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 Gemensamma

Forskningsoutput: Tidskriftsbidrag › Artikel › Vetenskaplig › Peer review

2 Citeringar (Scopus)

Sammanfattning

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.

Originalspråk	Odefinierat/okänt
Sidor (från-till)	218–250
Tidskrift	Journal of Number Theory
Volym	194
DOI	https://doi.org/10.1016/j.jnt.2018.07.006
Status	Publicerad - 2019
MoE-publikationstyp	A1 Tidskriftsartikel-refererad

Åtkomst av dokument

10.1016/j.jnt.2018.07.006

Citera det här

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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",

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volume = "194",

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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 -