We describe the notion of an algebraic structure underlying a combinatorial identity or an inequality. In so doing, we supply an algebraic motivation for symbolic substitutions like x n → x n ,x n → (x) n and others.
The would-be method of targeted rings / O.M. D’Antona - In: Mathematical Essays in honor of Gian-Carlo Rota / [a cura di] B. E. Sagan, R. P. Stanley. - Boston : Birkhäuser, 1996. - ISBN 9781461286561. - pp. 157-172 [10.1007/978-1-4612-4108-9_7]
The would-be method of targeted rings
O.M. D’AntonaPrimo
1996
Abstract
We describe the notion of an algebraic structure underlying a combinatorial identity or an inequality. In so doing, we supply an algebraic motivation for symbolic substitutions like x n → x n ,x n → (x) n and others.
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