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math.CO2024
On a sign-change conjecture of Schlosser and Zhou
Kathrin Bringmann, Bernhard Heim, Ben Kane
In this paper, we investigate the signs changes of Fourier coefficients of infinite products of -series of Rogers--Ramanujan type. In particular, we prove a conjecture made by S…
math.CO2008
Multiplicative -hypergeometric series arising from real quadratic fields
Kathrin Bringmann, Ben Kane
Andrews, Dyson, and Hickerson showed that 2 -hypergeometric series, going back to Ramanujan, are related to real quadratic fields, which explains interesting properties of their…