On Kaneko congruences

dc.contributor.advisor Guerzhoy, Pavel
dc.contributor.author Chi, Mingjing
dc.date.accessioned 2013-02-06T20:13:58Z
dc.date.available 2013-02-06T20:13:58Z
dc.date.issued 2012
dc.description Plan B paper, M.A., Mathematics, University of Hawaii at Manoa, 2012
dc.description.abstract We 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.extent 20 pages
dc.identifier.uri http://hdl.handle.net/10125/25929
dc.language en-US
dc.publisher University of Hawaii at Manoa
dc.rights All 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.title On Kaneko congruences
dc.type Master's project
dc.type.dcmi Text
local.thesis.degreelevel Masters
local.thesis.department Mathematics
local.thesis.mastertype Plan B
Original bundle
Now showing 1 - 1 of 1
No Thumbnail Available
346.31 KB
Adobe Portable Document Format