Jeon, Daeyeol; Kang, Soon-Yi; Kim, Chang Heon The Hecke system of harmonic Maass functions and applications to modular curves of higher genera. (English) Zbl 07760618 Ramanujan J. 62, No. 3, 675-717 (2023). Reviewer: Larry Rolen (Dublin) MSC: 11F03 11F12 11F22 11F25 11F30 11F33 11F37 PDFBibTeX XMLCite \textit{D. Jeon} et al., Ramanujan J. 62, No. 3, 675--717 (2023; Zbl 07760618) Full Text: DOI
Jeon, Daeyeol; Kang, Soon-Yi; Kim, Chang Heon Hecke equivariance of generalized Borcherds products of type \(O(2,1)\). (English) Zbl 07708128 J. Math. Anal. Appl. 527, No. 1, Part 2, Article ID 127386, 16 p. (2023). Reviewer: Larry Rolen (Dublin) MSC: 11F37 11F03 11F33 11F55 PDFBibTeX XMLCite \textit{D. Jeon} et al., J. Math. Anal. Appl. 527, No. 1, Part 2, Article ID 127386, 16 p. (2023; Zbl 07708128) Full Text: DOI arXiv
Jeon, Daeyeol; Kang, Soon-Yi; Kim, Chang Heon Corrigendum to: “On values of weakly holomorphic modular functions at divisors of meromorphic modular forms”. (English) Zbl 1515.11033 J. Number Theory 251, 66-69 (2023). MSC: 11F03 11F12 11F25 11J81 11J91 PDFBibTeX XMLCite \textit{D. Jeon} et al., J. Number Theory 251, 66--69 (2023; Zbl 1515.11033) Full Text: DOI
Hwang, Jihyun; Kim, Chang Heon Eichler-Shimura isomorphism and vector-valued Hecke eigenpolynomials. (English) Zbl 1522.11029 J. Math. Anal. Appl. 517, No. 1, Article ID 126586, 36 p. (2023). MSC: 11F11 11F67 PDFBibTeX XMLCite \textit{J. Hwang} and \textit{C. H. Kim}, J. Math. Anal. Appl. 517, No. 1, Article ID 126586, 36 p. (2023; Zbl 1522.11029) Full Text: DOI
Jeon, Daeyeol; Kang, Soon-Yi; Kim, Chang Heon On values of weakly holomorphic modular functions at divisors of meromorphic modular forms. (English) Zbl 1505.11070 J. Number Theory 239, 183-206 (2022); corrigendum ibid. 251, 66-69 (2023). Reviewer: Yong Hu (Guangdong) MSC: 11F03 11F12 11F25 11J81 11J91 PDFBibTeX XMLCite \textit{D. Jeon} et al., J. Number Theory 239, 183--206 (2022; Zbl 1505.11070) Full Text: DOI arXiv
Choi, SoYoung; Kim, Chang Heon Explicit construction of mock modular forms from weakly holomorphic Hecke eigenforms. (English) Zbl 1485.11083 Open Math. 20, 313-332 (2022). MSC: 11F11 11F67 11F25 PDFBibTeX XMLCite \textit{S. Choi} and \textit{C. H. Kim}, Open Math. 20, 313--332 (2022; Zbl 1485.11083) Full Text: DOI
Jung, Ho Yun; Kim, Chang Heon; Kim, Kyoungmin; Kwon, Soonhak The number of representations of integers by 4-dimensional strongly \(N\)-modular lattices. (English) Zbl 1491.11038 Ramanujan J. 57, No. 4, 1253-1275 (2022). Reviewer: Ahmet Tekcan (Bursa) MSC: 11E25 11E45 PDFBibTeX XMLCite \textit{H. Y. Jung} et al., Ramanujan J. 57, No. 4, 1253--1275 (2022; Zbl 1491.11038) Full Text: DOI
Hwang, Jihyun; Kim, Chang Heon Arithmetic of weakly holomorphic Hecke eigenforms. (English) Zbl 1484.11111 Adv. Math. 384, Article ID 107750, 37 p. (2021). Reviewer: Guram Gogishvili (Tbilisi) MSC: 11F11 11F67 11F25 PDFBibTeX XMLCite \textit{J. Hwang} and \textit{C. H. Kim}, Adv. Math. 384, Article ID 107750, 37 p. (2021; Zbl 1484.11111) Full Text: DOI
Jeon, Daeyeol; Kang, Soon-Yi; Kim, Chang Heon Bases of spaces of harmonic weak Maass forms and Shintani lifts of harmonic weak Maass forms. (English) Zbl 1469.11100 Ramanujan J. 54, No. 1, 219-244 (2021). MSC: 11F37 11F12 11F30 PDFBibTeX XMLCite \textit{D. Jeon} et al., Ramanujan J. 54, No. 1, 219--244 (2021; Zbl 1469.11100) Full Text: DOI
Jung, Ho Yun; Kim, Chang Heon Modularity of Galois traces of ray class invariants. (English) Zbl 1469.11101 Ramanujan J. 54, No. 2, 355-383 (2021). MSC: 11F37 11F30 11G15 11R27 11R37 PDFBibTeX XMLCite \textit{H. Y. Jung} and \textit{C. H. Kim}, Ramanujan J. 54, No. 2, 355--383 (2021; Zbl 1469.11101) Full Text: DOI
Choi, SoYoung; Kim, Chang Heon; Lee, Kyung Seung Congruences for Hecke eigenvalues in minus spaces. (English) Zbl 1465.11095 J. Number Theory 217, 353-375 (2020). MSC: 11F03 11F11 11F37 PDFBibTeX XMLCite \textit{S. Choi} et al., J. Number Theory 217, 353--375 (2020; Zbl 1465.11095) Full Text: DOI
Jeon, Daeyeol; Kang, Soon-Yi; Kim, Chang Heon Hecke System of Harmonic Maass Functions and Applications to Modular Curves of Higher Genera. arXiv:2001.08498 Preprint, arXiv:2001.08498 [math.NT] (2020). MSC: 11F03 11F12 11F25 11F30 11F33 11F37 BibTeX Cite \textit{D. Jeon} et al., ``Hecke System of Harmonic Maass Functions and Applications to Modular Curves of Higher Genera'', Preprint, arXiv:2001.08498 [math.NT] (2020) Full Text: arXiv OA License
Choi, Suh Hyun; Kim, Chang Heon; Kwon, Yeong-Wook; Lee, Kyu-Hwan Rationality and \(p\)-adic properties of reduced forms of half-integral weight. (English) Zbl 1472.11139 J. Number Theory 204, 446-470 (2019). MSC: 11F37 11F25 11F30 PDFBibTeX XMLCite \textit{S. H. Choi} et al., J. Number Theory 204, 446--470 (2019; Zbl 1472.11139) Full Text: DOI arXiv
Jung, Ho Yun; Kim, Chang Heon; Kwon, Soonhak; Kwon, Yeong-Wook Modularity of Galois traces of Weber’s resolvents. (English) Zbl 1446.11081 J. Number Theory 203, 249-275 (2019). MSC: 11F37 11F30 11G15 11R27 11R37 PDFBibTeX XMLCite \textit{H. Y. Jung} et al., J. Number Theory 203, 249--275 (2019; Zbl 1446.11081) Full Text: DOI
Kim, Chang Heon; Kim, Kyoungmin; Kwon, Soonhak; Kwon, Yeong-Wook Representations of Bell-type quaternary quadratic forms. (English) Zbl 1448.11078 Result. Math. 74, No. 2, Paper No. 75, 29 p. (2019). MSC: 11E25 11E45 PDFBibTeX XMLCite \textit{C. H. Kim} et al., Result. Math. 74, No. 2, Paper No. 75, 29 p. (2019; Zbl 1448.11078) Full Text: DOI
Choi, So Young; Kim, Chang Heon; Lee, Kyung Seung Arithmetic properties for the minus space of weakly holomorphic modular forms. (English) Zbl 1439.11110 J. Number Theory 196, 306-339 (2019). Reviewer: Noriko Yui (Kingston) MSC: 11F03 11F11 PDFBibTeX XMLCite \textit{S. Y. Choi} et al., J. Number Theory 196, 306--339 (2019; Zbl 1439.11110) Full Text: DOI
Choi, Soyoung; Kim, Chang Heon On the algebraicity of coefficients of half-integral weight mock modular forms. (English) Zbl 1448.11092 Open Math. 16, 1335-1343 (2018). MSC: 11F37 11F67 11F30 PDFBibTeX XMLCite \textit{S. Choi} and \textit{C. H. Kim}, Open Math. 16, 1335--1343 (2018; Zbl 1448.11092) Full Text: DOI
Choi, Soyoung; Kim, Chang Heon Rational period functions and indefinite binary quadratic forms in higher level cases. (English) Zbl 1429.11075 Acta Arith. 179, No. 4, 319-334 (2017). MSC: 11F11 11F67 PDFBibTeX XMLCite \textit{S. Choi} and \textit{C. H. Kim}, Acta Arith. 179, No. 4, 319--334 (2017; Zbl 1429.11075) Full Text: DOI
Choi, SoYoung; Kim, Chang Heon Eichler-Shimura isomorphism in higher level cases and its applications. (English) Zbl 1423.11079 J. Number Theory 177, 353-380 (2017). MSC: 11F11 11F67 PDFBibTeX XMLCite \textit{S. Choi} and \textit{C. H. Kim}, J. Number Theory 177, 353--380 (2017; Zbl 1423.11079) Full Text: DOI
Choi, SoYoung; Kim, Chang Heon Shintani and Shimura lifts of cusp forms on certain arithmetic groups and their applications. (English) Zbl 1422.11084 Open Math. 15, 304-316 (2017). MSC: 11F11 11F37 11F67 PDFBibTeX XMLCite \textit{S. Choi} and \textit{C. H. Kim}, Open Math. 15, 304--316 (2017; Zbl 1422.11084) Full Text: DOI
Jeon, Daeyeol; Kang, Soon-Yi; Kim, Chang Heon Zagier-lift type arithmetic in harmonic weak Maass forms. (English) Zbl 1409.11035 J. Number Theory 169, 227-249 (2016). MSC: 11F37 11F03 11F12 11F30 PDFBibTeX XMLCite \textit{D. Jeon} et al., J. Number Theory 169, 227--249 (2016; Zbl 1409.11035) Full Text: DOI
Choi, So Young; Kim, Chang Heon Weakly holomorphic Hecke eigenforms and Hecke eigenpolynomials. (English) Zbl 1330.11027 Adv. Math. 290, 144-162 (2016). Reviewer: Ahmet Tekcan (Bursa) MSC: 11F11 11F67 11F25 PDFBibTeX XMLCite \textit{S. Y. Choi} and \textit{C. H. Kim}, Adv. Math. 290, 144--162 (2016; Zbl 1330.11027) Full Text: DOI
Jeon, Daeyeol; Kang, Soon-Yi; Kim, Chang Heon Corrigendum to: “Weak Maass-Poincaré series and weight 3/2 mock modular forms”. (English) Zbl 1331.11027 J. Number Theory 159, 434-435 (2016). MSC: 11F03 11F12 11F30 11F37 PDFBibTeX XMLCite \textit{D. Jeon} et al., J. Number Theory 159, 434--435 (2016; Zbl 1331.11027) Full Text: DOI
Choi, SoYoung; Kim, Chang Heon Linear relations between modular forms for \(\Gamma_0^+(p)\). (English) Zbl 1380.11029 Open Math. 13, 655-662 (2015). MSC: 11F11 11F30 11F33 PDFBibTeX XMLCite \textit{S. Choi} and \textit{C. H. Kim}, Open Math. 13, 655--662 (2015; Zbl 1380.11029) Full Text: DOI
Choi, Soyoung; Kim, Chang Heon Some remarks on Hurwitz-Kronecker class numbers and traces of singular moduli. (English) Zbl 1388.11009 Ramanujan J. 38, No. 3, 579-596 (2015). MSC: 11F03 11F50 11F37 PDFBibTeX XMLCite \textit{S. Choi} and \textit{C. H. Kim}, Ramanujan J. 38, No. 3, 579--596 (2015; Zbl 1388.11009) Full Text: DOI
Choi, SoYoung; Kim, Chang Heon Linear relations among half-integral weight Poincaré series. (English) Zbl 1380.11044 J. Math. Anal. Appl. 432, No. 2, 1077-1094 (2015). MSC: 11F37 11F30 PDFBibTeX XMLCite \textit{S. Choi} and \textit{C. H. Kim}, J. Math. Anal. Appl. 432, No. 2, 1077--1094 (2015; Zbl 1380.11044) Full Text: DOI
Choi, So Young; Kim, Chang Heon Rational period functions in higher level cases. (English) Zbl 1329.11035 J. Number Theory 157, 64-78 (2015). Reviewer: Noburo Ishii (Kyoto) MSC: 11F11 11F67 PDFBibTeX XMLCite \textit{S. Y. Choi} and \textit{C. H. Kim}, J. Number Theory 157, 64--78 (2015; Zbl 1329.11035) Full Text: DOI
Choi, SoYoung; Kim, Chang Heon Rational period functions and cycle integrals in higher level cases. (English) Zbl 1381.11029 J. Math. Anal. Appl. 427, No. 2, 741-758 (2015). MSC: 11F11 11F03 PDFBibTeX XMLCite \textit{S. Choi} and \textit{C. H. Kim}, J. Math. Anal. Appl. 427, No. 2, 741--758 (2015; Zbl 1381.11029) Full Text: DOI
Choi, SoYoung; Kim, Chang Heon Mock period functions in higher level cases. (English) Zbl 1342.11056 J. Math. Anal. Appl. 415, No. 2, 499-512 (2014). MSC: 11F67 11F03 PDFBibTeX XMLCite \textit{S. Choi} and \textit{C. H. Kim}, J. Math. Anal. Appl. 415, No. 2, 499--512 (2014; Zbl 1342.11056) Full Text: DOI
Choi, Soyoung; Kim, Chang Heon Mock modular period functions and \(L\)-functions of cusp forms in higher level cases. (English) Zbl 1305.11029 Proc. Am. Math. Soc. 142, No. 10, 3369-3386 (2014). Reviewer: Ahmet Tekcan (Bursa) MSC: 11F11 11F67 11F37 PDFBibTeX XMLCite \textit{S. Choi} and \textit{C. H. Kim}, Proc. Am. Math. Soc. 142, No. 10, 3369--3386 (2014; Zbl 1305.11029) Full Text: DOI
Jeon, Daeyeol; Kang, Soon-Yi; Kim, Chang Heon Cycle integrals of a sesqui-harmonic Maass form of weight zero. (English) Zbl 1322.11036 J. Number Theory 141, 92-108 (2014). Reviewer: Guangshi Lü (Jinan) MSC: 11F12 11F30 11F37 PDFBibTeX XMLCite \textit{D. Jeon} et al., J. Number Theory 141, 92--108 (2014; Zbl 1322.11036) Full Text: DOI arXiv
Choi, SoYoung; Kim, Chang Heon Valence formulas for certain arithmetic groups and their applications. (English) Zbl 1317.11040 J. Math. Anal. Appl. 420, No. 1, 447-463 (2014). Reviewer: Sanoli Gun (Chennai) MSC: 11F03 11F37 PDFBibTeX XMLCite \textit{S. Choi} and \textit{C. H. Kim}, J. Math. Anal. Appl. 420, No. 1, 447--463 (2014; Zbl 1317.11040) Full Text: DOI
Jeon, Daeyeol; Kang, Soon-Yi; Kim, Chang Heon Weak Maass-Poincaré series and weight 3/2 mock modular forms. (English) Zbl 1287.11052 J. Number Theory 133, No. 8, 2567-2587 (2013); corrigendum ibid. 159, 434-435 (2016). MSC: 11F03 11F12 11F30 11F37 PDFBibTeX XMLCite \textit{D. Jeon} et al., J. Number Theory 133, No. 8, 2567--2587 (2013; Zbl 1287.11052) Full Text: DOI arXiv
Choi, SoYoung; Kim, Chang Heon Basis for the space of weakly holomorphic modular forms in higher level cases. (English) Zbl 1282.11027 J. Number Theory 133, No. 4, 1300-1311 (2013). Reviewer: Noburo Ishii (Kyoto) MSC: 11F03 11F11 11F37 PDFBibTeX XMLCite \textit{S. Choi} and \textit{C. H. Kim}, J. Number Theory 133, No. 4, 1300--1311 (2013; Zbl 1282.11027) Full Text: DOI
Jeon, Daeyeol; Kang, Soon-Yi; Kim, Chang Heon Modularity of Galois traces of class invariants. (English) Zbl 1284.11082 Math. Ann. 353, No. 1, 37-63 (2012). MSC: 11F37 11F30 11G15 11R27 PDFBibTeX XMLCite \textit{D. Jeon} et al., Math. Ann. 353, No. 1, 37--63 (2012; Zbl 1284.11082) Full Text: DOI
Kim, Chang Heon; Koo, Ja Kyung Generation of Hauptmoduln of \(\Gamma_{1}(N)\) by Weierstrass units and application to class fields. (English) Zbl 1252.11039 Cent. Eur. J. Math. 9, No. 6, 1389-1402 (2011). Reviewer: Noburo Ishii (Kyoto) MSC: 11F03 11F11 14H55 PDFBibTeX XMLCite \textit{C. H. Kim} and \textit{J. K. Koo}, Cent. Eur. J. Math. 9, No. 6, 1389--1402 (2011; Zbl 1252.11039) Full Text: DOI
Kang, Soon-Yi; Kim, Chang Heon Arithmetic properties of traces of singular moduli on congruence subgroups. (English) Zbl 1221.11101 Int. J. Number Theory 6, No. 8, 1755-1768 (2010). Reviewer: Marvin I. Knopp (Philadelphia) MSC: 11F03 11F30 11F37 PDFBibTeX XMLCite \textit{S.-Y. Kang} and \textit{C. H. Kim}, Int. J. Number Theory 6, No. 8, 1755--1768 (2010; Zbl 1221.11101) Full Text: DOI arXiv
Choi, SoYoung; Kim, Chang Heon On the infinite product exponents of meromorphic modular forms for certain arithmetic groups. (English) Zbl 1239.11048 Acta Arith. 145, No. 2, 155-169 (2010). Reviewer: Yilmaz Simsek (Antalya) MSC: 11F03 11F11 11F37 PDFBibTeX XMLCite \textit{S. Choi} and \textit{C. H. Kim}, Acta Arith. 145, No. 2, 155--169 (2010; Zbl 1239.11048) Full Text: DOI
Kim, Chang Heon The generating function for traces of singular moduli and an application to Borcherds products. (English) Zbl 1216.11049 Ramanujan J. 22, No. 2, 187-207 (2010). MSC: 11F03 11F50 11F37 PDFBibTeX XMLCite \textit{C. H. Kim}, Ramanujan J. 22, No. 2, 187--207 (2010; Zbl 1216.11049) Full Text: DOI
Kim, Chang Heon; Koo, Ja Kyung Generators of function fields of the modular curves \(X_1(5)\) and \(X_1(6)\). (English) Zbl 1221.11103 Math. Comput. 79, No. 270, 1047-1066 (2010). Reviewer: Florin Nicolae (Berlin) MSC: 11F03 11F06 11F11 14H55 PDFBibTeX XMLCite \textit{C. H. Kim} and \textit{J. K. Koo}, Math. Comput. 79, No. 270, 1047--1066 (2010; Zbl 1221.11103) Full Text: DOI
Choi, Soyoung; Kim, Chang Heon Recursion formulas for modular traces of weak Maass forms of weight zero. (English) Zbl 1268.11061 Bull. Lond. Math. Soc. 42, No. 4, 639-651 (2010). MSC: 11F50 11F37 11F30 PDFBibTeX XMLCite \textit{S. Choi} and \textit{C. H. Kim}, Bull. Lond. Math. Soc. 42, No. 4, 639--651 (2010; Zbl 1268.11061) Full Text: DOI
Kim, Chang Heon Twisted traces of singular values. (English) Zbl 1221.11102 Ramanujan J. 19, No. 2, 237-246 (2009). Reviewer: Noriko Yui (Kingston) MSC: 11F03 11F30 11F11 11F37 PDFBibTeX XMLCite \textit{C. H. Kim}, Ramanujan J. 19, No. 2, 237--246 (2009; Zbl 1221.11102) Full Text: DOI
Choi, Dohoon; Jeon, Daeyeol; Kang, Soon-Yi; Kim, Chang Heon Exact formulas for traces of singular moduli of higher level modular functions. (English) Zbl 1145.11037 J. Number Theory 128, No. 3, 700-707 (2008). Reviewer: Noburo Ishii (Osaka) MSC: 11F37 11F03 PDFBibTeX XMLCite \textit{D. Choi} et al., J. Number Theory 128, No. 3, 700--707 (2008; Zbl 1145.11037) Full Text: DOI arXiv
Choi, Dohoon; Jeon, Daeyeol; Kang, Soon-Yi; Kim, Chang Heon Traces of singular moduli of arbitrary level modular functions. (English) Zbl 1206.11059 Int. Math. Res. Not. 2007, No. 22, Article ID rnm110, 17 p. (2007). MSC: 11F37 11F33 11F03 PDFBibTeX XMLCite \textit{D. Choi} et al., Int. Math. Res. Not. 2007, No. 22, Article ID rnm110, 17 p. (2007; Zbl 1206.11059) Full Text: DOI
Kim, Chang Heon Traces of singular values and Borcherds products. (English) Zbl 1120.11020 Bull. Lond. Math. Soc. 38, No. 5, 730-740 (2006). Reviewer: Marvin I. Knopp (Philadelphia) MSC: 11F03 11F30 11F27 11F50 PDFBibTeX XMLCite \textit{C. H. Kim}, Bull. Lond. Math. Soc. 38, No. 5, 730--740 (2006; Zbl 1120.11020) Full Text: DOI arXiv
Kim, Chang Heon Borcherds products associated with certain Thompson series. (English) Zbl 1059.11034 Compos. Math. 140, No. 3, 541-551 (2004). Reviewer: Karl-Bernhard Gundlach (Marburg) MSC: 11F03 11F11 11F22 11F50 PDFBibTeX XMLCite \textit{C. H. Kim}, Compos. Math. 140, No. 3, 541--551 (2004; Zbl 1059.11034) Full Text: DOI arXiv
Kim, Chang Heon; Koo, Ja Kyung Self-recursion formulas of certain monstrous functions. (English) Zbl 1044.11019 J. Pure Appl. Algebra 171, No. 1, 27-40 (2002). Reviewer: Tom M. Apostol (Pasadena) MSC: 11F03 11F22 11F30 PDFBibTeX XMLCite \textit{C. H. Kim} and \textit{J. K. Koo}, J. Pure Appl. Algebra 171, No. 1, 27--40 (2002; Zbl 1044.11019) Full Text: DOI
Kim, Chang Heon; Koo, Ja Kyung Arithmetic of the modular function \(j_4\). (English) Zbl 0943.11024 J. Korean Math. Soc. 36, No. 4, 707-724 (1999). Reviewer: J.A.Antoniadis (Iraklion) MSC: 11F03 11F22 11F30 11R58 PDFBibTeX XMLCite \textit{C. H. Kim} and \textit{J. K. Koo}, J. Korean Math. Soc. 36, No. 4, 707--724 (1999; Zbl 0943.11024)
Kim, Chang Heon; Koo, Ja Kyung On the modular function \(j_4\) of level 4. (English) Zbl 0921.11024 J. Korean Math. Soc. 35, No. 4, 903-931 (1998). Reviewer: G.Köhler (Würzburg) MSC: 11F03 11F11 11E12 11R04 PDFBibTeX XMLCite \textit{C. H. Kim} and \textit{J. K. Koo}, J. Korean Math. Soc. 35, No. 4, 903--931 (1998; Zbl 0921.11024)
Kim, Chang Heon; Koo, Ja Kyung Arithmetic of the modular function \(j_{1,4}\). (English) Zbl 0907.11014 Acta Arith. 84, No. 2, 129-143 (1998). Reviewer: G.Köhler (Würzburg) MSC: 11F03 11F22 11F11 11R04 11R37 14H45 PDFBibTeX XMLCite \textit{C. H. Kim} and \textit{J. K. Koo}, Acta Arith. 84, No. 2, 129--143 (1998; Zbl 0907.11014) Full Text: DOI EuDML