Differential equations for Hilbert modular forms of $\mathbb{Q}(\sqrt{2})$
Mano, Toshiyuki
J. Math. Kyoto Univ., Tome 44 (2004) no. 4, p. 457-477 / Harvested from Project Euclid
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We construct a system of non-linear differential equations from the uniformizing differential equations of an orbifold attached to certain Hilbert modular surface. Generic solutions of this system can be given by the logarithmic derivatives of Hilbert modular forms.
Publié le : 2004-05-15
Classification:  30F35 
@article{1250283078,
     author = {Mano, Toshiyuki},
     title = {Differential equations for Hilbert modular forms of $\mathbb{Q}(\sqrt{2})$},
     journal = {J. Math. Kyoto Univ.},
     volume = {44},
     number = {4},
     year = {2004},
     pages = { 457-477},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1250283078}
}

Mano, Toshiyuki. Differential equations for Hilbert modular forms of $\mathbb{Q}(\sqrt{2})$. J. Math. Kyoto Univ., Tome 44 (2004) no. 4, pp.  457-477. http://gdmltest.u-ga.fr/item/1250283078/