Hilbert modular form information

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...

In mathematics, a modular form is a (complex) analytic function on the upper half-plane, H {\displaystyle \,{\mathcal {H}}\,} , that satisfies: a kind...

In mathematics, a Hilbert modular surface or Hilbert–Blumenthal surface is an algebraic surface obtained by taking a quotient of a product of two copies...

In mathematics, Siegel modular forms are a major type of automorphic form. These generalize conventional elliptic modular forms which are closely related...

mathematics, a mock modular form is the holomorphic part of a harmonic weak Maass form, and a mock theta function is essentially a mock modular form of weight 1/2...

scheduling Hilbert field Hilbert function Hilbert manifold Hilbert matrix Hilbert metric Hilbert modular form Hilbert modular variety Hilbert–Mumford criterion...

applying Hilbert modular forms. In 1986, upon reading Ken Ribet’s seminal work on Fermat’s Last Theorem, Wiles set out to prove the modularity theorem...

automorphic forms other than modular forms. The case of Γ a Fuchsian group had already received attention before 1900 (see below). The Hilbert modular forms (also...

had little more to publish on the subject; but the emergence of Hilbert modular forms in the dissertation of a student means his name is further attached...

Barnet-Lamb and David Geraghty, he proved the Sato–Tate conjecture for Hilbert modular forms. One of his most influential ideas has been the introduction of...

number theory, arithmetic geometry, and automorphic forms, in particular, Hilbert modular forms and zeta functions of Shimura varieties. He was a visiting...

had little more to publish on the subject; but the emergence of Hilbert modular forms in the dissertation of a student means his name is further attached...

very demanding. And on the side of modular forms, there were examples such as Hilbert modular forms, Siegel modular forms, and theta-series. There are a number...

special cases were worked out in detail, including the Hilbert modular forms and Siegel modular forms. Important results in the theory include the Selberg...

variety. The Hilbert scheme is a disjoint union of projective subschemes corresponding to Hilbert polynomials. The basic theory of Hilbert schemes was...

work on Hilbert modular surfaces. Hirzebruch and Zagier coauthored Intersection numbers of curves on Hilbert modular surfaces and modular forms of Nebentypus...

complex multiplication, the Hilbert class field of an imaginary quadratic field is generated by the value of the elliptic modular function at a generator...

to a complement. An orthocomplemented lattice satisfying a weak form of the modular law is called an orthomodular lattice. In bounded distributive lattices...

Miranda, Rick; Teicher, Mina (eds.), "Communication Networks and Hilbert Modular Forms", Applications of Algebraic Geometry to Coding Theory, Physics and...

2009 Hilbert Modular Forms. Springer-Verlag, Grundlehren der mathematischen Wissenschaften, 1990, ISBN 978-3540505860 2013 pbk reprint Singular Modular Forms...

Siegel modular varieties. Hilbert modular surface Hilbert scheme Jacobian variety Hulek, Klaus; Sankaran, G. K. (2002). "The Geometry of Siegel Modular Varieties"...

Neukirch 1999 Dembélé, Lassina (2005). "Explicit computations of Hilbert modular forms on Q ( 5 ) {\displaystyle \mathbb {Q} ({\sqrt {5}})} " (PDF). Exp...

ISSN 0003-486X. Dasgupta, Samit; Darmon, Henri; Pollack, Robert (2011). "Hilbert modular forms and the Gross-Stark conjecture". Annals of Mathematics. 174 (1):...