# Victor Miller

 3,395 Reputation 4250 views

## Registered User

 Name Victor Miller Member for 3 years Seen May 15 at 0:03 Website Location Princeton, NJ Age 66
I'm a computational number theorist/discrete mathematician with an interest in arithmetic geometry, data compression and cryptography.
 Apr26 comment The Cayley Menger Theorem and integer matrices with row sum 2@Gunter: not all the coefficients are positive, so that we need to add a sign to $2^k$ -- is it the sign of the permutation? Apr26 comment The Cayley Menger Theorem and integer matrices with row sum 2@Gunter: thank you for a clear a lucid explanation. Apr26 comment The Cayley Menger Theorem and integer matrices with row sum 2@Gunter, I wondered the same. They must mean non-negative. I'll point this out to NJA Sloane. Apr26 revised The Cayley Menger Theorem and integer matrices with row sum 2added reference to paper of Aitken Apr26 asked The Cayley Menger Theorem and integer matrices with row sum 2 Apr3 comment Binary expansion of squares@Mike, You're welcome. I just finished looking at your paper in more detail. Your 3-adic argument for the corresponding base 3 problem is similar to the 2-adic argument that I gave above (though the 2-adic case is a bit simpler since you only have 0/1 coefficients). All I was missing (which is what I alluded to at the end of the paragraph) is the Pade approximation to $\sqrt{1+x}$ that you got from Beukers. Apr3 comment Binary expansion of squares@Mike: I can see why you were familiar with Szalay's paper. You were being too modest not mentioning your preprint: math.ubc.ca/~bennett/Be-Selfridge.pdf Apr3 comment Binary expansion of squares@Mike: Thanks for the reference. Here's a link to the paper titanic.nyme.hu/~laszalay/publications/TIJNEW.pdf . The heavy lifting was done by Beukers, who showed that there are only at most 4 solutions to $x^2 - D = 2^n$ (variables, $x$ and $n$) Apr2 revised Binary expansion of squaresseparate question from attempts and add sporadic case Apr2 revised Binary expansion of squaresfixed typos Apr2 revised Binary expansion of squaresfixed typos, and cleaned up tags Apr2 asked Binary expansion of squares Mar9 awarded ● Good Question Dec23 awarded ● Yearling Nov24 awarded ● Nice Answer