Abstract
We extend a theorem of Alladi and Gordon asymmetrically to overpartitions. As special cases, we find asymmetric generalizations of Schur’s theorem and partition identities closely related to Capparelli’s identity and the Alladi–Andrews dual of Göllnitz’ theorem.
For Krishna Alladi on his 60th birthday
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Lovejoy, J. (2017). Asymmetric Generalizations of Schur’s Theorem. In: Andrews, G., Garvan, F. (eds) Analytic Number Theory, Modular Forms and q-Hypergeometric Series. ALLADI60 2016. Springer Proceedings in Mathematics & Statistics, vol 221. Springer, Cham. https://doi.org/10.1007/978-3-319-68376-8_26
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DOI: https://doi.org/10.1007/978-3-319-68376-8_26
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