---
_id: '214'
abstract:
- lang: eng
text: Given an absolutely irreducible ternary form F, the purpose of this paper
is to produce better upper bounds for the number of integer solutions to the equation
F=0, that are restricted to lie in very lopsided boxes. As an application of the
main result, a new paucity estimate is obtained for equal sums of two like powers.
author:
- first_name: Timothy D
full_name: Timothy Browning
id: 35827D50-F248-11E8-B48F-1D18A9856A87
last_name: Browning
orcid: 0000-0002-8314-0177
- first_name: Roger
full_name: Heath-Brown, Roger
last_name: Heath Brown
citation:
ama: Browning TD, Heath Brown R. Plane curves in boxes and equal sums of two powers.
Mathematische Zeitschrift. 2005;251(2):233-247. doi:10.1007/s00209-004-0719-z
apa: Browning, T. D., & Heath Brown, R. (2005). Plane curves in boxes and equal
sums of two powers. Mathematische Zeitschrift. Unknown. https://doi.org/10.1007/s00209-004-0719-z
chicago: Browning, Timothy D, and Roger Heath Brown. “Plane Curves in Boxes and
Equal Sums of Two Powers.” Mathematische Zeitschrift. Unknown, 2005. https://doi.org/10.1007/s00209-004-0719-z.
ieee: T. D. Browning and R. Heath Brown, “Plane curves in boxes and equal sums of
two powers,” Mathematische Zeitschrift, vol. 251, no. 2. Unknown, pp. 233–247,
2005.
ista: Browning TD, Heath Brown R. 2005. Plane curves in boxes and equal sums of
two powers. Mathematische Zeitschrift. 251(2), 233–247.
mla: Browning, Timothy D., and Roger Heath Brown. “Plane Curves in Boxes and Equal
Sums of Two Powers.” Mathematische Zeitschrift, vol. 251, no. 2, Unknown,
2005, pp. 233–47, doi:10.1007/s00209-004-0719-z.
short: T.D. Browning, R. Heath Brown, Mathematische Zeitschrift 251 (2005) 233–247.
date_created: 2018-12-11T11:45:15Z
date_published: 2005-09-01T00:00:00Z
date_updated: 2021-01-12T06:55:33Z
day: '01'
doi: 10.1007/s00209-004-0719-z
extern: 1
intvolume: ' 251'
issue: '2'
main_file_link:
- open_access: '1'
url: https://arxiv.org/abs/math/0506497
month: '09'
oa: 1
page: 233 - 247
publication: Mathematische Zeitschrift
publication_status: published
publisher: Unknown
publist_id: '7699'
quality_controlled: 0
status: public
title: Plane curves in boxes and equal sums of two powers
type: journal_article
volume: 251
year: '2005'
...