13 citations · 23 across the 6 of their papers we have counts for
7 papers
Conditional estimates for -functions in the Selberg class
Neea Palojärvi, Aleksander Simonič
Assuming the Generalized Riemann Hypothesis, we provide uniform upper bounds with explicit main terms for moduli of $\left(\cL'/\cL\right)(s)$ and $\log{\cL(s)}$ for …
Conditional estimates for the logarithmic derivative of Dirichlet -functions
Andrés Chirre, Aleksander Simonič, Markus Valås Hagen
Assuming the Generalized Riemann Hypothesis, we establish explicit bounds in the -aspect for the logarithmic derivative of Dirichlet -func…
Atkinson's formula for the mean square of with an explicit error term
Aleksander Simonič, Valeriia V. Starichkova
We provide an explicit -term of the celebrated Atkinson's formula for the error term of the second power moment of the Riemann zeta-function on the…
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…