Korean Journal of Mathematics

The Kangwon-Kyungki Mathematical Society (강원경기수학회)
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POLYGONAL PARTITIONS

  • Kim, Byungchan (School of Liberal Arts Seoul National University of Science and Technology)
  • Received : 2017.10.25
  • Accepted : 2018.03.29
  • Published : 2018.06.30
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Abstract

By acting the dihedral group $D_k$ on the set of k-tuple multi-partitions, we introduce k-gonal partitions for all positive integers k. We give generating functions for these new partition functions and investigate their arithmetic properties.

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References

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  3. M. Newman, Construction and application of a class of modular functions II, Proc. London Math. Soc. (3) 9 (1959), 373-387.
  4. K. Ono, Web of Modularity: arithmetic of the coefficients of modular forms and q-series, CBMS Regional Conference Series in Mathematics, 102. Published for the Conference Board of the Mathematical Sciences, Washington, DC, by the American Mathematical Society, Providence, RI, 2004.

Cited by

  1. ARITHMETIC PROPERTIES OF TRIANGULAR PARTITIONS vol.28, pp.4, 2018, https://doi.org/10.11568/kjm.2020.28.4.791