$q$-analogue triangular numbers and distance geometry
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- by Kenneth B. Stolarsky PDF
- Proc. Amer. Math. Soc. 125 (1997), 35-39 Request permission
Abstract:
The so-called “$q$-identities” play a major role in classical combinatorics. Most of them can be viewed as arising somehow in the context of hypergeometric series. Here we present a “sum of squares” identity involving $q$-analogues of the triangular numbers that, by contrast, arises in the context of distance geometry.References
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Additional Information
- Kenneth B. Stolarsky
- Affiliation: Department of Mathematics, University of Illinois, 1409 W. Green St., Urbana, Illinois 61801
- Email: stolarsk@math.uiuc.edu
- Received by editor(s): June 29, 1995
- Communicated by: Jeffry N. Kahn
- © Copyright 1997 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 125 (1997), 35-39
- MSC (1991): Primary 05A19, 05A30, 51K05; Secondary 11B65
- DOI: https://doi.org/10.1090/S0002-9939-97-03823-9
- MathSciNet review: 1377009