An algebraic identity on q-Apery numbers

作者：Zheng, De-Yin^*

来源：Discrete Mathematics, 2011, 311(23-24): 2708-2710.

DOI：10.1016/j.disc.2011.08.004

• q-binomial coefficients
• q-harmonic numbers
• Algebraic identity

By means of partial fraction decomposition, we establish a q-extension of an algebraic identity on rational function due to Chu [W. Chu, A binomial coefficient identity associated with Beukers' conjecture on Apery numbers, The Electronic journal of Combinatorics 11 (2004) #N15]. Its limiting case as q -> 1 leads to a harmonic number identity closely related to Beukers' well-known conjecture on Apery numbers.

• 出版日期2011-12-28
• 单位杭州师范大学