New modular equations of signature three in the spirit of Ramanujan
Filomat, Tome 34 (2020) no. 9, p. 2847
Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts
Srinivasa Ramanujan recorded many modular equations in his notebooks, which are useful in the computation of class invariants, continued fractions and the values of theta functions. In this paper, we prove some new modular equations of signature three by using theta function identities of composite degrees.
Classification :
11F32, 14H42
Keywords: Modular equations, Theta functions
Keywords: Modular equations, Theta functions
B R Srivatsa Kumar; Shruthi . New modular equations of signature three in the spirit of Ramanujan. Filomat, Tome 34 (2020) no. 9, p. 2847 . doi: 10.2298/FIL2009847S
@article{10_2298_FIL2009847S,
author = {B R Srivatsa Kumar and Shruthi },
title = {New modular equations of signature three in the spirit of {Ramanujan}},
journal = {Filomat},
pages = {2847 },
year = {2020},
volume = {34},
number = {9},
doi = {10.2298/FIL2009847S},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2009847S/}
}
Cité par Sources :