The paper lists quaternary universal sums of generalized polygonal numbers, but its main proof lemma, Corollary 1.3, is false as stated.
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Universal quaternary mixed sums involving generalized 3-, 4-, 5- and 8-gonal numbers via products of Ramanujan's theta functions
The paper lists quaternary universal sums of generalized polygonal numbers, but its main proof lemma, Corollary 1.3, is false as stated.