On a secant Dirichlet series and Eichler integrals of Eisenstein series

Bruce C. Berndt, Armin Straub

We consider, for even $s$, the secant Dirichlet series ${\psi }_s(\tau )={\sum }_{n=1}^{\infty }\frac{\sec (\pi n\tau )}{n^s}$, recently introduced and studied by Lal\'ın, Rodrigue and Rogers. I…