Some new positive observations

被引：2
|
作者：
Berkovich, Alexander [1 ]
机构：
[1] Univ Florida, Dept Math, 358 Little Hall, Gainesville, FL 32611 USA
来源：
DISCRETE MATHEMATICS | 2020年 / 343卷 / 11期
基金：
芬兰科学院;
关键词：
Bressoud's conjectures; Positivity-preserving transformations; Rogers-Ramanujan type identities; Terminating q-series; ROGERS-RAMANUJAN IDENTITIES; ANALYTIC GENERALIZATION;
D O I：
10.1016/j.disc.2020.112040
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We revisit Bressoud's generalized Borwein conjecture. Making use of the 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 versions 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. (C) 2020 Elsevier B.V. All rights reserved.
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页数：8
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