Download PDF Holomorphic Hilbert Modular Forms

Holomorphic Hilbert Modular Forms. Paul B. Garrett

Book Details:

Author: Paul B. Garrett
Published Date: 01 Sep 1989
Publisher: Taylor & Francis Inc
Language: English
Format: Hardback::320 pages, ePub
ISBN10: 0534103448
Imprint: CRC Press Inc
File size: 43 Mb
Dimension: 171.45x 247.65x 19.05mm::635.03g
Download: Holomorphic Hilbert Modular Forms

THE RINGS OF HILBERT MODULAR FORMS FOR Q(p 29) AND Q(p 37) BRANDON WILLIAMS Abstract. We use Borcherds products and their restrictions to Hirzebruch-Zagier curves to deter-mine ge Previous article in issue: CONNECTIONS, DEFINITE FORMS, AND FOUR-MANIFOLDS HOLOMORPHIC HILBERT MODULAR FORMS Holomorphic Hilbert Modular Forms Wadsworth & Brooks/Cole Mathematics Series: Paul B. Garrett: Libros en idiomas extranjeros. We prove the algebraicity of the ratio of the Petersson norm of a holomorphic Hilbert modular form over a totally real number field and the norm of its In this thesis, we will study the arithmetic of the Asai L-function for Hilbert modular forms over a real quadratic eld. This is motivated a p-adic analog of the Beilinson conjecture for Hilbert modular surfaces. This p-adic analog, which is expected to involve p ThePennsylvaniaStateUniversity TheGraduateSchool DepartmentofMathematics ANTICYCLOTOMIC IWASAWA THEORY FOR HILBERT MODULAR FORMS ADissertationin Mathematics Paul B. GARRETT: 301 pp., US$5900, ISBN 0 534 10344 8 (Wadsworth, 1989). GL+. 2 (F). A Hilbert cusp form of parallel weight 2 and level N is a. (holomorphic) function f:Hn C such that f (γz) = f. (a1z1 + b1 c1z1 + d1. a classical holomorphic modular form of integral weight or to a holomorphic Hilbert classical or Hilbert modular forms this is also referred to as the Ramanujan- modular forms which generalize the usual Hilbert modular forms (see [5]). Let be a discrete subgroup of SL(2, R)n. Assume that there are a holomorphic map In particular, we construct Rankin Cohen brackets for Hilbert modular forms, and more generally, multilinear differential operators on the space of Hilbert modular forms. As an application, we explicitly determine the Rankin Cohen bracket of a Hilbert Eisenstein series and an arbitrary Hilbert modular form. Hilbert modular forms and varieties Applications of Hilbert modular forms The k is a holomorphic function f:HF C such that fk = f, for. on Hilbert modular forms). The space of (holomorphic) functions on H satisfying the nice classical analytic approach to modular forms. Hilbert modular forms are functions in n variables, each a complex number in the upper half-plane, satisfying a modular relation for 2 2 matrices with entries in a totally real number field. iv, 186 7, 343 6;cubic forms, iv, -353;geometric transformation, vn, 121 2; Hexahedron: edges of, problem, x, 613; automorphic function for, xi, 184. Hilbert, D.:curves in space, v, 614; abstract geometry, vi, 596. Holomorphic ON OVERCONVERGENT HILBERT MODULAR CUSP FORMS 3 this group. Therefore in view of various arithmetic applications it would be desirable to de ne overconvergent and p-adic families of modular forms Compre o livro Holomorphic Hilbert Modular Forms na confira as ofertas para livros em ingl�s e importados Modular forms, p-adic L-functions and Selmer groups July 7-13, 2013 - NIO (Oriahovitza), Bulgaria Organizers: Mladen Dimitrov, Ivan Horozov, Jacques Tilouine and Eric Urban For k Zm, a holomorphic Hilbert modular form of weight k with respect The same notion of Hilbert modular forms can be defined with 3.1 Hilbert automorphic forms of holomorphic type. 15. 3.2 Hecke 5.4.1 The action of Aut(C) on Hilbert modular forms. 52.