A Note on Alternating Sums

Author:

Kirschenhofer Peter

Abstract

We present some results on a certain type of alternating sums which frequently arise in connection with the average-case analysis of algorithms and data. Whereas the so-called Rice's method for treating such sums uses complex contour integration we perform manipulations of generating functions in order to get explicit results from which asymptotic estimates follow immediately.

Publisher

The Electronic Journal of Combinatorics

Subject

Computational Theory and Mathematics,Geometry and Topology,Theoretical Computer Science,Applied Mathematics,Discrete Mathematics and Combinatorics

Cited by 8 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. The Euclidean Algorithm and the Linear Diophantine Equation ax + by = gcd(a, b);The American Mathematical Monthly;2013

2. A Probabilistic Proof of a Binomial Identity;The American Mathematical Monthly;2013

3. Some Combinatorial and Analytical Identities;Annals of Combinatorics;2012-10-06

4. Identities on harmonic and q-harmonic number sums;Afrika Matematika;2011-04-06

5. Structural theorems for symbolic summation;Applicable Algebra in Engineering, Communication and Computing;2009-11-11

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