Europ. J. Combinatorics, 16, 1995, p. 221-252.

Robert J. Clarke and Dominique Foata

Eulerian Calculus, II: An Extension of Han's Fundamental Transformation

Abstract. In our first Eulerian Calculus paper, we introduced the k-descent and k-excedance statistics on words, considered various bijections associated with them and calculated their distributions. In this paper we consider the k-major and k-den statistics and show that the joint des-maj and exc-den distributions of that k-extension are identical. We also consider the generating functions for these statistics.,

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