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  1. No Access

    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...

    Olivia X. M. Yao, Eric H. Liu, Min Bian in The Ramanujan Journal (2022)

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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 \(\overline{N}(s,l;n)\) ...

    Min Bian, Houqing Fang, **ao Qian Huang, Olivia X. M. Yao in The Ramanujan Journal (2022)

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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 ...

    Min Bian, Dazhao Tang, Ernest X. W. **a, Fanggang Xue in The Ramanujan Journal (2021)