Explicit Upper Bounds for |L(1, χ)| when χ(3)=0

David J. Platt; Sumaia Saad Eddin

doi:10.4064/cm133-1-2

Explicit Upper Bounds for |L(1, χ)| when χ(3)=0

David J. Platt^*, Sumaia Saad Eddin

^*Corresponding author for this work

Research output: Contribution to journal › Article (Academic Journal) › peer-review

7 Citations (Scopus)

Abstract

Let chi be a primitive Dirichlet character of conductor q and denote by L(z, chi) the associated L-series. We provide an explicit upper bound for vertical bar L(1, chi)vertical bar when 3 divides q.

Original language	English
Article number	MR3139413
Pages (from-to)	23-34
Number of pages	12
Journal	Colloquium mathematicum
Volume	133
Issue number	1
DOIs	https://doi.org/10.4064/cm133-1-2
Publication status	Published - 14 Nov 2013

Keywords

Dirichlet characters
Dirichlet L-function
Gauss sums
VERTICAL-BAR-L(1,CHI)VERTICAL-BAR
CHARACTERS

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title = "Explicit Upper Bounds for |L(1, χ)| when χ(3)=0",

abstract = "Let chi be a primitive Dirichlet character of conductor q and denote by L(z, chi) the associated L-series. We provide an explicit upper bound for vertical bar L(1, chi)vertical bar when 3 divides q.",

keywords = "Dirichlet characters, Dirichlet L-function, Gauss sums, VERTICAL-BAR-L(1,CHI)VERTICAL-BAR, CHARACTERS",

author = "Platt, {David J.} and {Saad Eddin}, Sumaia",

year = "2013",

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doi = "10.4064/cm133-1-2",

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T1 - Explicit Upper Bounds for |L(1, χ)| when χ(3)=0

AU - Platt, David J.

AU - Saad Eddin, Sumaia

PY - 2013/11/14

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N2 - Let chi be a primitive Dirichlet character of conductor q and denote by L(z, chi) the associated L-series. We provide an explicit upper bound for vertical bar L(1, chi)vertical bar when 3 divides q.

AB - Let chi be a primitive Dirichlet character of conductor q and denote by L(z, chi) the associated L-series. We provide an explicit upper bound for vertical bar L(1, chi)vertical bar when 3 divides q.

KW - Dirichlet characters

KW - Dirichlet L-function

KW - Gauss sums

KW - VERTICAL-BAR-L(1,CHI)VERTICAL-BAR

KW - CHARACTERS

U2 - 10.4064/cm133-1-2

DO - 10.4064/cm133-1-2

M3 - Article (Academic Journal)

VL - 133

SP - 23

EP - 34

JO - Colloquium mathematicum

JF - Colloquium mathematicum

SN - 0010-1354

IS - 1

M1 - MR3139413

ER -

Explicit Upper Bounds for |L(1, χ)| when χ(3)=0

Abstract

Keywords

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