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A bivariate generating function for zeta values and related supercongruences
Journal of Difference Equations and Applications ( IF 1.1 ) Pub Date : 2020-12-01 , DOI: 10.1080/10236198.2020.1856827
Roberto Tauraso 1
Affiliation  

ABSTRACT By using the Wilf–Zeilberger method, we prove a novel finite combinatorial identity related to a bivariate generating function for . Such identity, which is an extension of a Bailey–Borwein–Bradley Apéry-like formula for even zeta values, is then applied to show several supercongruences.

中文翻译:

zeta 值和相关超同余的双变量生成函数

摘要 通过使用 Wilf-Zeilberger 方法,我们证明了与 的双变量生成函数相关的新的有限组合恒等式。这种恒等式是用于偶数 zeta 值的类似 Bailey-Borwein-Bradley Apéry 的公式的扩展,然后用于显示几个超同余。
更新日期:2020-12-01
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