Lattice points on circles, squares in arithmetic progressions and sumsets of squares

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dc.creatorCilleruelo, Javier
dc.creatorGranville, Andrew
dc.date2006-08-03
dc.date.accessioned2026-07-07T07:21:23Z
dc.date.available2026-07-07T07:21:23Z
dc.descriptionRudin 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.
dc.description21 pages, preliminary version. Comments welcome
dc.identifierhttps://arxiv.org/abs/math/0608109
dc.identifierhttp://arxiv.org/abs/math/0608109
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/115285
dc.subjectNumber Theory
dc.subjectClassical Analysis and ODEs
dc.subject11N64
dc.titleLattice points on circles, squares in arithmetic progressions and sumsets of squares
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