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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…
math.NT2008
On almost universal mixed sums of squares and triangular numbers
Ben Kane, Zhi-Wei Sun
In 1997 K. Ono and K. Soundararajan [Invent. Math. 130(1997)] proved that under the generalized Riemann hypothesis any positive odd integer greater than 2719 can be represented by…