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math.NT2018
Rado's criterion over squares and higher powers
Sam Chow, Sofia Lindqvist, Sean Prendiville
We establish partition regularity of the generalised Pythagorean equation in five or more variables. Furthermore, we show how Rado's characterisation of a partition regular equatio…
math.NT2015
Moments of random multiplicative functions and truncated characteristic polynomials
Winston Heap, Sofia Lindqvist
We give an asymptotic formula for the th moment of a sum of multiplicative Steinhaus variables. This was recently computed independently by Harper, Nikeghbali and Radziwiłł. We…