On a class of elliptic functions associated with even Dirichlet characters

@article{Chen2020OnAC,
  title={On a class of elliptic functions associated with even Dirichlet characters},
  author={Dandan Chen and Rong Chen},
  journal={The Ramanujan Journal},
  year={2020},
  volume={55},
  pages={175-203}
}
We construct a class of companion elliptic functions associated with even Dirichlet characters. Using the well-known properties of the classical Weierstrass elliptic function $$\wp (z|\tau )$$ ℘ ( 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 $$\Gamma _0(N)$$ Γ 0 ( N ) and… 
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