TY - JOUR
T1 - Zeroes of partial sums of the zeta-function
AU - Platt, David J.
AU - Trudgian, Timothy S.
N1 - Publisher Copyright:
© The Author(s) 2016.
PY - 2016/1/1
Y1 - 2016/1/1
N2 - This article considers the positive integers N for which ζN(s) = Nn=1 n-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 there are infinitely many such zeroes.
AB - This article considers the positive integers N for which ζN(s) = Nn=1 n-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 there are infinitely many such zeroes.
UR - https://www.scopus.com/pages/publications/84959243686
U2 - 10.1112/S1461157015000340
DO - 10.1112/S1461157015000340
M3 - Article
SN - 1461-1570
VL - 19
SP - 37
EP - 41
JO - LMS Journal of Computation and Mathematics
JF - LMS Journal of Computation and Mathematics
IS - 1
ER -