Question

non-holomorphic ramanujan-type congruences for hurwitz class numbers. proceedings of the national academy of sciences of the united states of america

Answer 1

• We find that Ramanujan-type congruences for Hurwitz class numbers can be sustained on nonholomorphic generating series, in contrast to all other known Ramanujan-type congruences.
• For such nonholomorphic congruences of Hurwitz class numbers, we demonstrate a divisibility conclusion.
• The holomorphic projection of theta series products with a Hurwitz class number generating series and a Serre theorem.

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