Timeline for Proving a binomial sum identity
Current License: CC BY-SA 4.0
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| Jul 25, 2021 at 20:38 | history | edited | Carlo Beenakker | CC BY-SA 4.0 |
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| Jul 25, 2021 at 20:31 | history | edited | Carlo Beenakker | CC BY-SA 4.0 |
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| Jul 25, 2021 at 17:49 | comment | added | Terry Tao | Both sides are meromorphic with the same simple poles and residues, so their difference is entire after removing singularities. Standard calculations show that this difference is bounded on circles of half-integer radius (one can also use squares or rectangles if one prefers), so from Cauchy's inequalities the difference is constant (cf. Liouville's theorem). Now take the limit as $x \to +\infty$ to see that the difference in fact vanishes. | |
| Jul 25, 2021 at 17:32 | history | edited | Carlo Beenakker | CC BY-SA 4.0 |
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| Jul 25, 2021 at 17:29 | history | edited | Carlo Beenakker | CC BY-SA 4.0 |
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| Jul 25, 2021 at 17:24 | history | answered | Carlo Beenakker | CC BY-SA 4.0 |