AN EXTENSION OF RAMUS' IDENTITY WITH APPLICATIONS

Author:

Benjamin JUSTUS

2010 Mathematics Subject Classification:

11B65.

Keywords:

arithmetic progression, binomial coefficient,  random walk.

Abstract:

We prove a weighted version of the sum of binomial coefficients in arithmetic progression. As an application, we deduce a random walk theorem which generalizes a result of Aldous and Diaconis.

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Just-2013

Vol. 8 (16), 2013