The arithmetic of Hilbert modular forms has been extensively studied under the assumption that the forms concerned are “paritious”—all the components of the weight are congruent modulo 2. In contrast, non-paritious Hilbert ...

Let K be a real quadratic field and OK its ring of integers. Let Γ be a congruence subgroup of SL2(OK) and M(k1,k2)(Γ) be the finite dimensional space of Hilbert modular forms of weight (k1, k2) for Γ. Given a form f(z) ∈ ...

We give examples of generalized modular forms with the property that their divisors are supported at the cusps and the exponents in their q-product expansions take infinitely many values. © 2007 Springer Science+Business ...

In this article we study a Rankin-Selberg convolution of n complex variables for pairs of degree n Siegel cusp forms. We establish its analytic continuation to ℂn, determine its functional equations and find its singular ...

Sea F un cuerpo de números totalmente real de dimensión d sobre los racionales Q, O_F el anillo de enteros y Gamma(I) un subgrupo de congruencia de Hecke de GL_2(R). Para cada ideal primo p en O_F, p no divida a I, p un ...

We explain how the work of Johnson-Leung and Roberts on lifting Hilbert modular forms for real quadratic fields to Siegel modular forms can be adapted to imaginary quadratic fields. For this, we use archimedean results ...

We characterize all cusp forms among the degree two Siegel modular forms by the growth of their Fourier coefficients. We also give a similar result for Jacobi forms over the group SL2(Z) Z(2).

Given a prime p≥5 and an abstract odd representation ρ n with coefficients modulo p n (for some n≥1 and big image, we prove the existence of a lift of ρ n to characteristic 0 whenever local lifts exist (under minor technical ...

The modular multilevel matrix converter has been proposed as a suitable option for high power applications such as flexible AC transmission systems. Among flexible AC transmission systems, the unified power flow controller ...