논문KCI 등재
Polygonal partitions
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참고문헌
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주제분류수학
초록
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.
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.
참고문헌 (4)
- B. Kim, "Group Actions on Partitions, Paper #P3.58", Elect. J. Comb., 24 (2017)
- G. Ligozat, "Courbes modulaires de genre 1, SocieteMathematique de France, Paris", Bull. Soc. Math. France, Mem., 43 (1975)
- M. Newman, "Construction and application of a class of modular functions II", Proc. London Math. Soc., 9(3), pp.373~387 (1959)
- 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 (2004), American Mathematical Society
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