SPARSE VARIANCE FOR PRIMES IN ARITHMETIC PROGRESSION

J. Bruedern; T. D. Wooley

doi:10.1093/qmath/hap029

SPARSE VARIANCE FOR PRIMES IN ARITHMETIC PROGRESSION

J. Bruedern
, T. D. Wooley^*

^*Corresponding author for this work

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

7 Citations (Scopus)

Abstract

An analogue of the Montgomery-Hooley asymptotic formula is established for the variance of the number of primes in arithmetic progressions, in which the moduli are restricted to the values of a polynomial.

Original language	English
Pages (from-to)	289-305
Number of pages	17
Journal	Quarterly Journal of Mathematics
Volume	62
Issue number	2
DOIs	https://doi.org/10.1093/qmath/hap029
Publication status	Published - Jun 2011

Keywords

DAVENPORT-HALBERSTAM THEOREM
SEQUENCES

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title = "SPARSE VARIANCE FOR PRIMES IN ARITHMETIC PROGRESSION",

abstract = "An analogue of the Montgomery-Hooley asymptotic formula is established for the variance of the number of primes in arithmetic progressions, in which the moduli are restricted to the values of a polynomial.",

keywords = "DAVENPORT-HALBERSTAM THEOREM, SEQUENCES",

author = "J. Bruedern and Wooley, \{T. D.\}",

year = "2011",

month = jun,

doi = "10.1093/qmath/hap029",

language = "English",

volume = "62",

pages = "289--305",

journal = "Quarterly Journal of Mathematics",

issn = "0033-5606",

publisher = "Oxford University Press",

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T1 - SPARSE VARIANCE FOR PRIMES IN ARITHMETIC PROGRESSION

AU - Bruedern, J.

AU - Wooley, T. D.

PY - 2011/6

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N2 - An analogue of the Montgomery-Hooley asymptotic formula is established for the variance of the number of primes in arithmetic progressions, in which the moduli are restricted to the values of a polynomial.

AB - An analogue of the Montgomery-Hooley asymptotic formula is established for the variance of the number of primes in arithmetic progressions, in which the moduli are restricted to the values of a polynomial.

KW - DAVENPORT-HALBERSTAM THEOREM

KW - SEQUENCES

U2 - 10.1093/qmath/hap029

DO - 10.1093/qmath/hap029

M3 - Article (Academic Journal)

SN - 0033-5606

VL - 62

SP - 289

EP - 305

JO - Quarterly Journal of Mathematics

JF - Quarterly Journal of Mathematics

IS - 2

ER -

SPARSE VARIANCE FOR PRIMES IN ARITHMETIC PROGRESSION

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Keywords

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