We define modular forms of nonnegative weight k on the full modular group Gamma and give some of their properties. We proceed to show the behavior of Hecke ope rators on modular forms. Then we discuss the multiplicative ...
We introduce Harmonic Maass forms and present some of their analytic properties.
We continue to define their related L-series by using Laplace transform, and prove
their functional equations. Our primary objective is to ...
For any positive integer n, we introduce the symplectic group, a subgroup of GL( 2n,Z), denoted by Sp(2n,Z). This group induces a group action on Hn, the set of n x n symmetric complex matrices whose imaginary part is ...
We give definitions and basic properties of modular forms of weight k on the ful l modular group SL subscript 2(Z). We proceed to show the behavior of the Dedeki nd eta function under inversion using Siegel's proof. We ...
The efficacy and feasibility of using children's literature as an instructional tool that provides a meaningful and realistic context to enhance number sense wa s studied through a teaching experiment involving three third ...