Counting rational points on diagonal quadratic surfaces

TD Browning

doi:10.1093/qjmath/54.1.11

Counting rational points on diagonal quadratic surfaces

TD Browning

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

2 Citations (Scopus)

Abstract

For any integral diagonal quaternary quadratic form Q, with square-free discriminant, we establish a uniform upper bound for the number of rational points of height at most B lying on the projective surface Q=0.

Translated title of the contribution	Counting rational points on diagonal quadratic surfaces
Original language	English
Pages (from-to)	11 - 31
Number of pages	21
Journal	Quarterly Journal of Mathematics
Volume	54 (1)
DOIs	https://doi.org/10.1093/qjmath/54.1.11
Publication status	Published - Mar 2003

Bibliographical note

Publisher: Oxford University Press
Other identifier: IDS Number: 655JG

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10.1093/qjmath/54.1.11

http://qjmath.oxfordjournals.org/cgi/reprint/54/1/11

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title = "Counting rational points on diagonal quadratic surfaces",

abstract = "For any integral diagonal quaternary quadratic form Q, with square-free discriminant, we establish a uniform upper bound for the number of rational points of height at most B lying on the projective surface Q=0.",

author = "TD Browning",

note = "Publisher: Oxford University Press Other identifier: IDS Number: 655JG",

year = "2003",

month = mar,

doi = "10.1093/qjmath/54.1.11",

language = "English",

volume = "54 (1)",

pages = "11 -- 31",

journal = "Quarterly Journal of Mathematics",

issn = "1464-3847",

publisher = "Oxford University Press",

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TY - JOUR

T1 - Counting rational points on diagonal quadratic surfaces

AU - Browning, TD

N1 - Publisher: Oxford University Press Other identifier: IDS Number: 655JG

PY - 2003/3

Y1 - 2003/3

N2 - For any integral diagonal quaternary quadratic form Q, with square-free discriminant, we establish a uniform upper bound for the number of rational points of height at most B lying on the projective surface Q=0.

AB - For any integral diagonal quaternary quadratic form Q, with square-free discriminant, we establish a uniform upper bound for the number of rational points of height at most B lying on the projective surface Q=0.

U2 - 10.1093/qjmath/54.1.11

DO - 10.1093/qjmath/54.1.11

M3 - Article (Academic Journal)

SN - 1464-3847

VL - 54 (1)

SP - 11

EP - 31

JO - Quarterly Journal of Mathematics

JF - Quarterly Journal of Mathematics

ER -

Counting rational points on diagonal quadratic surfaces

Abstract

Bibliographical note

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