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Overpartitions and Generating Functions for Generalized Frobenius Partitions

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Mathematics and Computer Science III

Part of the book series: Trends in Mathematics ((TM))

Abstract

Generalized Frobeniuspartitionsor F-partitions have recently playedan important role in severalcombinatorial investigations of basic hypergeometric series identities. The goal of this paper isto use the framework ofthese investigationsto interpret families of infinite productsas generating functions for F-partitions.We employ q-series identities and bijective combinatorics.

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Corteel, S., Lovejoy, J., Yee, A.J. (2004). Overpartitions and Generating Functions for Generalized Frobenius Partitions. In: Drmota, M., Flajolet, P., Gardy, D., Gittenberger, B. (eds) Mathematics and Computer Science III. Trends in Mathematics. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-7915-6_2

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  • DOI: https://doi.org/10.1007/978-3-0348-7915-6_2

  • Publisher Name: Birkhäuser, Basel

  • Print ISBN: 978-3-0348-9620-7

  • Online ISBN: 978-3-0348-7915-6

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