Výsledky vyhledávání - "Choi Soyoung"

Akademický článek

Singular moduli of rth Roots of modular functions

Autor: Choi SoYoung

Publikováno v: Open Mathematics, Vol 21, Iss 1, Pp pp. 255-326 (2023)

When singular moduli of Hauptmodules generate ring class fields (resp. ray class fields) of imaginary quadratic fields, using the theory of Shimura reciprocity law, we determine a necessary and sufficient condition for singular moduli of rrth roots o

Externí odkaz: https://doaj.org/article/ddac27b515c14e0b8aeb8f45a174cc18

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Akademický článek

Explicit construction of mock modular forms from weakly holomorphic Hecke eigenforms

Autor: Choi SoYoung, Kim Chang Heon

Publikováno v: Open Mathematics, Vol 20, Iss 1, Pp 313-332 (2022)

Extending our previous work we construct weakly holomorphic Hecke eigenforms whose period polynomials correspond to elements in a basis consisting of odd and even Hecke eigenpolynomials induced by only cusp forms. As an application of our results, we

Externí odkaz: https://doaj.org/article/b0c7bd2481024797b99dc7f8dde592a4

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Akademický článek

On the algebraicity of coefficients of half-integral weight mock modular forms

Autor: Choi SoYoung, Kim Chang Heon

Publikováno v: Open Mathematics, Vol 16, Iss 1, Pp 1335-1343 (2018)

Extending works of Ono and Boylan to the half-integral weight case, we relate the algebraicity of Fourier coefficients of half-integral weight mock modular forms to the vanishing of Fourier coefficients of their shadows.

Externí odkaz: https://doaj.org/article/e763b83807d0443891879f8baa153b03

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Akademický článek

Shintani and Shimura lifts of cusp forms on certain arithmetic groups and their applications

Autor: Choi SoYoung, Kim Chang Heon

Publikováno v: Open Mathematics, Vol 15, Iss 1, Pp 304-316 (2017)

For an odd and squarefree level N, Kohnen proved that there is a canonically defined subspace Sκ+12new(N)⊂Sκ+12(N),andSκ+12new(N)andS2knew(N)$S_{\kappa+\frac{1}{2}}^{\mathrm{n}\mathrm{e}\mathrm{w}}(N)\subset S_{\kappa+\frac{1}{2}}(N),\,\,{\text{

Externí odkaz: https://doaj.org/article/9e83dfb1e8784633932d1868b58f0df1

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Akademický článek

Linear relations between modular forms for Г0+(p)

Autor: Choi SoYoung, Kim Chang Heon

Publikováno v: Open Mathematics, Vol 13, Iss 1 (2015)

We find linear relations among the Fourier coefficients of modular forms for the group Г0+(p) of genus zero. As an application of these linear relations, we derive congruence relations satisfied by the Fourier coefficients of normalized Hecke eigenf

Externí odkaz: https://doaj.org/article/247ddbe0a54e44989ae5f433daa56f98

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