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New paper claims logarithms of rational numbers have irrationality exponent 2

Original: The logarithms of rational numbers have irrationality exponent 2 [pdf] Article URL: https:// jdb19937.github.io/log-irra

A newly shared preprint claims to prove that logarithms of rational numbers have irrationality exponent 2, a measure of how well such numbers can be approximated by rationals. The result would sharpen known bounds for numbers like log 2. The paper is circulating among mathematicians, with early discussion focused on verifying the argument and assessing whether the proof holds up.

Why now: A claimed breakthrough on a classic open problem in number theory naturally draws scrutiny and debate.

logarithmsirrationality exponentnumber theory

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• The logarithms of rational numbers have irrationality exponent 2 [pdf] Article URL: https:// jdb19937.github.io/log-irratio nality-measure/logmeasure.pdf Comments URL: https:// news.ycombinator.com/item?id=5 0027884 Points: 3 # Comments: 1 https://… · techwire@gamefan.net · 2

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