In mathematics, a Hilbert modular form is a generalization of modular forms to functions of two or more variables. It is a (complex) analytic function on the m-fold product of upper half-planes. satisfying a certain kind of functional equation

In mathematics, a Hilbert modular form is a generalization of modular forms to functions of two or more variables. satisfying a certain kind of functional equation. Let F be a totally real number field of degree m over the rational field. Let. be the real embeddings of F. Through them we have a map. be the ring of integers of F. The group. is called the full Hilbert modular group.

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Hilbert Modular Forms. Authors: Freitag, Eberhard. Important results on the Hilbert modular group and Hilbert modular forms are introduced and described in this book. price for USA in USD (gross).

Important results on the Hilbert modular group and Hilbert modular forms are introduced and described in this book. The main aim of this book is to give a description of the singular cohomology and its Hodge decomposition including explicit formulae. The author has succeeded in giving proofs which are both elementary and complete.

Hilbert modular surfaces can also be realized as modular varieties corresponding to the orthogonal group of a rational quadratic space of. .They are nite quotient singularities. Hilbert modular forms and their applications. 5. The surface Y (Γ) is non-compact.

Hilbert modular surfaces can also be realized as modular varieties corresponding to the orthogonal group of a rational quadratic space of type (2, 2). This viewpoint leads to several interesting features of these surfaces. Manufacturers, suppliers and others provide what you see here, and we have not verified it. See our disclaimer. Hilbert Modular Forms HILBERT'S MODULAR FORMS. Some years ago, Borcherds described in two methods for constructing modular forms on modular varieties related to the orthogonal group ${O}(2,n)$. They are the so called Borcherds' additiv. More). A discrete subgroup Γ ⊂ SL, (2ℝ) acts discontinuously on the upper half-plane H. The parabolic elements of Γ give rise to a natural extension of H/Γ by the so-called cusp classes. We are mainly interested in the case where this extension is compact. The theory of newforms for Hilbert modular forms is summarized in-cluding a statement of a strong multiplicity-one theorem and a characterization of newforms as eigenfunctions for a certain involution whose Dirichlet series has a pre-scribed Euler product.