Saber, Hicham; Sebbar, Abdellah Modular differential equations and algebraic systems. (English) Zbl 07862429 Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 118, No. 3, Paper No. 100, 16 p. (2024). MSC: 11F03 11F11 34M05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Saber, Hicham; Sebbar, Abdellah On the modularity of solutions to certain differential equations of hypergeometric type. (English) Zbl 1498.11114 Bull. Aust. Math. Soc. 105, No. 3, 385-391 (2022). MSC: 11F03 11F11 34M05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Saber, Hicham; Sebbar, Abdellah Equivariant solutions to modular Schwarzian equations. (English) Zbl 1486.11057 J. Math. Anal. Appl. 508, No. 2, Article ID 125887, 15 p. (2022). MSC: 11F11 11F03 11F12 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Sebbar, Abdellah; Saber, Hicham Automorphic Schwarzian equations. (English) Zbl 1456.11046 Forum Math. 32, No. 6, 1621-1636 (2020). MSC: 11F03 11F11 34M05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
Qian, Junqing Hyperbolic metric, punctured Riemann sphere, and modular functions. (English) Zbl 1461.30103 Trans. Am. Math. Soc. 373, No. 12, 8751-8784 (2020). MSC: 30F45 32Q20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Sebbar, Abdellah Schwarzian equations and equivariant functions. (English) Zbl 1422.30041 Wood, David R. (ed.) et al., 2017 MATRIX annals. Cham: Springer. MATRIX Book Ser. 2, 449-460 (2019). MSC: 30D30 30F35 11F41 × Cite Format Result Cite Review PDF Full Text: DOI
El Basraoui, Abdelkrim; McKay, John The Schwarzian equation for completely replicable functions. (English) Zbl 1433.11044 LMS J. Comput. Math. 20, No. 1, 30-52 (2017). MSC: 11F22 20D08 11F03 × Cite Format Result Cite Review PDF Full Text: DOI
Abdelaziz, Y.; Maillard, J.-M. Schwarzian conditions for linear differential operators with selected differential Galois groups. (English) Zbl 1382.34017 J. Phys. A, Math. Theor. 50, No. 46, Article ID 465201, 39 p. (2017). MSC: 34A30 34L40 33C45 34C14 34C20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Abdelaziz, Y.; Maillard, J.-M. Modular forms, Schwarzian conditions, and symmetries of differential equations in physics. (English) Zbl 1381.33011 J. Phys. A, Math. Theor. 50, No. 21, Article ID 215203, 44 p. (2017). MSC: 33C20 34C14 11F11 82B20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Sebbar, Ahmed Finite and infinite order differential relations for theta functions. (English) Zbl 1411.11088 Milan J. Math. 84, No. 2, 317-347 (2016). MSC: 11M41 26A06 30D05 33E05 × Cite Format Result Cite Review PDF Full Text: DOI
Saber, Hicham; Sebbar, Abdellah Equivariant functions and vector-valued modular forms. (English) Zbl 1293.11063 Int. J. Number Theory 10, No. 4, 949-954 (2014). MSC: 11F11 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Komeda, Jiryo; Matsutani, Shigeki; Previato, Emma The sigma function for Weierstrass semigroups \(\langle 3,7,8\rangle\) and \(\langle 6,13,14,15,16\rangle\). (English) Zbl 1284.14045 Int. J. Math. 24, No. 11, Article ID 1350085, 58 p. (2013). Reviewer: Ahmed Lesfari (El Jadida) MSC: 14H55 14H50 14K20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Sebbar, Abdellah; Sebbar, Ahmed Equivariant functions and integrals of elliptic functions. (English) Zbl 1347.11040 Geom. Dedicata 160, 373-414 (2012). MSC: 11F03 33E05 × Cite Format Result Cite Review PDF Full Text: DOI
El Basraoui, Abdelkrim; Sebbar, Abdellah Rational equivariant forms. (English) Zbl 1251.11024 Int. J. Number Theory 8, No. 4, 963-981 (2012). MSC: 11F11 × Cite Format Result Cite Review PDF Full Text: DOI
Matsutani, Shigeki; Previato, Emma A class of solutions of the dispersionless KP equation. (English) Zbl 1233.37040 Phys. Lett., A 373, No. 34, 3001-3004 (2009). MSC: 37K10 × Cite Format Result Cite Review PDF Full Text: DOI
Brezhnev, Yu. V. On uniformization of Burnside’s curve \(y^2 = x^5 - x\). (English) Zbl 1283.30070 J. Math. Phys. 50, No. 10, 103519, 23 p. (2009). MSC: 30F10 11G05 14H45 33D60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Choi, D.; Choie, Y. Linear relations among the Fourier coefficients of modular forms on groups \(\varGamma_{0}(N)\) of genus zero and their applications. (English) Zbl 1114.11042 J. Math. Anal. Appl. 326, No. 1, 655-666 (2007). Reviewer: Yilmaz Simsek (Antalya) MSC: 11F30 11F33 11F11 11F20 × Cite Format Result Cite Review PDF Full Text: DOI
Sebbar, Abdellah Torsion-free genus zero congruence subgroups of \(\text{PSL}_2(\mathbb R)\). (English) Zbl 1012.11031 Duke Math. J. 110, No. 2, 377-396 (2001). Reviewer: Ser Peow Tan (Singapore) MSC: 11F06 20H05 11F03 × Cite Format Result Cite Review PDF Full Text: DOI