40 citations · 117 across the 23 of their papers we have counts for
26 papers
Gross vectors modulo 2 and elliptic curves of prime conductor
Matija Kazalicki, Siniša Slijepčević
Let p > 3 be a prime, and let S_p denote the geometric isomorphism classes of supersingular elliptic curves in characteristic p whose j-invariants lie in F_p. For each negative fun…
Jordan rigidity of full matrix algebras
Ilja Gogić, Matija Kazalicki, Mateo Tomašević
Let be a field of characteristic different from , and let denote the Jordan algebra of all matrices over with product $…
Quartic Rational Diophantine Quadruples and the Euler Surface
Alen Andrašek, Matija Kazalicki, Domagoj Vlah
We prove that there exist infinitely many quartic rational Diophantine quadruples, that is, sets of four pairwise distinct nonzero rational numbers whose pairwise products increase…
The Jordan multiplication semigroup of matrix algebras is the full endomorphism semigroup
Ilja Gogić, Matija Kazalicki, Mateo Tomašević
Let be a field of characteristic different from , and let be the algebra of all matrices over . We consider the correspond…
Seven squares from three numbers
Andrej Dujella, Matija Kazalicki, Vinko Petričević
We study triples {a,b,c} of distinct nonzero rational numbers such that a+1,b+1,c+1,ab+1,ac+1,bc+1 and abc+1 are all perfect squares. We prove that there exist infinitely many such…
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…