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- W3042732992 abstract "We extend recent results of Ono and Raji, relating the number of self-conjugate $7$-core partitions to Hurwitz class numbers. Furthermore, we give a combinatorial explanation for the curious equality $2operatorname{sc}_7(8n+1) = operatorname{c}_4(7n+2)$. We also conjecture that an equality of this shape holds if and only if $t=4$, proving the cases $tin{2,3,5}$ and giving partial results for $t>5$." @default.
- W3042732992 created "2020-07-23" @default.
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- W3042732992 date "2020-05-14" @default.
- W3042732992 modified "2023-10-01" @default.
- W3042732992 title "On $t$-core and self-conjugate $(2t-1)$-core partitions in arithmetic progressions" @default.
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