J. Lune

activity

20102014

most citedAlgorithms for determining integer complexity

8 citations · 17 across the 7 of their papers we have counts for

collaborators

Showing 2011Show all

2 papers · 1 filter

math.NT2011★ 3 cited

A note on the real part of the Riemann zeta-function

Juan Arias de Reyna, Richard P. Brent, Jan van de Lune

We consider the real part $ℜ (ζ (s))$ of the Riemann zeta-function $ζ (s)$ in the half-plane $ℜ (s) \geq 1$ . We show how to compute accurately the constant $σ_{0} = 1.19 \dots$ which…

math.NT2011★ 1 cited

Some bounds and limits in the theory of Riemann's zeta function

J. Arias de Reyna, J. van de Lune

For any real a>0 we determine the supremum of the real σ such that ζ(σ+it) = a for some real t. For 0 < a < 1, a = 1, and a > 1 the results turn out to be quite different.} We also…