Hecke Bound of Vector-valued Modular Forms and its Relationship with Cuspidality

Vector valued hermitian and quaternionic modular forms

The Weil Representation and Hecke Operators for Vector Valued Modular Forms

We define Hecke operators on vector valued modular forms transforming with the Weil representation associated to a discriminant form. We describe the properties of the corresponding algebra of Hecke operators and study the action on modular forms.

Construction of Vector Valued Modular Forms from Jacobi Forms

We give a geometrical construction of the canonical automorphic factor for the Jacobi group and construct new vector valued modular forms from Jacobi forms by differentiating them with respect to toroidal variables and then evaluating at zero.

validation of a revised logical-mathematical intelligence scale and exploring its relationship with english language proficiency

نظریه هوش چندگانه قسمتهای متفاوت هوش بشری را مورد بررسی قرار می دهد که با شناخت آن شخص به درک بهتری از توانایی های خود میرسد و در نتیجه سعی در استفاده از آن جهت یادگیری بهتر میکند. همچنین با شناخت استعداد دانش آموزان، فرایند یادگیری بهتر میشود. هدف از انجام دادن این تحقیق بررسی رابطه بین هوش ریاضی و استعداد یادگیری زبان انگلیسی میباشد. برای انجام این تحقیق از پرسشنامه هوش ریاضی که توسط شیرر در ...

Structure of the module of vector-valued modular forms

Let V be a representation of the modular group Γ of dimension p. We show that the Z-graded space H(V ) of holomorphic vector-valued modular forms associated to V is a free module of rank p over the algebra M of classical holomorphic modular forms. We study the nature of H considered as a functor from Γ-modules to graded M-lattices and give some applications, including the calculation of the Hil...