Identities of symmetry in two variables for Bernoulli polynomials and power sums had been investigated by considering suitable symmetric identities. T. Kim used a completely different tool, namely the p-adic Volkenborn integrals, to find the same identities of symmetry in two variables. Not much later, it was observed that this p-adic approach can be generalized to the case of three variables and shown that it gives some new identities of symmetry even in the case of two variables upon specializing one of the three variables. In this paper, we generalize the results in three variables to those in an arbitrary number of variables in a suitable setting and illustrate our results with some examples.

中文翻译：

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Bernoulli多项式和幂和的对称性

通过考虑合适的对称身份，研究了伯努利多项式和幂和的两个变量的对称身份。T. Kim使用完全不同的工具，即p-adic Volkenborn积分，在两个变量中找到相同的对称性。不久之后，观察到这种p-adic方法可以推广到三个变量的情况，并且表明即使在两个变量的情况下，通过专门化三个变量中的一个，它也可以提供一些新的对称性。在本文中，我们将三个变量的结果推广到在适当设置下任意数量的变量的结果，并通过一些示例来说明我们的结果。