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math.CO2024
New Borwein-type conjectures
Alexander Berkovich, Aritram Dhar
Motivated by recent research of Wang and Krattenthaler, we use Maple to propose five new ``Borwein-type'' conjectures modulo and two new ``Borwein-type'' conjectures modulo …
math.CO2024
Extension of Bressoud's generalization of Borwein's conjecture and some exact results
Alexander Berkovich, Aritram Dhar
In this paper, we conjecture an extension to Bressoud's 1996 generalization of Borwein's famous 1990 conjecture. We then state a few infinite hierarchies of non-negative -series…