W. Heap

activity

20122026

most citedLower bounds for moments of zeta and

L

-functions revisited

21 citations · 26 across the 11 of their papers we have counts for

collaborators

Showing 2018Show all

2 papers · 1 filter

math.NT2018

A note on the maximum of the Riemann zeta function on the 1-line

Winston Heap

We investigate the relationship between the maximum of the zeta function on the 1-line and the maximal order of $S (t)$ , the error term in the number of zeros up to height $t$ . We s…

math.NT2018

High pseudomoments of the Riemann zeta function

Ole Fredrik Brevig, Winston Heap

The pseudomoments of the Riemann zeta function, denoted $M_{k} (N)$ , are defined as the $2 k$ th integral moments of the $N$ th partial sum of $ζ (s)$ on the critical line. We i…