Please use this identifier to cite or link to this item:
https://doi.org/10.1007/s00209-003-0573-4
DC Field | Value | |
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dc.title | On differential equations satisfied by modular forms | |
dc.contributor.author | Yang, Y. | |
dc.date.accessioned | 2016-11-28T10:20:28Z | |
dc.date.available | 2016-11-28T10:20:28Z | |
dc.date.issued | 2004-01 | |
dc.identifier.citation | Yang, Y. (2004-01). On differential equations satisfied by modular forms. Mathematische Zeitschrift 246 (1-2) : 1-19. ScholarBank@NUS Repository. https://doi.org/10.1007/s00209-003-0573-4 | |
dc.identifier.issn | 00255874 | |
dc.identifier.uri | http://scholarbank.nus.edu.sg/handle/10635/131458 | |
dc.description.abstract | We use the theory of modular functions to give a new proof of a result of P. F. Stiller, which asserts that, if t is a non-constant meromorphic modular function of weight 0 and F is a meromorphic modular form of weight k with respect to a discrete subgroup of SL2(ℝ) commensurable with SL2(ℤ), then F, as a function of t, satisfies a (k + 1)-st order linear differential equation with algebraic functions of t as coefficients. Furthermore, we show that the Schwarzian differential equation for the modular function t can be extracted from any given (k + 1)-st order linear differential equation of this type. One advantage of our approach is that every coefficient in the differential equations can be relatively easily determined. | |
dc.description.uri | http://libproxy1.nus.edu.sg/login?url=http://dx.doi.org/10.1007/s00209-003-0573-4 | |
dc.source | Scopus | |
dc.type | Article | |
dc.contributor.department | MATHEMATICS | |
dc.description.doi | 10.1007/s00209-003-0573-4 | |
dc.description.sourcetitle | Mathematische Zeitschrift | |
dc.description.volume | 246 | |
dc.description.issue | 1-2 | |
dc.description.page | 1-19 | |
dc.identifier.isiut | 000187291700001 | |
Appears in Collections: | Staff Publications |
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