---
_id: '17475'
abstract:
- lang: eng
  text: "As a discrete analogue of Kac’s celebrated question on ‘hearing the shape
    of a drum’ and towards a practical\r\ngraph isomorphism test, it is of interest
    to understand which graphs are determined up to isomorphism by\r\ntheir spectrum
    (of their adjacency matrix). A striking conjecture in this area, due to van Dam
    and Haemers,\r\nis that ‘almost all graphs are determined by their spectrum’,
    meaning that the fraction of unlabelled n-vertex\r\ngraphs which are determined
    by their spectrum converges to 1 as n → ∞.\r\nIn this paper, we make a step towards
    this conjecture, showing that there are exponentially many n-vertex\r\ngraphs
    which are determined by their spectrum. This improves on previous bounds (of shape
    e\r\nc\r\n√\r\nn\r\n). We also\r\npropose a number of further directions of research.\r\n"
acknowledgement: Matthew Kwan was supported by ERC Starting Grant ‘RANDSTRUCT’ No.
  101076777.
article_processing_charge: Yes (via OA deal)
article_type: original
arxiv: 1
author:
- first_name: Illya
  full_name: Koval, Illya
  id: 2eed1f3b-896a-11ed-bdf8-93c7c4bf159e
  last_name: Koval
- first_name: Matthew Alan
  full_name: Kwan, Matthew Alan
  id: 5fca0887-a1db-11eb-95d1-ca9d5e0453b3
  last_name: Kwan
  orcid: 0000-0002-4003-7567
citation:
  ama: Koval I, Kwan MA. Exponentially many graphs are determined by their spectrum.
    <i>Quarterly Journal of Mathematics</i>. 2024;75(3):869-899. doi:<a href="https://doi.org/10.1093/qmath/haae030">10.1093/qmath/haae030</a>
  apa: Koval, I., &#38; Kwan, M. A. (2024). Exponentially many graphs are determined
    by their spectrum. <i>Quarterly Journal of Mathematics</i>. Oxford University
    Press. <a href="https://doi.org/10.1093/qmath/haae030">https://doi.org/10.1093/qmath/haae030</a>
  chicago: Koval, Illya, and Matthew Alan Kwan. “Exponentially Many Graphs Are Determined
    by Their Spectrum.” <i>Quarterly Journal of Mathematics</i>. Oxford University
    Press, 2024. <a href="https://doi.org/10.1093/qmath/haae030">https://doi.org/10.1093/qmath/haae030</a>.
  ieee: I. Koval and M. A. Kwan, “Exponentially many graphs are determined by their
    spectrum,” <i>Quarterly Journal of Mathematics</i>, vol. 75, no. 3. Oxford University
    Press, pp. 869–899, 2024.
  ista: Koval I, Kwan MA. 2024. Exponentially many graphs are determined by their
    spectrum. Quarterly Journal of Mathematics. 75(3), 869–899.
  mla: Koval, Illya, and Matthew Alan Kwan. “Exponentially Many Graphs Are Determined
    by Their Spectrum.” <i>Quarterly Journal of Mathematics</i>, vol. 75, no. 3, Oxford
    University Press, 2024, pp. 869–99, doi:<a href="https://doi.org/10.1093/qmath/haae030">10.1093/qmath/haae030</a>.
  short: I. Koval, M.A. Kwan, Quarterly Journal of Mathematics 75 (2024) 869–899.
corr_author: '1'
date_created: 2024-09-01T22:01:07Z
date_published: 2024-06-19T00:00:00Z
date_updated: 2025-09-08T09:09:41Z
day: '19'
ddc:
- '500'
department:
- _id: MaKw
- _id: VaKa
doi: 10.1093/qmath/haae030
external_id:
  arxiv:
  - '2309.09788'
  isi:
  - '001249741500001'
file:
- access_level: open_access
  checksum: abf200d37ad69e6f2c0750a30296ad97
  content_type: application/pdf
  creator: cchlebak
  date_created: 2024-09-06T12:23:57Z
  date_updated: 2024-09-06T12:23:57Z
  file_id: '17851'
  file_name: 2024_QuJofMath_Koval.pdf
  file_size: 946411
  relation: main_file
  success: 1
file_date_updated: 2024-09-06T12:23:57Z
fulldoi: https://doi.org/10.1093/qmath/haae030
has_accepted_license: '1'
intvolume: '        75'
isi: 1
issue: '3'
language:
- iso: eng
month: '06'
oa: 1
oa_version: Published Version
page: 869-899
project:
- _id: bd95085b-d553-11ed-ba76-e55d3349be45
  grant_number: '101076777'
  name: Randomness and structure in combinatorics
publication: Quarterly Journal of Mathematics
publication_identifier:
  eissn:
  - 1464-3847
  issn:
  - 0033-5606
publication_status: published
publisher: Oxford University Press
quality_controlled: '1'
scopus_import: '1'
status: public
title: Exponentially many graphs are determined by their spectrum
tmp:
  image: /images/cc_by.png
  legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
  name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
  short: CC BY (4.0)
type: journal_article
user_id: 317138e5-6ab7-11ef-aa6d-ffef3953e345
volume: 75
year: '2024'
...
---
OA_place: publisher
OA_type: hybrid
PlanS_conform: '1'
_id: '18930'
abstract:
- lang: eng
  text: "We study sumsets \U0001D49C + ℬ in the set of squares \U0001D4AE (and, more
    generally, in the set of kth powers \U0001D4AEk, where k ≥2 is an integer). It
    is known by a result of Gyarmati that \U0001D49C + ℬ ⊂ \U0001D4AEk ∩[1,N] implies
    that min(|\U0001D49C|,|ℬ|) =Ok(logN). Here, we study how the upper bound on |ℬ|
    decreases, when the size of |\U0001D49C| increases (or vice versa). In particular,
    if |\U0001D49C| ≥ Ck1m m(logN)1m , then |ℬ| = Ok(m2logN), for sufficiently large
    N, a positive integer m and an explicit constant C > 0. For example, with m ∼
    loglogN this gives: If |\U0001D49C| ≥ CkloglogN,then |ℬ| = Ok(logN(loglogN)2)."
acknowledgement: This manuscript grew out of the second author’s MSc Thesis at Graz
  University of Technology [34]. C. Elsholtz is supported by a joint FWF-ANR project
  ArithRand, grant numbers FWF I 4945-N and ANR-20-CE91-0006. Both authors would like
  to thank Igor Shparlinski for drawing our attention to related character sum estimates.
  Furthermore, we would like to thank the referee for a careful reading of the paper.
article_processing_charge: Yes (via OA deal)
article_type: original
author:
- first_name: Christian
  full_name: Elsholtz, Christian
  last_name: Elsholtz
- first_name: Lena
  full_name: Wurzinger, Lena
  id: 50c57d72-32a8-11ee-aeea-d652094d2ccd
  last_name: Wurzinger
  orcid: 0009-0004-5360-0074
citation:
  ama: Elsholtz C, Wurzinger L. Sumsets in the set of squares. <i>The Quarterly Journal
    of Mathematics</i>. 2024;75(4):1243-1254. doi:<a href="https://doi.org/10.1093/qmath/haae044">10.1093/qmath/haae044</a>
  apa: Elsholtz, C., &#38; Wurzinger, L. (2024). Sumsets in the set of squares. <i>The
    Quarterly Journal of Mathematics</i>. Oxford University Press. <a href="https://doi.org/10.1093/qmath/haae044">https://doi.org/10.1093/qmath/haae044</a>
  chicago: Elsholtz, Christian, and Lena Wurzinger. “Sumsets in the Set of Squares.”
    <i>The Quarterly Journal of Mathematics</i>. Oxford University Press, 2024. <a
    href="https://doi.org/10.1093/qmath/haae044">https://doi.org/10.1093/qmath/haae044</a>.
  ieee: C. Elsholtz and L. Wurzinger, “Sumsets in the set of squares,” <i>The Quarterly
    Journal of Mathematics</i>, vol. 75, no. 4. Oxford University Press, pp. 1243–1254,
    2024.
  ista: Elsholtz C, Wurzinger L. 2024. Sumsets in the set of squares. The Quarterly
    Journal of Mathematics. 75(4), 1243–1254.
  mla: Elsholtz, Christian, and Lena Wurzinger. “Sumsets in the Set of Squares.” <i>The
    Quarterly Journal of Mathematics</i>, vol. 75, no. 4, Oxford University Press,
    2024, pp. 1243–54, doi:<a href="https://doi.org/10.1093/qmath/haae044">10.1093/qmath/haae044</a>.
  short: C. Elsholtz, L. Wurzinger, The Quarterly Journal of Mathematics 75 (2024)
    1243–1254.
corr_author: '1'
das_tickbox: '0'
date_created: 2025-01-28T06:55:31Z
date_published: 2024-12-01T00:00:00Z
date_updated: 2026-07-29T09:58:28Z
day: '01'
ddc:
- '510'
department:
- _id: TiBr
doi: 10.1093/qmath/haae044
external_id:
  isi:
  - '001304396600001'
file:
- access_level: open_access
  checksum: 1a06e052761d3f1e873463d6f529dd82
  content_type: application/pdf
  creator: dernst
  date_created: 2025-01-28T07:03:51Z
  date_updated: 2025-01-28T07:03:51Z
  file_id: '18931'
  file_name: 2024_QuarterlyJourMath_Elsholtz.pdf
  file_size: 424645
  relation: main_file
  success: 1
file_date_updated: 2025-01-28T07:03:51Z
fulldoi: https://doi.org/10.1093/qmath/haae044
has_accepted_license: '1'
intvolume: '        75'
isi: 1
issue: '4'
language:
- iso: eng
month: '12'
oa: 1
oa_version: Published Version
page: 1243-1254
publication: The Quarterly Journal of Mathematics
publication_identifier:
  eissn:
  - 1464-3847
  issn:
  - 0033-5606
publication_status: published
publisher: Oxford University Press
quality_controlled: '1'
researchdata_availability: no
scopus_import: '1'
status: public
supplementarymaterial: no
title: Sumsets in the set of squares
tmp:
  image: /images/cc_by.png
  legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
  name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
  short: CC BY (4.0)
type: journal_article
user_id: 317138e5-6ab7-11ef-aa6d-ffef3953e345
volume: 75
year: '2024'
...
---
OA_place: repository
OA_type: green
_id: '22192'
abstract:
- lang: eng
  text: "In 1976, Gallagher showed that the Hardy–Littlewood conjectures on prime
    k-tuples imply that the\r\ndistribution of primes in log-size intervals is Poissonian.
    He did so by computing average values\r\nof the singular series constants over
    different sets of a fixed size k contained in an interval [1,h]\r\nas h → ∞, and
    then using this average to compute moments of the distribution of primes. In this\r\npaper,
    we study averages where k is relatively large with respect to h. We then apply
    these averages\r\nto the tail of the distribution. For example, we show, assuming
    appropriate Hardy–Littlewood\r\nconjectures and in certain ranges of the parameters,
    the number of intervals [n,n + λlogx] with\r\nn ≤ x containing at least k primes
    is ≪ x exp(−k/(λe))."
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Vivian Zieve
  full_name: Kuperberg, Vivian Zieve
  id: c3bac823-112d-11f0-a3f5-c264f852e697
  last_name: Kuperberg
citation:
  ama: Kuperberg VZ. Sums of singular series with large sets and the tail of the distribution
    of primes. <i>The Quarterly Journal of Mathematics</i>. 2023;74(4):1457-1479.
    doi:<a href="https://doi.org/10.1093/qmath/haad030">10.1093/qmath/haad030</a>
  apa: Kuperberg, V. Z. (2023). Sums of singular series with large sets and the tail
    of the distribution of primes. <i>The Quarterly Journal of Mathematics</i>. Oxford
    University Press. <a href="https://doi.org/10.1093/qmath/haad030">https://doi.org/10.1093/qmath/haad030</a>
  chicago: Kuperberg, Vivian Zieve. “Sums of Singular Series with Large Sets and the
    Tail of the Distribution of Primes.” <i>The Quarterly Journal of Mathematics</i>.
    Oxford University Press, 2023. <a href="https://doi.org/10.1093/qmath/haad030">https://doi.org/10.1093/qmath/haad030</a>.
  ieee: V. Z. Kuperberg, “Sums of singular series with large sets and the tail of the
    distribution of primes,” <i>The Quarterly Journal of Mathematics</i>, vol. 74,
    no. 4. Oxford University Press, pp. 1457–1479, 2023.
  ista: Kuperberg VZ. 2023. Sums of singular series with large sets and the tail of the
    distribution of primes. The Quarterly Journal of Mathematics. 74(4), 1457–1479.
  mla: Kuperberg, Vivian Zieve. “Sums of Singular Series with Large Sets and the Tail
    of the Distribution of Primes.” <i>The Quarterly Journal of Mathematics</i>, vol.
    74, no. 4, Oxford University Press, 2023, pp. 1457–79, doi:<a href="https://doi.org/10.1093/qmath/haad030">10.1093/qmath/haad030</a>.
  short: V.Z. Kuperberg, The Quarterly Journal of Mathematics 74 (2023) 1457–1479.
date_created: 2026-06-29T12:56:30Z
date_published: 2023-12-01T00:00:00Z
date_updated: 2026-07-14T10:55:52Z
day: '01'
doi: 10.1093/qmath/haad030
extern: '1'
external_id:
  arxiv:
  - '2210.09775'
fulldoi: https://doi.org/10.1093/qmath/haad030
intvolume: '        74'
issue: '4'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://doi.org/10.48550/arXiv.2210.09775
month: '12'
oa: 1
oa_version: Preprint
page: 1457-1479
publication: The Quarterly Journal of Mathematics
publication_identifier:
  eissn:
  - 1464-3847
  issn:
  - 0033-5606
publication_status: published
publisher: Oxford University Press
quality_controlled: '1'
scopus_import: '1'
status: public
title: Sums of singular series with large sets and the tail of the distribution of primes
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 74
year: '2023'
...
---
_id: '14717'
abstract:
- lang: eng
  text: We count primitive lattices of rank d inside Zn as their covolume tends to
    infinity, with respect to certain parameters of such lattices. These parameters
    include, for example, the subspace that a lattice spans, namely its projection
    to the Grassmannian; its homothety class and its equivalence class modulo rescaling
    and rotation, often referred to as a shape. We add to a prior work of Schmidt
    by allowing sets in the spaces of parameters that are general enough to conclude
    the joint equidistribution of these parameters. In addition to the primitive d-lattices
    Λ themselves, we also consider their orthogonal complements in Zn⁠, A1⁠, and show
    that the equidistribution occurs jointly for Λ and A1⁠. Finally, our asymptotic
    formulas for the number of primitive lattices include an explicit bound on the
    error term.
acknowledgement: This work was done when both authors were visiting Institute of Science
  and Technology (IST) Austria. T.H. was being supported by Engineering and Physical
  Sciences Research Council grant EP/P026710/1. Y.K. had a great time there and is
  grateful for the hospitality. The appendix to this paper is largely based on a mini
  course T.H. had given at IST in February 2020.
article_processing_charge: Yes (via OA deal)
article_type: original
arxiv: 1
author:
- first_name: Tal
  full_name: Horesh, Tal
  id: C8B7BF48-8D81-11E9-BCA9-F536E6697425
  last_name: Horesh
- first_name: Yakov
  full_name: Karasik, Yakov
  last_name: Karasik
citation:
  ama: Horesh T, Karasik Y. Equidistribution of primitive lattices in ℝn. <i>Quarterly
    Journal of Mathematics</i>. 2023;74(4):1253-1294. doi:<a href="https://doi.org/10.1093/qmath/haad008">10.1093/qmath/haad008</a>
  apa: Horesh, T., &#38; Karasik, Y. (2023). Equidistribution of primitive lattices
    in ℝn. <i>Quarterly Journal of Mathematics</i>. Oxford University Press. <a href="https://doi.org/10.1093/qmath/haad008">https://doi.org/10.1093/qmath/haad008</a>
  chicago: Horesh, Tal, and Yakov Karasik. “Equidistribution of Primitive Lattices
    in ℝn.” <i>Quarterly Journal of Mathematics</i>. Oxford University Press, 2023.
    <a href="https://doi.org/10.1093/qmath/haad008">https://doi.org/10.1093/qmath/haad008</a>.
  ieee: T. Horesh and Y. Karasik, “Equidistribution of primitive lattices in ℝn,”
    <i>Quarterly Journal of Mathematics</i>, vol. 74, no. 4. Oxford University Press,
    pp. 1253–1294, 2023.
  ista: Horesh T, Karasik Y. 2023. Equidistribution of primitive lattices in ℝn. Quarterly
    Journal of Mathematics. 74(4), 1253–1294.
  mla: Horesh, Tal, and Yakov Karasik. “Equidistribution of Primitive Lattices in
    ℝn.” <i>Quarterly Journal of Mathematics</i>, vol. 74, no. 4, Oxford University
    Press, 2023, pp. 1253–94, doi:<a href="https://doi.org/10.1093/qmath/haad008">10.1093/qmath/haad008</a>.
  short: T. Horesh, Y. Karasik, Quarterly Journal of Mathematics 74 (2023) 1253–1294.
corr_author: '1'
das_tickbox: '0'
date_created: 2023-12-31T23:01:03Z
date_published: 2023-12-01T00:00:00Z
date_updated: 2026-07-29T10:22:09Z
day: '01'
ddc:
- '510'
department:
- _id: TiBr
doi: 10.1093/qmath/haad008
external_id:
  arxiv:
  - '2012.04508'
  isi:
  - '001005945400001'
file:
- access_level: open_access
  checksum: bf29baa9eae8500f3374dbcb80712687
  content_type: application/pdf
  creator: dernst
  date_created: 2024-01-02T07:37:09Z
  date_updated: 2024-01-02T07:37:09Z
  file_id: '14720'
  file_name: 2023_QuarterlyJourMath_Horesh.pdf
  file_size: 724748
  relation: main_file
  success: 1
file_date_updated: 2024-01-02T07:37:09Z
fulldoi: https://doi.org/10.1093/qmath/haad008
has_accepted_license: '1'
intvolume: '        74'
isi: 1
issue: '4'
language:
- iso: eng
month: '12'
oa: 1
oa_version: Published Version
page: 1253-1294
project:
- _id: 26A8D266-B435-11E9-9278-68D0E5697425
  grant_number: EP-P026710-2
  name: Between rational and integral points
publication: Quarterly Journal of Mathematics
publication_identifier:
  eissn:
  - 1464-3847
  issn:
  - 0033-5606
publication_status: published
publisher: Oxford University Press
quality_controlled: '1'
researchdata_availability: no
scopus_import: '1'
status: public
supplementarymaterial: no
title: Equidistribution of primitive lattices in ℝn
tmp:
  image: /images/cc_by.png
  legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
  name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
  short: CC BY (4.0)
type: journal_article
user_id: 317138e5-6ab7-11ef-aa6d-ffef3953e345
volume: 74
year: '2023'
...
---
OA_type: closed access
_id: '206'
abstract:
- lang: eng
  text: Let T ⊂ ℙ 4 be a non-singular threefold of degree at least four. Then we show
    that the number of points in T(ℚ), with height at most B, is o(B 3) or B → ∞.
article_processing_charge: No
article_type: original
author:
- first_name: Timothy D
  full_name: Browning, Timothy D
  id: 35827D50-F248-11E8-B48F-1D18A9856A87
  last_name: Browning
  orcid: 0000-0002-8314-0177
citation:
  ama: Browning TD. A note on the distribution of rational points on threefolds. <i>Quarterly
    Journal of Mathematics</i>. 2003;54(1):33-39. doi:<a href="https://doi.org/10.1093/qjmath/54.1.33">10.1093/qjmath/54.1.33</a>
  apa: Browning, T. D. (2003). A note on the distribution of rational points on threefolds.
    <i>Quarterly Journal of Mathematics</i>. Unknown. <a href="https://doi.org/10.1093/qjmath/54.1.33">https://doi.org/10.1093/qjmath/54.1.33</a>
  chicago: Browning, Timothy D. “A Note on the Distribution of Rational Points on
    Threefolds.” <i>Quarterly Journal of Mathematics</i>. Unknown, 2003. <a href="https://doi.org/10.1093/qjmath/54.1.33">https://doi.org/10.1093/qjmath/54.1.33</a>.
  ieee: T. D. Browning, “A note on the distribution of rational points on threefolds,”
    <i>Quarterly Journal of Mathematics</i>, vol. 54, no. 1. Unknown, pp. 33–39, 2003.
  ista: Browning TD. 2003. A note on the distribution of rational points on threefolds.
    Quarterly Journal of Mathematics. 54(1), 33–39.
  mla: Browning, Timothy D. “A Note on the Distribution of Rational Points on Threefolds.”
    <i>Quarterly Journal of Mathematics</i>, vol. 54, no. 1, Unknown, 2003, pp. 33–39,
    doi:<a href="https://doi.org/10.1093/qjmath/54.1.33">10.1093/qjmath/54.1.33</a>.
  short: T.D. Browning, Quarterly Journal of Mathematics 54 (2003) 33–39.
date_created: 2018-12-11T11:45:12Z
date_published: 2003-03-01T00:00:00Z
date_updated: 2026-05-29T07:14:27Z
day: '01'
doi: 10.1093/qjmath/54.1.33
extern: '1'
fulldoi: https://doi.org/10.1093/qjmath/54.1.33
intvolume: '        54'
issue: '1'
language:
- iso: eng
month: '03'
oa_version: None
page: 33 - 39
publication: Quarterly Journal of Mathematics
publication_identifier:
  eissn:
  - 1464-3847
  issn:
  - 0033-5606
publication_status: published
publisher: Unknown
publist_id: '7706'
quality_controlled: '1'
scopus_import: '1'
status: public
title: A note on the distribution of rational points on threefolds
type: journal_article
user_id: ba8df636-2132-11f1-aed0-ed93e2281fdd
volume: 54
year: '2003'
...
---
OA_type: closed access
_id: '208'
abstract:
- lang: eng
  text: "For any ε > 0 and any diagonal quadratic form Q ∈ Z[x1, x2, x3, x4] with
    a square‐free discriminant of modulus ΔQ ≠ 0, we establish the uniform estimate
    ≪ε B3/2+ε + B2+ε/Δ1/6Q for the number of rational points of height at most B lying
    in the projective surface Q = 0.\r\n\r\n"
article_processing_charge: No
article_type: original
author:
- first_name: Timothy D
  full_name: Browning, Timothy D
  id: 35827D50-F248-11E8-B48F-1D18A9856A87
  last_name: Browning
  orcid: 0000-0002-8314-0177
citation:
  ama: Browning TD. Counting rational points on diagonal quadratic surfaces. <i>Quarterly
    Journal of Mathematics</i>. 2003;54(1):11-31. doi:<a href="https://doi.org/doi/10.1093/qjmath/54.1.11">doi/10.1093/qjmath/54.1.11</a>
  apa: Browning, T. D. (2003). Counting rational points on diagonal quadratic surfaces.
    <i>Quarterly Journal of Mathematics</i>. Oxford Academic. <a href="https://doi.org/doi/10.1093/qjmath/54.1.11">https://doi.org/doi/10.1093/qjmath/54.1.11</a>
  chicago: Browning, Timothy D. “Counting Rational Points on Diagonal Quadratic Surfaces.”
    <i>Quarterly Journal of Mathematics</i>. Oxford Academic, 2003. <a href="https://doi.org/doi/10.1093/qjmath/54.1.11">https://doi.org/doi/10.1093/qjmath/54.1.11</a>.
  ieee: T. D. Browning, “Counting rational points on diagonal quadratic surfaces,”
    <i>Quarterly Journal of Mathematics</i>, vol. 54, no. 1. Oxford Academic, pp.
    11–31, 2003.
  ista: Browning TD. 2003. Counting rational points on diagonal quadratic surfaces.
    Quarterly Journal of Mathematics. 54(1), 11–31.
  mla: Browning, Timothy D. “Counting Rational Points on Diagonal Quadratic Surfaces.”
    <i>Quarterly Journal of Mathematics</i>, vol. 54, no. 1, Oxford Academic, 2003,
    pp. 11–31, doi:<a href="https://doi.org/doi/10.1093/qjmath/54.1.11">doi/10.1093/qjmath/54.1.11</a>.
  short: T.D. Browning, Quarterly Journal of Mathematics 54 (2003) 11–31.
date_created: 2018-12-11T11:45:13Z
date_published: 2003-03-01T00:00:00Z
date_updated: 2026-05-29T07:10:52Z
day: '01'
doi: doi/10.1093/qjmath/54.1.11
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intvolume: '        54'
issue: '1'
language:
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month: '03'
oa_version: None
page: 11 - 31
publication: Quarterly Journal of Mathematics
publication_identifier:
  eissn:
  - 1464-3847
  issn:
  - 0033-5606
publication_status: published
publisher: Oxford Academic
publist_id: '7705'
quality_controlled: '1'
scopus_import: '1'
status: public
title: Counting rational points on diagonal quadratic surfaces
type: journal_article
user_id: ba8df636-2132-11f1-aed0-ed93e2281fdd
volume: 54
year: '2003'
...