4 papers
Some explicit and unconditional results on gaps between zeroes of the Riemann zeta-function
A. Simonič, T. Trudgian, C. L. Turnage-Butterbaugh
We make explicit an argument of Heath-Brown concerning large and small gaps between nontrivial zeroes of the Riemann zeta-function, . In particular, we provide the first unco…
On explicit estimates for , , and under the Riemann Hypothesis
Aleksander Simonič
Assuming the Riemann Hypothesis, we provide explicit upper bounds for moduli of , , and while comparing them with recently proven unco…
Platonic configurations of points and lines
Jurij Kovič, Aleksander Simonič
We present some methods for constructing connected spatial geometric configurations of points and lines, preserved by the same rotations (and reflections) of Eucli…
On Littlewood's proof of the prime number theorem
Aleksander Simonič
In this note we examine Littlewood's proof of the prime number theorem. We show that this can be extended to provide an equivalence between the prime number theorem and the non-van…