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math.NT2026
Lines in the prime number graph
Scott Duke Kominers, Rudi Mrazović, Carl Pomerance +1
The prime number graph is the set of points where denotes the prime. Let be the minimum number of straight line segments needed to cover the fir…
math.NT2025
Equidistribution of Diophantine pairs among the equivalence classes of quadratic forms
Goran Dražić, Matija Kazalicki, Rudi Mrazović
For a fixed integer n, a pair of nonzero integers {a, c} is called a D(n)-pair if the product ac plus n is a perfect square. In this short note we prove that D(n)-pairs are asympto…
math.NT2016★ 2 cited
A random model for the Paley graph
Rudi Mrazović
For a prime we define the Paley graph to be the graph with the set of vertices , and with edges connecting vertices whose sum is a quadratic residue. Pa…