Conjectural overpartition congruence modulo 19
Conjectural overpartition congruence modulo 19
For a positive integer , let denote the number of overpartitions of , and let denote the Legendre symbol for an odd prime . Congruence modulo 19.
where , , and . It involves residue classes modulo , which the source does not list. The source presents this as another conjectural Ramanujan-type congruence that cannot be proved by the methods in the paper; no resolution is supplied.
Sources & referencesView supporting material
Primary source
XuanLing Wei, “New Ramanujan-type congruences for overpartitions modulo 11 and 13”, arXiv:2603.08510 (2026).
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