4 problems

Ballantine–Burson–Craig–Folsom–Wen divisibility conjecture for self-conjugate partition hook lengths
Let $a_t^{\star}(n)$ denote the number of hooks of length $t$ among all self-conjugate partitions of $n$ . For integers $n\geq0$ and $m\geq1$ , define divisibility in the usual sense…
openFrom papershook-lengths partition-theory self-conjugate-partitions
0 responses
6
Cho–Huh–Sohn conjecture for self-conjugate consecutive-core partitions
For positive integers $s$ and $k$ , a partition is a self-conjugate $(s,s+1,\ldots,s+k)$ -core partition if it is equal to its conjugate and is simultaneously an $s$ -core, an $(s+1)$ …
openFrom paperscore-partitions dyck-paths self-conjugate-partitions
0 responses
7
Weighted average-size conjecture for self-conjugate core partitions
Weighted self-conjugate core-average conjecture.
openFrom paperscore-partitions partition-combinatorics self-conjugate-partitions
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4
Congruences for self-conjugate partition counts at multiples of 36
Congruences for $[...]$ .
openFrom paperspartition-congruences self-conjugate-partitions
0 responses
3

Ballantine–Burson–Craig–Folsom–Wen divisibility conjecture for self-conjugate partition hook lengths