An improved upper bound for the error in the zero-counting formulae for Dirichlet L-functions and Dedekind zeta-functions

T. S. Trudgian

doi:10.1090/s0025-5718-2014-02898-6

An improved upper bound for the error in the zero-counting formulae for Dirichlet L-functions and Dedekind zeta-functions

T. S. Trudgian^*

^*Corresponding author for this work

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

25 Citations (Scopus)

Abstract

This paper contains new explicit upper bounds for the number of zeroes of Dirichlet L-functions and Dedekind zeta-functions in rectangles.

Original language	English
Pages (from-to)	1439-1450
Number of pages	12
Journal	Mathematics of Computation
Volume	84
Issue number	293
DOIs	https://doi.org/10.1090/s0025-5718-2014-02898-6
Publication status	Published - 2015

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title = "An improved upper bound for the error in the zero-counting formulae for Dirichlet L-functions and Dedekind zeta-functions",

abstract = "This paper contains new explicit upper bounds for the number of zeroes of Dirichlet L-functions and Dedekind zeta-functions in rectangles.",

keywords = "Dedekind zetafunctions, Dirichlet L-functions, Zero-counting formula",

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note = "Publisher Copyright: {\textcopyright} 2014 American Mathematical Society.",

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AB - This paper contains new explicit upper bounds for the number of zeroes of Dirichlet L-functions and Dedekind zeta-functions in rectangles.

KW - Dedekind zetafunctions

KW - Dirichlet L-functions

KW - Zero-counting formula

UR - https://www.scopus.com/pages/publications/84925250811

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DO - 10.1090/s0025-5718-2014-02898-6

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VL - 84

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EP - 1450

JO - Mathematics of Computation

JF - Mathematics of Computation

IS - 293

ER -

An improved upper bound for the error in the zero-counting formulae for Dirichlet L-functions and Dedekind zeta-functions

Abstract

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