analogue triangular numbers and distance geometry
Author:
Kenneth B. Stolarsky
Journal:
Proc. Amer. Math. Soc. 125 (1997), 3539
MSC (1991):
Primary 05A19, 05A30, 51K05; Secondary 11B65
MathSciNet review:
1377009
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Abstract 
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Additional Information
Abstract: The socalled ``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 analogues of the triangular numbers that, by contrast, arises in the context of distance geometry.
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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
DOI:
http://dx.doi.org/10.1090/S0002993997038239
PII:
S 00029939(97)038239
Keywords:
Distance geometry,
$q$identity,
$q$analogue triangular numbers,
triangular numbers
Received by editor(s):
June 29, 1995
Communicated by:
Jeffry N. Kahn
Article copyright:
© Copyright 1997
American Mathematical Society
