Abstract
This article considers the positive integers N for which ζN(s)=∑Nn=1n−s has zeroes in the half-plane R(s)>1. Building on earlier results, we show that there are no zeroes for 1⩽N⩽18 and for N=20,21,28. For all other N there are infinitely many such zeroes.
| Original language | English |
|---|---|
| Pages (from-to) | 37-41 |
| Number of pages | 5 |
| Journal | LMS Journal of Computation and Mathematics |
| Volume | 19 |
| Issue number | 1 |
| DOIs | |
| Publication status | Published - 29 Feb 2016 |
Keywords
- 11M06 (primary)
- 11Y35 (secondary)
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Sadaf R Alam (Manager), Steven A Chapman (Manager), Polly E Eccleston (Other), Simon H Atack (Other) & D A G Williams (Manager)
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