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math.NT2016
Subsets of free of 3-term geometric progressions
Megumi Asada, Eva Fourakis, Sarah Manski +3
Several recent papers have considered the Ramsey-theoretic problem of how large a subset of integers can be without containing any 3-term geometric progressions. This problem has a…
math.NT2013
Some Diophantine equations related to positive-rank elliptic curves
Gwyneth Moreland, Michael E. Zieve
We give conditions on the rational numbers a,b,c which imply that there are infinitely many triples (x,y,z) of rational numbers such that x+y+z=a+b+c and xyz=abc. We do the same fo…