DC Field | Value | Language |
---|---|---|
dc.contributor.author | Hong, KJ | ko |
dc.contributor.author | Koo, JaKyung | ko |
dc.date.accessioned | 2013-03-02T15:47:16Z | - |
dc.date.available | 2013-03-02T15:47:16Z | - |
dc.date.created | 2012-02-06 | - |
dc.date.created | 2012-02-06 | - |
dc.date.issued | 1999-05 | - |
dc.identifier.citation | JOURNAL OF PURE AND APPLIED ALGEBRA, v.138, no.3, pp.229 - 238 | - |
dc.identifier.issn | 0022-4049 | - |
dc.identifier.uri | http://hdl.handle.net/10203/74252 | - |
dc.description.abstract | Let Q(n, 1) be the set of even unimodular positive definite integral quadratic forms in n-variables. Then n is divisible by 8. For A[x] in Q(n, 1), the theta series -(A)(z):=Sigma(x epsilon zn)e(pi izA[X]) (z epsilon h, the complex upper half plane) is a modular form of weight n/2 for the congruence group Gamma(1)(4) = {y epsilon SL2(Z)\y =((1)(0)(1)*) mod4}. If n greater than or equal to 24 and A[X], B[X] are two quadratic forms in Q(n, 1), then the quotient -(A)(z)/-(B)(z) is a modular function for Gamma(1)(4). Since we can identify the field of modular functions for Gamma(1)(4) with the function field K(X-1(4)) over the modular curve X-1(4)=Gamma(1)(4)\h* (the extended plane of h) with genus 0, in this paper, we express it as a rational function j(1,4) which is a field generator over C of K(X-1(4)) and defined by j(1,4)(z):=-(2)(2z)(4)/-(3)(2z)(4). Here, -(2) and -(3) denote the classical Jacobi theta functions. (C) 1999 Elsevier Science B.V. All rights reserved. | - |
dc.language | English | - |
dc.publisher | ELSEVIER SCIENCE BV | - |
dc.title | Quotients of theta series as rational functions of j(l,4) | - |
dc.type | Article | - |
dc.identifier.wosid | 000080810900004 | - |
dc.identifier.scopusid | 2-s2.0-0033609229 | - |
dc.type.rims | ART | - |
dc.citation.volume | 138 | - |
dc.citation.issue | 3 | - |
dc.citation.beginningpage | 229 | - |
dc.citation.endingpage | 238 | - |
dc.citation.publicationname | JOURNAL OF PURE AND APPLIED ALGEBRA | - |
dc.contributor.localauthor | Koo, JaKyung | - |
dc.contributor.nonIdAuthor | Hong, KJ | - |
dc.type.journalArticle | Article | - |
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