---
title: "Bibliography"
canonical: "https://docs.magma-maths.org/ModularArithmeticGeometry/HilbertModularForms/bibliography.html"
source: "https://docs.magma-maths.org/ModularArithmeticGeometry/HilbertModularForms/bibliography.md"
part: "Modular Arithmetic Geometry"
chapter: "Hilbert Modular Forms"
breadcrumbs:
  - {"title": "Magma Handbook", "source": "../../index.md"}
  - {"title": "Modular Arithmetic Geometry", "source": "../index-modular-arithmetic-geometry.md"}
  - {"title": "Hilbert Modular Forms", "source": "index-hilbert-modular-forms.md"}
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next: {"title": "Modular Forms over Imaginary Quadratic Fields", "source": "../ModularFormsOverImaginaryQuadraticFields/index-modular-forms-over-imaginary-quadratic-fields.md"}
---

# Bibliography

<a id="cite-dembele-donnelly"></a>
- **[DD08]** L. Dembele and S. Donnelly. Computing Hilbert Modular Forms Over Fields With Nontrivial Class Group. In S. Pauli F. Hess and M.Pohst, editors, *ANTS VIII*, volume 5011 of LNCS. Springer-Verlag, 2008.
<a id="cite-dembele-math-comp"></a>
- **[Dem07]** L. Dembélé. Quaternionic Manin symbols, Brandt matrices, and Hilbert modular forms. *Math. Comp.*, 76(258):1039–1057 (electronic), 2007.
<a id="cite-dembele-voight"></a>
- **[DV12]** L. Dembélé and J. Voight. Explicit methods for Hilbert modular forms. *to appear, Elliptic curves, Hilbert modular forms and Galois deformations*, 2012.
<a id="cite-freitag"></a>
- **[Fre90]** E. Freitag. *Hilbert modular forms*. Springer-Verlag, Berlin, 1990.
<a id="cite-garrett"></a>
- **[Gar90]** Paul B. Garrett. *Holomorphic Hilbert modular forms*. The Wadsworth & Brooks/Cole Mathematics Series. Wadsworth & Brooks/Cole Advanced Books & Software, Pacific Grove, CA, 1990. ISBN 0-534-10344-8.
<a id="cite-greenberg-voight"></a>
- **[GV11]** M. Greenberg and J. Voight. Computing systems of eigenvalues associated to Hilbert modular forms. *Math. Comp.*, 80:1071–1092, 2011.
<a id="cite-hida"></a>
- **[Hid06]** Haruzo Hida. *Hilbert modular forms and Iwasawa theory*. Oxford Mathematical Monographs. The Clarendon Press Oxford University Press, Oxford, 2006. ISBN 978-0-19-857102-5; 0-19-857102-X.
<a id="cite-voight-fundamental-domain"></a>
- **[Voi09]** J. Voight. Computing fundamental domains for cofinite Fuchsian groups. *J. Théor. Nombres Bordeaux*, 21(2):469–491, 2009.