Authors: Keshav Aggarwal ^1,2; Yeongseong Jo ^1,2; Kevin Nowland ^1,2

• 1 Mathematics Department, The Ohio State University
• 2 Department of Mathematics [Ohio State University]

Let $M$ be a squarefree positive integer and $P$ a prime number coprime to $M$ such that $P \sim M^{\eta}$ with $0 < \eta < 2/5$. We simplify the proof of subconvexity bounds for $L(\frac{1]{2}, f \otimes \chi)$when$f$is a primitive holomorphic cusp form of level$P$and$\chi$is a primitive Dirichlet character modulo$M$. These bounds are attained through an unamplified second moment method using a modified version of the delta method due to R. Munshi. The technique is similar to that used by Duke-Friedlander-Iwaniec save for the modification of the delta method.