By means of the generating function approach, a new proof is presented for Carlitz’ summation formula about circular products of binomial coefficients. A couple of analogous identities are also established.

中文翻译：

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二项式系数的圆和

通过生成函数的方法，为Carlitz关于二项式系数的圆积的求和公式提供了新的证明。还建立了两个相似的身份。