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Article
Automatic proofs of some conjectures of Sun on the relations between sums of squares and sums of triangular numbers
Recently, Sun posed a number of conjectures on the relations between sums of squares and sums of triangular numbers. Some of these conjectures were confirmed by Baruah, Kaur, Kim, Yao, **a and Zhong. In this p...
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Article
Ranks, cranks for overpartitions and Appell–Lerch sums
The definitions of the rank and crank for overpartitions were given by Bringmann, Lovejoy and Osburn. Let \(\overline{N}(s,l;n)\) ...
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Article
Proofs of some conjectures on the reciprocals of the Ramanujan–Gordon identities
Recently, Lin and Wang introduced two special partition functions \(RG_1(n)\) R ...