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Generalized rank deviations for overpartitions

Published 20 Nov 2025 in math.NT and math.CO | (2511.16396v1)

Abstract: We prove formulas for generalized rank deviations for overpartitions. These formulas are in terms of Appell-Lerch series and sums of quotients of theta functions and extend work of Lovejoy and the second author. As an application, we compute a dissection.

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