Construction of some special subsequences within a Farey sequence

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dc.creatorBasu-Mallick, B.
dc.creatorBhattacharyya, Tanaya
dc.creatorSen, Diptiman
dc.date2003-12-09
dc.date.accessioned2026-07-07T04:30:47Z
dc.date.available2026-07-07T04:30:47Z
dc.descriptionRecently it has been found that some special subsequences within a Farey sequence play a crucial role in determining the ranges of coupling constant for which quantum soliton states can exist for an integrable derivative nonlinear Schrodinger model. In this article, we find a novel mapping which connects two such subsequences belonging to Farey sequences of different orders. By using this mapping, we construct an algorithm to generate all of these special subsequences within a Farey sequence. We also derive the continued fraction expansions for all the elements belonging to a subsequence and observe a close connection amongst the corresponding expansion coefficients.
dc.descriptionlatex, 8 pages
dc.identifierhttps://arxiv.org/abs/math-ph/0312021
dc.identifierhttp://arxiv.org/abs/math-ph/0312021
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/57591
dc.subjectMathematical Physics
dc.subjectHigh Energy Physics - Theory
dc.subjectNumber Theory
dc.subjectExactly Solvable and Integrable Systems
dc.titleConstruction of some special subsequences within a Farey sequence
dc.typetext

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