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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 : 2020-12-09 Roberto Tauraso
中文翻译:
用于zeta值和相关超同余的双变量生成函数
更新日期:2020-12-09
Journal of Difference Equations and Applications ( IF 1.1 ) Pub Date : 2020-12-09 Roberto Tauraso
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:
用于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,我们证明了一种新颖的与二元生成函数有关的有限组合恒等式 。这样的身份,是偶数zeta值的Bailey-Borwein-BradleyApéry式公式的扩展,然后用于显示多个超同余。