Gaps between zeros of Dedekind zeta-functions of quadratic number fields. II

H. M. Bui; Winston P. Heap; Caroline L. Turnage-Butterbaugh

doi:10.1093/qmath/haw021

Gaps between zeros of Dedekind zeta-functions of quadratic number fields. II

H. M. Bui, Winston P. Heap, Caroline L. Turnage-Butterbaugh

Research output: Contribution to journal › Article › peer-review

177 Downloads (Pure)

Abstract

Let K be a quadratic number field and ζK(s) be the associated Dedekind zeta-function. We show that there are infinitely many gaps between consecutive zeros of ζK(s) on the critical line which are >2.866 times the average spacing.

Original language	English
Pages (from-to)	467-482
Journal	Quarterly Journal of Mathematics
Volume	67
DOIs	https://doi.org/10.1093/qmath/haw021
Publication status	Published - 7 Jul 2016

Access to Document

10.1093/qmath/haw021

BuiHeapTurnage-Butterbaugh_gapsAccepted author manuscript, 286 KB

Cite this

@article{50dbb1be43e54296b58bcc48c27328ad,

title = "Gaps between zeros of Dedekind zeta-functions of quadratic number fields. II",

abstract = "Let K be a quadratic number field and ζK(s) be the associated Dedekind zeta-function. We show that there are infinitely many gaps between consecutive zeros of ζK(s) on the critical line which are >2.866 times the average spacing. ",

author = "Bui, {H. M.} and Heap, {Winston P.} and Turnage-Butterbaugh, {Caroline L.}",

year = "2016",

month = jul,

day = "7",

doi = "10.1093/qmath/haw021",

language = "English",

volume = "67",

pages = "467--482",

journal = "Quarterly Journal of Mathematics",

issn = "0033-5606",

publisher = "Oxford University Press",

}

TY - JOUR

T1 - Gaps between zeros of Dedekind zeta-functions of quadratic number fields. II

AU - Bui, H. M.

AU - Heap, Winston P.

AU - Turnage-Butterbaugh, Caroline L.

PY - 2016/7/7

Y1 - 2016/7/7

N2 - Let K be a quadratic number field and ζK(s) be the associated Dedekind zeta-function. We show that there are infinitely many gaps between consecutive zeros of ζK(s) on the critical line which are >2.866 times the average spacing.

AB - Let K be a quadratic number field and ζK(s) be the associated Dedekind zeta-function. We show that there are infinitely many gaps between consecutive zeros of ζK(s) on the critical line which are >2.866 times the average spacing.

UR - https://arxiv.org/abs/1410.3888

U2 - 10.1093/qmath/haw021

DO - 10.1093/qmath/haw021

M3 - Article

SN - 0033-5606

VL - 67

SP - 467

EP - 482

JO - Quarterly Journal of Mathematics

JF - Quarterly Journal of Mathematics

ER -

Gaps between zeros of Dedekind zeta-functions of quadratic number fields. II

Abstract

Access to Document

Other files and links

Fingerprint

Cite this