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A Proof of the Third and Cubic Borwein Conjectures

Ma, Yicen
arXiv (OAI Expanded) · Papers
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combinatorics
We establish the coefficient sign patterns in the Third Borwein conjecture and the modulus-three Cubic Borwein conjecture. The analytic arguments apply for $n\ge1750$ and $n\ge500$, respectively. They combine exact dissections and positive coefficient identities near the boundary with saddle point e
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