On Kaneko congruences

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dc.contributor.advisorGuerzhoy, Pavel
dc.contributor.authorChi, Mingjing
dc.date.accessioned2013-02-06T20:13:58Z
dc.date.available2013-02-06T20:13:58Z
dc.date.issued2012
dc.descriptionPlan B paper, M.A., Mathematics, University of Hawaii at Manoa, 2012
dc.description.abstractWe present a proof of certain congruences modulo powers of an odd prime for the coefficients of a series produced by repeated application of U -operator to a certain weakly holomorphic modular form. This kind of congruences were first observed by Kaneko as a result of numerical experiments, and later proved in a different (but similar) case by Guerzhoy [6]. It is interesting to note that, in our case, the congruences become different, both experimentally and theoretically, depending on whether the prime is congruent to 1 or 3 modulo 4.
dc.format.extent20 pages
dc.identifier.urihttp://hdl.handle.net/10125/25929
dc.languageen-US
dc.publisherUniversity of Hawaii at Manoa
dc.rightsAll UHM dissertations and theses are protected by copyright. They may be viewed from this source for any purpose, but reproduction or distribution in any format is prohibited without written permission from the copyright owner.
dc.titleOn Kaneko congruences
dc.typeMaster's project
dc.type.dcmiText
local.thesis.degreelevelMasters
local.thesis.departmentMathematics
local.thesis.mastertypePlan B

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