A. Simonič

activity

20192022

S (t)

S_{1} (t)

, and

ζ (1/2 + i t)

under the Riemann Hypothesis

13 citations · 23 across the 6 of their papers we have counts for

collaborators

Showing 2020Show all

2 papers · 1 filter

math.NT2020

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, $ζ (s)$ . In particular, we provide the first unco…

math.NT2020★ 13 cited

On explicit estimates for $S (t)$ , $S_{1} (t)$ , and $ζ (1/2 + i t)$ under the Riemann Hypothesis

Aleksander Simonič

Assuming the Riemann Hypothesis, we provide explicit upper bounds for moduli of $S (t)$ , $S_{1} (t)$ , and $ζ (1/2 + i t)$ while comparing them with recently proven unco…

Some explicit and unconditional results on gaps between zeroes of the Riemann zeta-function

On explicit estimates for S(t), S1​(t), and ζ(1/2+it) under the Riemann Hypothesis

On explicit estimates for $S (t)$ , $S_{1} (t)$ , and $ζ (1/2 + i t)$ under the Riemann Hypothesis