On the explicit upper and lower bounds for the number of zeros of the Selberg class

Neea Palojärvi

doi:10.1016/j.jnt.2018.07.006

On the explicit upper and lower bounds for the number of zeros of the Selberg class

Neea Palojärvi

FNT Common

Tutkimustuotos: Lehtiartikkeli › Artikkeli › Tieteellinen › vertaisarvioitu

2 Sitaatiot (Scopus)

Abstrakti

In this paper we prove explicit upper and lower bounds for the error term in the Riemann–von Mangoldt type formula for the number of zeros inside the critical strip. Furthermore, we also give examples of the bounds.

Alkuperäiskieli	Ei tiedossa
Sivut	218–250
Julkaisu	Journal of Number Theory
Vuosikerta	194
DOI - pysyväislinkit	https://doi.org/10.1016/j.jnt.2018.07.006
Tila	Julkaistu - 2019
OKM-julkaisutyyppi	A1 Julkaistu artikkeli, soviteltu

Pääsy asiakirjaan

10.1016/j.jnt.2018.07.006

Viittausmuodot

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title = "On the explicit upper and lower bounds for the number of zeros of the Selberg class",

abstract = "In this paper we prove explicit upper and lower bounds for the error term in the Riemann–von Mangoldt type formula for the number of zeros inside the critical strip. Furthermore, we also give examples of the bounds.",

author = "Neea Paloj{\"a}rvi",

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year = "2019",

doi = "10.1016/j.jnt.2018.07.006",

language = "Odefinierat/ok{\"a}nt",

volume = "194",

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journal = "Journal of Number Theory",

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TY - JOUR

T1 - On the explicit upper and lower bounds for the number of zeros of the Selberg class

AU - Palojärvi, Neea

N1 - bett om fulltext 5.8.20 JÖ

PY - 2019

Y1 - 2019

N2 - In this paper we prove explicit upper and lower bounds for the error term in the Riemann–von Mangoldt type formula for the number of zeros inside the critical strip. Furthermore, we also give examples of the bounds.

AB - In this paper we prove explicit upper and lower bounds for the error term in the Riemann–von Mangoldt type formula for the number of zeros inside the critical strip. Furthermore, we also give examples of the bounds.

U2 - 10.1016/j.jnt.2018.07.006

DO - 10.1016/j.jnt.2018.07.006

M3 - Artikel

SN - 0022-314X

VL - 194

SP - 218

EP - 250

JO - Journal of Number Theory

JF - Journal of Number Theory

ER -