被分歧单位根扭曲的广义扭曲欧拉多项式的对称恒等式
Symmetry identites for generalized twisted Euler polynomials twisted by ramified roots of unity
摘要：
本文导出了与广义扭欧拉多项式和交错广义扭幂和有关的三元对称性的八个恒等式，它们都是由分歧单位根扭的.所有这些都是新的，因为只有关于二元对称恒等式的结果。恒等式的推导是基于广义扭欧拉多项式的生成函数的$p$ -adic整式和$p$ -adic积分的商，该商可以表示为交替广义扭幂和的指数母函数。
英文摘要：
We derive eight identities of symmetry in three variables related to generalized twisted Euler polynomials and alternating generalized twisted power sums, both of which are twisted by ramified roots of unity. All of these are new, since there have been results only about identities of symmetry in two variables. The derivations of identities are based on the $p$-adic integral expression of the generating function for the generalized twisted Euler polynomials and the quotient of $p$-adic integrals that can be expressed as the exponential generating function for the alternating generalized twisted power sums.
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