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Zeroes of partial sums of the zeta-function

Research output: Contribution to journalArticle

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Zeroes of partial sums of the zeta-function. / Platt, David J; Trudgian, Timothy.

In: LMS Journal of Computation and Mathematics, Vol. 19, No. 1, 29.02.2016, p. 37-41.

Research output: Contribution to journalArticle

Harvard

Platt, DJ & Trudgian, T 2016, 'Zeroes of partial sums of the zeta-function', LMS Journal of Computation and Mathematics, vol. 19, no. 1, pp. 37-41. https://doi.org/10.1112/S1461157015000340

APA

Platt, D. J., & Trudgian, T. (2016). Zeroes of partial sums of the zeta-function. LMS Journal of Computation and Mathematics, 19(1), 37-41. https://doi.org/10.1112/S1461157015000340

Vancouver

Platt DJ, Trudgian T. Zeroes of partial sums of the zeta-function. LMS Journal of Computation and Mathematics. 2016 Feb 29;19(1):37-41. https://doi.org/10.1112/S1461157015000340

Author

Platt, David J ; Trudgian, Timothy. / Zeroes of partial sums of the zeta-function. In: LMS Journal of Computation and Mathematics. 2016 ; Vol. 19, No. 1. pp. 37-41.

Bibtex

@article{d76b3c11c7b7410199db8d6312a0f825,
title = "Zeroes of partial sums of the zeta-function",
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.",
keywords = "11M06 (primary), 11Y35 (secondary)",
author = "Platt, {David J} and Timothy Trudgian",
year = "2016",
month = "2",
day = "29",
doi = "10.1112/S1461157015000340",
language = "English",
volume = "19",
pages = "37--41",
journal = "LMS Journal of Computation and Mathematics",
issn = "1461-1570",
publisher = "London Mathematical Society",
number = "1",

}

RIS - suitable for import to EndNote

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T1 - Zeroes of partial sums of the zeta-function

AU - Platt, David J

AU - Trudgian, Timothy

PY - 2016/2/29

Y1 - 2016/2/29

N2 - 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.

AB - 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.

KW - 11M06 (primary)

KW - 11Y35 (secondary)

U2 - 10.1112/S1461157015000340

DO - 10.1112/S1461157015000340

M3 - Article

VL - 19

SP - 37

EP - 41

JO - LMS Journal of Computation and Mathematics

JF - LMS Journal of Computation and Mathematics

SN - 1461-1570

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