain the situation, confirming this. And the asker has already commented to say that they don't think the suggested reference is very significant to their paper. Commented Jan 9, 2019 at 22:58
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    @Buffy: I don't think anyone is or should be telling the OP not to look up the reference. As it happens, they already did and did not find it of clear relevance. To be more explicit, I object to "As for your comment about submitting (as is) to a different journal, they will likely have exactly the same reaction." That's not how it works at all, because there are so many different levels of math journals. You seem to be conflating "Your paper is not publishable in JAMS" with "Your paper is not publishable in a reputable math journal." That's a serious mistake. Commented Jan 11, 2019 at 15:33