Zobrazeno 1 - 10
of 197
pro vyhledávání: '"Kim Chang Heon"'
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
We propose a systematic method for analyzing Rohrlich-type divisor sums for arbitrary congruence subgroups $\Gamma_0(N)$. Our main theorem unifies various results from the literature, and its significance is illustrated through the following five app
Externí odkaz:
http://arxiv.org/abs/2410.12571
We investigate the properties of Hecke operator for sesquiharmonic Maass forms. We begin by proving Hecke equivariance of the divisor lifting with respect to sesquiharmonic Mass functions, which maps an integral weight meromorphic modular form to the
Externí odkaz:
http://arxiv.org/abs/2407.21447
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
Autor:
Kim, Chang Heon, Shin, Gyucheol
Publikováno v:
Journal of Mathematical Analysis and Applications, 543(2, Part3):129002, 2025
In this paper, we define the multiplicative Hecke operators $\mathcal{T}(n)$ for any positive integer on the integral weight meromorphic modular forms for $\Gamma_{0}(N)$. We then show that they have properties similar to those of additive Hecke oper
Externí odkaz:
http://arxiv.org/abs/2404.01042
Publikováno v:
Open Mathematics, Vol 15, Iss 1, Pp 787-799 (2017)
For a square-free positive integer N, we study the normalizer of ΓΔ(N) in PSL2(ℝ) and investigate the group structure of its quotient by ΓΔ(N) under certain conditions.
Externí odkaz:
https://doaj.org/article/bdf4944762bb47f39a188e9125f162c9
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
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
Recently, a weak converse theorem for Borcherds' lifting operator of type $O(2,1)$ for $\G_0(N)$ is proved and the logarithmic derivative of a modular form for $\G_0(N)$ is explicitly described in terms of the values of Niebur-Poincar\'e series at it
Externí odkaz:
http://arxiv.org/abs/2208.03924
Autor:
Kim, Chang Heon, Shin, Gyucheol
Publikováno v:
In Journal of Mathematical Analysis and Applications 15 March 2025 543(2) Part 3