Monochromatic sums of squares
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DOI: 10.1007/s00209-017-1943-7
Abstract: For any integer $$K\ge 1$$K≥1 let s(K) be the smallest integer such that in any colouring of the set of squares of the integers in K colours every large enough integer can be written as… read more here.
Keywords: log log; integer; monochromatic sums; sums squares ... See more keywords
On the Gevrey regularity for sums of squares of vector fields, study of some models
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DOI: 10.1016/j.jde.2018.03.018
Abstract: The micro-local Gevrey regularity of a class of "sums of squares" with real analytic coefficients is studied in detail. Some partial regularity result is also given. read more here.
Keywords: regularity; squares vector; regularity sums; sums squares ... See more keywords
Inequalities for sums of squares of reranked differences involving ties and missing data
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DOI: 10.1080/03610926.2016.1179762
Abstract: ABSTRACT An inequality for the sum of squares of rank differences associated with Spearman’s rank correlation coefficient, when ties and missing data are present in both rankings, was established numerically in Loukas and Papaioannou (1991).… read more here.
Keywords: inequalities sums; ties missing; reranked differences; sums squares ... See more keywords