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Modular Functions, Maple and Andrews’ 10th Problem

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Topics in Number Theory

Part of the book series: Mathematics and Its Applications ((MAIA,volume 467))

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Abstract

We discuss how Andrews’s 10th problem for generalized Frobenius partitions can be attacked using modular functions and a little help from Maple. Both elementary and function theoretic methods are employed. A multiplicative analogue of the Hecke operator U q* is constructed.

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© 1999 Kluwer Academic Publishers

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Garvan, F. (1999). Modular Functions, Maple and Andrews’ 10th Problem. In: Ahlgren, S.D., Andrews, G.E., Ono, K. (eds) Topics in Number Theory. Mathematics and Its Applications, vol 467. Springer, Boston, MA. https://doi.org/10.1007/978-1-4613-0305-3_10

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  • DOI: https://doi.org/10.1007/978-1-4613-0305-3_10

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4613-7988-1

  • Online ISBN: 978-1-4613-0305-3

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