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math.NT2003
Almost Alternating Sums
Kevin O'Bryant, Bruce Reznick, Monika Serbinowska
Writing for a general mathematical audience, we provide elementary upper and lower bounds on the growth (as a function of N) of the sum \sum_{n=1}^N (-1)^{\floor{n x}} for various…
math.AG2003
On the absence of uniform denominators in Hilbert's 17th problem
Bruce Reznick
Hilbert showed that for most there exist psd forms of degree which cannot be written as a sum of squares of forms. His 17th problem asked whether, in t…