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A Variation on the Method of Cartier and Foata via Covering Systems for Combinatorial Identities

✍ Scribed by Ethan Lewis


Publisher
Elsevier Science
Year
1994
Tongue
English
Weight
531 KB
Volume
15
Category
Article
ISSN
0195-6698

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✦ Synopsis


A new technique for discovering and proving combinatorial identities is introduced. A bridgework showing the connection between this technique and covering systems of congruences is developed. New bijective proofs of the Vandermonde and Saalschuitz identities are given and other 'discovered' identities are given as examples of this technique.