[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.11568/kjm.2018.26.2.167

POLYGONAL PARTITIONS

Kim, Byungchan (School of Liberal Arts Seoul National University of Science and Technology)

Publication Information

Korean Journal of Mathematics / v.26, no.2, 2018 , pp. 167-174 More about this Journal

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.

Keywords

Partitions; group action; partition congruence;

Citations & Related Records

Reference

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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.