Modular equations of degrees 13, 29, and 61

Güloğlu, Ahmet M.Yesilyurt, Hamza2024-03-112024-03-112023-11-211382-4090https://hdl.handle.net/11693/114472Schröter-type theta function identities were very instrumental in proving modular equations. In this paper, by employing a generalization of this identity, we prove for the ﬁrst time a modular equation of degree 61. Furthermore, new modular equations of degrees 13 and 29 are obtained.en-USCC BY 4.0 Deed (Attribution 4.0 International)Theta functionsModular equationsRogers’ MethodModular equations of degrees 13, 29, and 61Article10.1007/s11139-023-00794-21572-9303