D. Milovic

activity

20152020

most citedOn Hasse's Unit Index

1 citations · 1 across the 2 of their papers we have counts for

collaborators

4 papers

math.NT2020★ 1 cited

On Hasse's Unit Index

Djordjo Z. Milovic

We study the distribution of Hasse's unit index $Q (L)$ for the CM-fields $L = Q (d, - 1)$ as $d$ varies among positive squarefree integers. We prove that the n…

math.NT2018

On the equations $x^{2} - 2 p y^{2} = - 1, \pm 2$

Djordjo Z. Milovic

Let $E \in {- 1, \pm 2}$ . We improve on the upper and lower densities of primes $p$ such that the equation $x^{2} - 2 p y^{2} = E$ is solvable for $x, y \in Z$ . We prove that the natu…

math.NT2018

Joint distribution of spins

Peter Koymans, Djordjo Milovic

We answer a question of Iwaniec, Friedlander, Mazur and Rubin on the joint distribution of spin symbols. As an application we give a negative answer to a conjecture of Cohn and Lag…

math.NT2015

The infinitude of $Q (- p)$ with class number divisible by $16$

Djordjo Milovic

The density of primes $p$ such that the class number $h$ of $Q (- p)$ is divisible by $2^{k}$ is conjectured to be $2^{- k}$ for all positive integers $k$ . The conjectur…

On Hasse's Unit Index

On the equations x2−2py2=−1,±2

Joint distribution of spins

The infinitude of Q(−p​) with class number divisible by 16

On the equations $x^{2} - 2 p y^{2} = - 1, \pm 2$

The infinitude of $Q (- p)$ with class number divisible by $16$