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New paper shows logarithms of rationals have irrationality exponent 2
Original: The logarithms of rational numbers have irrationality exponent 2 [pdf]
A new paper by GitHub user jdb1729 proves that the logarithms of rational numbers have irrationality exponent exactly 2, meaning they cannot be approximated by rationals much better than generic irrational numbers. The result, shared as a self-published PDF, is drawing attention from mathematically inclined readers who are discussing the proof techniques and how the bound compares to known results for related constants.
Why now: Readers are sharing and discussing a newly published mathematical proof of an elegant number-theory result.
jdb1729logarithmirrationality exponent
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