NONVANISHING OF TWISTS OF L-FUNCTIONS ATTACHED TO HILBERT MODULAR FORMS

One can describe quasi-modular forms in the framework of the algebraic geometry of elliptic curves, and in particular, the Ramanu- jan differential equation between Eisenstein series

Abstract In this article we study a differential algebra of modular-type functions attached to the periods of a one-parameter family of Calabi–Yau varieties which is mirror dual to

The development of the theory of modular forms as holomorphic func- tions in the Poincaré upper half plane has shown that many of problems related to modular forms can be proved if

– We prove non-trivial lower bounds for the growth of ranks of Selmer groups of Hilbert modular forms over ring class fields and over certain Kummer extensions, by establishing first

Other examples are the Theorems of Shimura on Rankin-Selberg type zeta functions for Hilbert modular forms ([34], [35], [37]) on which the arguments of this paper are loosely

TERADA, Problème de Riemann et fonctions automorphes provenant des fonctions hypergeometriques de plusieurs variables, J. TERADA, Fonctions Hypergeometriques F1

The induction step, in the case of binary theta functions, is provided by Theorem 4.7 of Part I, which in turn is based on my joint work.. with Kudla on

HIRZEBRUCH: The ring of Hilbert modular forms for real quadratic number fields of small discriminant, Lecture Notes in Math.. PRESTEL: Die elliptische Fixpunte