Tristan Freiberg, Department of Pure Mathematics, University of Waterloo
“Sums
of
two
squares
in
tuples”
Sums of two squares are historically the most well-studied integers after the primes. We present a k-tuples conjecture for sums of two squares, analogous to the Hardy–Littlewood prime k-tuples conjecture, and discuss its consequences for the distribution of sums of two squares in intervals.
MC 5403