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Jan
18
comment Why were proofs avoiding complex analysis preferred in number theory? Is this distinction still important?
@Mathemagician1234: Fine (I didn't downvote btw) but I'm not sure your post conveys this.
Jan
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Jan
16
comment If $a,b,c$ are real numbers all less than or equal to $1$ such that $a+b+c=0$ , then is it true that $(1-a)(1-b)(1-c) \le 1$?
You have received 7000+ points worth of votes and have not cast a single vote...?
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Jan
16
comment Why were proofs avoiding complex analysis preferred in number theory? Is this distinction still important?
@Mathemagician1234: You have posted some really nice answers but this one seems anhistorical. Adam Hughes' observation that the distinction became "less of a community preoocupation over time" is certainly correct. But Selberg didn't get a Fields medal for wrestling with an "anachronism dating from the 18th century." When Ingham reviewed Erdos' and Selberg's papers he used the term transcendental to refer to complex methods. There was a feeling that the power of complex methods transcended elementary methods. That sense has faded but I don't think it was ever seen as silly.
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