Cilleruelo, J;
Granville, A;
(2007)
Lattice points on circles, squares in arithmetic progressions and sumsets of squares.
[Lecture].
In:
Additive Combinatorics.
(pp. pp. 241-262).
AMS
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Abstract
Rudin conjectured that there are never more than c N^(1/2) squares in an arithmetic progression of length N. Motivated by this surprisingly difficult problem we formulate more than twenty conjectures in harmonic analysis, analytic number theory, arithmetic geometry, discrete geometry and additive combinatorics (some old and some new) which each, if true, would shed light on Rudin's conjecture.
| Type: | Proceedings paper |
|---|---|
| Title: | Lattice points on circles, squares in arithmetic progressions and sumsets of squares |
| ISBN-13: | 978-0-8218-4351-2 |
| Open access status: | An open access version is available from UCL Discovery |
| Publisher version: | http://bookstore.ams.org/crmp-43/ |
| Language: | English |
| Additional information: | This version is the author accepted manuscript. For information on re-use, please refer to the publisher’s terms and conditions. |
| Keywords: | math.NT, math.NT, math.CA, 11N64 |
| UCL classification: | UCL UCL > Provost and Vice Provost Offices > UCL BEAMS UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences |
| URI: | https://discovery.ucl.ac.uk/id/eprint/1474432 |
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