On a class of elliptic functions associated with even Dirichlet characters.

We construct a class of companion elliptic functions associated with even Dirichlet characters. Using the well-known properties of the classical Weierstrass elliptic function ℘ (z | τ) as a blueprint, we will derive their representations in terms of q-series and partial fractions. We also explore the significance of the coefficients of their power series expansions and establish the modular properties under the actions of the arithmetic groups Γ 0 (N) and Γ 1 (N) . [ABSTRACT FROM AUTHOR]