论文标题
一些新的积极观察
Some New Positive Observations
论文作者
论文摘要
我们重新审视布雷索德的广义borwein猜想。利用新的阳性变换来用于Q二项式系数，我们确定了Bressoud猜想的许多案例的真相。此外，我们证明了Lebesgue的身份和Euler的Pentagonal Number定理的新有界版本。最后，我们讨论了Andrews-Gordon Mod 21和Bressoud Mod 20身份的新同伴。
We revisit Bressoud's generalized Borwein conjecture. Making use of new positivity-preserving transformations for q-binomial coefficients we establish the truth of infinitely many cases of the Bressoud conjecture. In addition, we prove new bounded version of Lebesgue's identity and of Euler's Pentagonal Number Theorem. Finally, we discuss new companions to Andrews-Gordon mod 21 and Bressoud mod 20 identities.
