We give a short proof of Manin-Mumford in the multiplicative group based on the pigeon-hole principle and the so-called structure theorem for anomalous subvarieties. The arguments appear to be new and perhaps applicable in other situations.
A short note on inadmissible coefficients of weight $2$ and $2k+1$ newforms
A Short Note on Gaps between Powers of Consecutive Primes
A short Proof of a conjecture by Hirschhorn and Sellers on Overpartitions
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